Publications
of Szymon Dolecki
- S. Dolecki and F. Mynard,
Convergence Foundations of Topology, World Scientific,
2016.
- S. Dolecki, Completeness number
of families of subsets of convergence spaces. Topology
Appl. 200 (2016), 133-145.
- S. Dolecki, Polarities and
general extremal convolutions, J. Convex
Analysis, 23(2) (2016), 603-614.
- S. Dolecki and F. Mynard, A
unified theory of function spaces and hyperspaces: local
properties, Houston J. Math., 40(1) (2014), 285-318.
- S. Dolecki and G. H. Greco. Niezrozumiała
niepamięć o dziedzictwie Peany, In ¡§Dzieje
Matematyki Polskiej II¡¨, W. Więsław, ed., Instytut
Matematyczny Uniwersytetu Wrocławskiego, 2013, 39-51.
- S. Dolecki, Analyse
Fondamentale, Espaces métriques, topologiques et normés,
deuxième édition revue et augmentée avec exercices
résolus, Hermann 2013 (378 pages).
- S. Dolecki, F.
Jordan and F. Mynard, Group
topologies coarser than the Isbell topology,
Topology Appl. 158 (2011), 1962-1968.
- S. Dolecki and G. H. Greco, Tangency
vis-à-vis differentiability by Peano, Severi and
Guareschi,
J. Convex Analysis, 18 (2011), No. 2, 301-339.
- S. Dolecki, Analyse Fondamentale, Espaces métriques,
topologiques et normés, Hermann 2011 (188 pages).
- S. Dolecki and F. Mynard, When
is the Isbell topology a group topology?,
Topology Appl. 157 (2010), 1370-1378
- S. Dolecki, An
initiation into convergence theory,
in Beyond
Topology, Contemporary Mathematics Series A.M.S.,
486 (2009), Frédéric
Mynard and Elliott Pearl, editors, 115-162
- S. Dolecki, H.-P. Künzi and T. Nogura, Weak
regularity and consecutive topologizations and
regularizations of pretopologies, Topology
Appl. 156 (2009), 1306¡V1314
- S. Dolecki, Properties
transfer between topologies on function spaces,
hyperspaces and underlying spaces,
Mathematica Pannonica 19 (2008), 241¡V260.
- S. Dolecki, F. Jordan and F. Mynard, Reflective
classes
of sequentially based convergences, sequential
continuity and sequence-rich filters, Topology
Proceedings 31 (2007), 457-479.
- S. Dolecki and G. H. Greco,
Towards historical roots
of necessary conditions of optimality: Regula of Peano,
Control and Cybernetics 36 (2007), 491-518.
- S. Dolecki, Adherence
of minimizers for dual convergences, Control and
Cybernetics 36 (2007), 647-458.
- Dolecki, S., Gauld, D., Irregularity, Topology
Appl. 154 (2007), 1565-1580.
- Dolecki, S., Erratum to:
"Convergence-theoretic characterizations of compactness"
[Topology Appl. 125 (2002), no. 3, 393-417; MR1934279].
Topology Appl. 154 (2007), no. 6, 1216-1217.
- Dolecki, S., Multisequences,
Quaestiones Mathematicae, 29 (2006), 239¡V277.
- Dolecki, S., Elimination
of
covers in completeness, Topology Proceedings, 28
(2004), 445-465.
- Dolecki, S., Method of multisequences.
Invited papers from the 45th Annual SAMS Congress (Stellenbosch,
2002).
Not. S. Afr. Math. Soc. 34 (2003), 1-12.
- Dolecki, S., Mynard, F., Hyperconvergences,
Applied General Topology, 4 (2003), 391-419.
- Dolecki, S., Nogura, T., Convergences, in
Encyclopedia
of
General
Topology, K.P. Hart, Jun-iti Nagata, J.E. Vaughan,
editors, North-Holland, 2003.
- Dolecki, S., Nogura, T., Peirone, R., G.
M. Reed, Non normality numbers,
Topology Proceedings, 27 (2003), 111-125
- Dolecki, S., Starosolski A., Watson S.,
Extensions of multisequences and countably uniradial
classes of topologies, Comment. Math. Univ. Carolinæ, 44
(2003) 165-181.
- Dolecki, Szymon, Convergence-theoretic
characterizations of compactness, Topology Appl. 125
(2002), 393-417.
- Dolecki, S., Nogura T., Sequential order
of finite products of topologies, Topology Proc. 25
(2002), Summer 2000, pp. 105-127.
- Dolecki, S., Nogura, T., Countably
infinite products of sequential topologies, Sc. Math.
Japonicae 55 (2002), 121-127.
- Dolecki, Szymon, Active boundaries of
upper semicontinuous and compactoid relations; closed and
inductively perfect maps. Rostock. Math. Kolloq. No. 54
(2000), 51¡V68.
- Dolecki, Szymon; Mynard, Frédéric,
Cascades and multifilters. Proceedings of the
French-Japanese Conference "Hyperspace Topologies and
Applications" (La Bussière, 1997). Topology Appl. 104
(2000), no. 1-3, 53¡V65.
- Dolecki, Szymon; Mynard, Frédéric,
Convergence-theoretic mechanisms behind product theorems.
Proceedings of the French-Japanese Conference "Hyperspace
Topologies and Applications" (La Bussière, 1997). Topology
Appl. 104 (2000), no. 1-3, 67¡V99.
- Dolecki, Szymon; El Ghali, Badia, Some old
and new results on lower semicontinuity of minimal points.
Nonlinear Anal. 39 (2000), no. 5, Ser. A: Theory Methods,
599¡V609.
- Dolecki, Szymon, Flexible niveloids. Math.
Slovaca 49 (1999), no. 1, 1¡V16.
- Dolecki, S.; Nogura, T. Two-fold theorem
on Fréchetness of products. Czechoslovak Math. J. 49(124)
(1999), no. 2, 421¡V429.
- Dolecki, Szymon; Pillot, Michel,
Topologically maximal convergences, accessibility, and
covering maps. Math. Bohem. 123 (1998), no. 4, 371¡V384.
- Dolecki, Szymon; Sitou, Saliou, Precise
bounds for the sequential order of products of some
Fréchet topologies. Proceedings of the International
Conference on Set-theoretic Topology and its Applications,
Part 2 (Matsuyama, 1994). Topology Appl. 84 (1998), no.
1-3, 61¡V75.
- Dolecki, Szymon; Pillot, Michel,
Relatively maximal convergences. Boll. Unione Mat. Ital.
Sez. B Artic. Ric. Mat. (8) 1 (1998), no. 3, 699¡V704.
- Dolecki, Szymon; Pillot, Michel,
Convergences topologiquement maximales et accessibilité.
C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 5,
511¡V514.
- Dolecki, Szymon Convergence-theoretic
approach to quotient quest. Topology Appl. 73 (1996), no.
1, 1¡V21.
- Dolecki, Szymon; Angleraud, Patrice, When
a well behaving convex function is well-conditioned.
Southeast Asian Bull. Math. 20 (1996), no. 2, 59¡V63.
- Dolecki, Szymon; Sitou, Saliou, Sur
l'ordre séquentiel du produit de deux topologies de
Fréchet. C. R. Acad. Sci. Paris Sér. I Math. 322 (1996),
no. 5, 465¡V470.
- Dolecki, Szymon; Greco, Gabriele H.,
Niveloids. Contributions dedicated to Ky Fan on the
occasion of his 80th birthday. Topol. Methods Nonlinear
Anal. 5 (1995), no. 1, 1¡V22.
- Dolecki, Szymon; Greco, Gabriele H.;
Lechicki, Alojzy, When do the upper Kuratowski topology
(homeomorphically, Scott topology) and the co-compact
topology coincide? Trans. Amer. Math. Soc. 347 (1995), no.
8, 2869¡V2884.
- Dolecki, S.; Malivert, Chr., General
duality in vector optimization. Optimization 27 (1993),
no. 1-2, 97¡V119.
- Dolecki, Szymon, Introduction to general
duality theory for multiobjective optimization. Advances
in optimization (Lambrecht, 1991), 384¡V405, Lecture Notes
in Econom. and Math. Systems, 382, Springer, Berlin, 1992.
- Dolecki, Szymon; Peirone, Roberto,
Topological semigroups of every countable sequential
order. Recent developments of general topology and its
applications (Berlin, 1992), 80¡V84, Math. Res., 67,
Akademie-Verlag, Berlin, 1992.
- Dolecki, S.; Guillerme, J.; Lignola, M.
B.; Malivert, C., £F-inequalities and stability of
generalized extremal convolutions. Math. Nachr. 152
(1991), 299¡V323.
- Dolecki, Szymon; Greco, Gabriele H.;
Lechicki, Alojzy, Sur la topologie de la convergence
supérieure de Kuratowski. C. R. Acad. Sci. Paris Sér. I
Math. 312 (1991), no. 12, 923¡V926.
- Dolecki, Szymon; Greco, Gabriele H.,
Niveloïdes: fonctionnelles isotones commutant avec
l'addition de constantes finies. C. R. Acad. Sci. Paris
Sér. I Math. 312 (1991), no. 1, 113¡V118.
- Dolecki, Szymon, Tangency and
differentiation: marginal functions. Adv. in Appl. Math.
11 (1990), no. 4, 389¡V411.
- Dolecki, Szymon, Open relation theorem
without closedness assumptions. Proc. Amer. Math. Soc. 109
(1990), no. 4, 10191024
- Dolecki, S., Fuzzy £F-operators and
convolutive approximations. Nonsmooth optimization and
related topics (Erice, 1988), 109¡V131, Ettore Majorana
Internat. Sci. Ser. Phys. Sci., 43, Plenum, New York,
1989.
- Dolecki, Szymon; Malivert, Christian,
Stability of efficient sets: continuity of mobile
polarities. Nonlinear Anal. 12 (1988), no. 12, 1461¡V1486.
- Dolecki, Szymon; Guillerme, Jean; Lignola,
M. Beatrice; Malivert, Christian, Méthode des
£F-inégalités. C. R. Acad. Sci. Paris Sér. I Math. 307
(1988), no. 12, 659¡V662.
- Dolecki, Szymon; Moschen, Maria Pia,
Inequalities involving £F-functionals and semicomplete
lattice homomorphisms. Rend. Sem. Mat. Univ. Padova 77
(1987), 149¡V159.
- Dolecki, S., Convergence of minima in
convergence spaces. Optimization 17 (1986), no. 5,
553¡V572.
- Dolecki, Szymon; Greco, Gabriele H.,
Cyrtologies of convergences. II. Sequential convergences.
Math. Nachr. 127 (1986), 317¡V334.
- Dolecki, Szymon; Greco, Gabriele H.,
Cyrtologies of convergences. I. Math. Nachr. 126 (1986),
327¡V348.
- Del Prete, I.; Dolecki, S.; Lignola, M.
B., Continuous convergence and preservation of
convergences of sets. J. Math. Anal. Appl. 120 (1986), no.
2, 454¡V471.
- Dolecki, Szymon, Lower semicontinuity of marginal
functions. Selected topics in operations research and
mathematical economics (Karlsruhe, 1983), 30¡V41, Lecture
Notes in Econom. and Math. Systems, 226, Springer, Berlin,
1984.
- Dolecki, Szymon; Greco, Gabriele H.; Lechicki,
Alojzy, Compactoid and compact filters. Pacific J. Math.
117 (1985), no. 1, 69¡V98.
- Dolecki, Szymon; Greco, Gabriele H., Topologically
maximal pretopologies. Studia Math. 77 (1984), no. 3,
265¡V281.
- Dolecki, Szymon, Hypertangent cones for a special
class of sets. Optimization: theory and algorithms
(Confolant, 1981), 3¡V11, Lecture Notes in Pure and Appl.
Math., 86, Dekker, New York, 1983.
- Dolecki, Szymon; Salinetti, Gabriella; Wets, Roger
J.-B., Convergence of functions: equi-semicontinuity.
Trans. Amer. Math. Soc. 276 (1983), no. 1, 409¡V430.
- Dolecki, Szymon; Greco, Gabriele H., Familles
pseudotopologiques de filtres et compacité. C. R. Acad.
Sci. Paris Sér. I Math. 296 (1983), no. 4, 211¡V214.
- Dolecki, Szymon; Lechicki, Alojzy, On structure of
upper semicontinuity. J. Math. Anal. Appl. 88 (1982), no.
2, 547¡V554.
- Dolecki, Szymon, Tangency and differentiation: some
applications of convergence theory. Ann. Mat. Pura Appl.
(4) 130 (1982), 223¡V255.
- Dolecki, Szymon,
Corrigendum: "Abstract study of optimality conditions" [J.
Math. Anal. Appl. 73 (1980), no. 1, 24¡V48; MR 81c:90075].
J. Math. Anal. Appl. 82 (1981), no. 1, 295¡V296.
- Dolecki, Szymon, Semicontinuity in constrained
optimization. II. Control Cybernet. 7 (1978), no. 4, 51¡V68
(1979).
- Dolecki, Szymon, Semicontinuity in constrained
optimization. Ib. Normed spaces. Control Cybernet. 7
(1978), no. 3, 17¡V26.
- Dolecki, Szymon, Semicontinuity in constrained
optimization. I. 1. Metric spaces. Control Cybernet. 7
(1978), no. 2, 5¡V16.
- Dolecki, Szymon; Lechicki, Alojzy, Semi-continuité
supérieure forte et filtres adhérents. C. R. Acad. Sci.
Paris Sér. I Math. 293 (1981), no. 3, 219¡V221.
- Dolecki, Szymon, A general theory of necessary
optimality conditions. J. Math. Anal. Appl. 78 (1980), no.
1, 267¡V308.
- Dolecki, Szymon, Abstract study of optimality
conditions. J. Math. Anal. Appl. 73 (1980), no. 1, 24¡V48.
- Dolecki, Szymon; Rolewicz, Stefan, Exact penalties
for local minima. SIAM J. Control Optim. 17 (1979), no. 5,
596¡V606.
- Dolecki, Szymon; Rolewicz, Stefan, Metric
characterizations of upper semicontinuity. J. Math. Anal.
Appl. 69 (1979), no. 1, 146¡V152.
- Dolecki, Szymon, Extremal measurable selections.
Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25
(1977), no. 4, 355¡V360.
- Dolecki, Szymon, Bounded controlling sequences, lower
stability and certain penalty procedures. Appl. Math.
Optim. 4 (1977/78), no. 1, 15¡V26.
- Dolecki, Szymon; Rolewicz, Stefan, A characterization
of semicontinuity preserving multifunctions. J. Math.
Anal. Appl. 65 (1978), no. 1, 26¡V31.
- Dolecki, Szymon, A classification of controllability
concepts for infinitedimensional linear systems. Control
Cybernet. 5 (1976), no. 2, 33¡V44.
- Dolecki, Szymon; Kurcyusz, Stanisław, On
£X-convexity in extremal problems. SIAM J. Control
Optimization 16 (1978), no. 2, 277¡V300.
- Dolecki, Szymon, Remarks on semicontinuity. Bull.
Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25
(1977), no. 9, 863¡V867.
- Dolecki, Szymon; Russell, David L., A general theory
of observation and control. SIAM J. Control Optimization
15 (1977), no. 2, 185¡V220.
- Dolecki, Szymon, Duality of various notions of
controllability and observability. International
Conference on Differential Equations (Univ. Southern
California, Los Angeles, Calif., 1974), pp. 256¡V265.
Academic Press, New York, 1975.
- Dolecki, Szymon, Observability for regular processes.
J. Math. Anal. Appl. 58 (1977), no. 1, 178¡V188.
- Dolecki, Szymon; Kurcyusz, Stanislaw, Convexité
généralisée et optimisation. C. R. Acad. Sci. Paris Sér.
A-B 283 (1976), no. 3, Aii, A91¡VA94.
- Dolecki, Szymon, Contrôlabilité et observabilité des
systèmes en série. Control Cybernet. 5 (1976), no. 1,
21¡V34.
- Dolecki, Szymon, Observability for the
one-dimensional heat equation. Studia Math. 48 (1973),
291¡V305.
- Dolecki, Szymon, Variations sur le thème de la
compacité. Séminaire d'Analyse, 1992¡V1993 (Aubière), Exp.
No. 10, 23 pp., Sémin. Anal. Univ. Blaise Pascal (Clermont
II), 8, Univ. Blaise Pascal (Clermont II),
Clermont-Ferrand, 1996.
- Dolecki, Szymon; Sitou, Saliou, Sequential order of
products of Fréchet topologies. The theory of topological
spaces and some related problems (Japanese) (Kyoto, 1996).
No. 953 (1996), 10¡V18.
- Dolecki, S., Continuity of bilinear and
nonbilinear polarities. Optimization and related fields
(Erice, 1984), 191¡V213, Lecture Notes in Math., 1190,
Springer, Berlin, 1986.
Edition
- Advances
in Set-Theoretic Topology: Proceedings of the Conference
in Honour of Professor Tsugunori Nogura on His Sixtieth
Birthday (9¡V19 June 2008, Erice, Sicily,
Italy), Topology Appl. 157(8) (2010)
1247-1592.
- Proceedings
of the French-Japanese Conference "Hyperspace Topologies
and Applications". Held in La Bussière, October 5¡V10,
1997. Editors Ch. Bonatti, S. Dolecki et T. Nogura.
Topology Appl. 104 (2000), 1-309.
- Proceedings
of the International School of Mathematics "G.
Stampacchia". 27th Course: Convergence and Topology. Held
in Erice, June 27¡VJuly 2, 1998. Editors Peter Collins,
Szymon Dolecki and Gino Tironi. Topology Appl. 111 (2001),
pp. 1-206.
- Proceedings
of the International Conference on Convergence Theory.
Held at Burgundy University, Dijon, September 26¡VOctober
1, 1994. Edited by Szymon Dolecki. Topology Appl. 70
(1996), no. 2-3. North-Holland Publishing Co., Amsterdam,
1996. pp. i¡Viv and 85¡V253.
- Optimization.
Proceedings of the Fifth French-German Conference held in
Varetz, October 3¡V8, 1988. Edited by S. Dolecki. Lecture
Notes in Mathematics, 1405. Springer-Verlag, Berlin, 1989.
- Mathematical
Control Theory, Proceedings of a conference, Zakopane
January 1974. Edited by Szymon Dolecki, Czesław Olech and
Jerzy Zabczyk. Banach Center Publications, vol. 1,
PWN-Polish Scientific Publishers 1976.
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