Jan Pelant (18.2.1950–11.4.2005)

Balcar, B.   ; Müller, V.   ; Nešetřil, J.   ; Simon, P.

Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 1-8

Détail

Classification : 01A70, 54-03

Bibliographie

[B1] Functional analysis and infinite-dimensional geometry. CMS Books in Mathematics/Ouvrages de Mathematiques de la SMC, 8, Springer, New York, 2001 ((with M. Fabian, P. Habala, P. Hájek, V. Montesinos, V. Zizler)). | MR | Zbl

[B2] Recent progress in hyperspace topologies. Recent Progress in General Topology II, M. Hušek, J. van Mill (eds.), Elsevier, Amsterdam, 2002, pp. 253–285 ((with L. Holá)). | MR | Zbl

[1] Either tournaments or algebras. Comment. Math. Univ. Carol. 13 (1972), 801–807 ((with V. Müller, J. Nešetřil)). | MR

[2] On generating of relations. Comment. Math. Univ. Carol. 14 (1973), 95–105 ((with V. Rödl)). | MR | Zbl

[3] Lattice of $E$-compact spaces. Comment. Math. Univ. Carol. 14 (1973), 719–738. | MR

[4] Note about atom categories of topological spaces. Comment. Math. Univ. Carol. 15 (1974), 767–773 ((with M. Hušek)). | MR | Zbl

[5] On strongly homogeneous tournaments. Czechoslovak Math. J. 24 (1974), 378–391 ((with V. Müller)). | MR | Zbl

[6] Either tournaments of algebras?, Discrete Math. 11 (1975), 37–66 ((with V. Müller, J. Nešetřil)). | MR | Zbl

[7] Remark on locally fine spaces. Comment. Math. Univ. Carol. 16 (1975), 501–504. | MR | Zbl

[8] Atoms in uniformities. Seminar Uniform Spaces 1973–74, directed by Z. Frolík, MÚ ČSAV Praha, 73–81 ((with J. Reiterman)). | MR | Zbl

[9] One folklore lemma on cardinal reflections in Unif. Seminar Uniform Spaces 1973–74, directed by Z. Frolík, MÚ ČSAV Praha, 145–147.

[10] Cardinal reflections and point character of uniformities. Seminar Uniform Spaces 1973–74, directed by Z. Frolík, MÚ ČSAV Praha, 149–158. | Zbl

[11] Reflections not preserving completeness. Seminar Uniform Spaces 1973–74, directed by Z. Frolík, MÚ ČSAV Praha, 235–240. | MR | Zbl

[12] a) Universal metric spaces, Informal Notes of Seminar of Uniform Spaces, b) Universal metric spaces. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 49–53.

[13] a) On uniformly local uniformities. Informal Notes of Seminar Uniform Spaces 1974–75 ((with D. Preiss, J. Vilímovský)).

[14] The number of Hamiltonian circuits. J. Comb. Theory, Ser. B, 24 (1978), 223–227 ((with V. Müller)). | MR | Zbl

[15] Atoms and proximal fineness. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 37–41 ((with J. Reiterman)). | Zbl

[16] Point-character of uniformities and completeness. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 55–61. | Zbl

[17] Two examples of reflections. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 63–68 ((with J. Vilímovský)). | Zbl

[18] Injectivity of polyhedra. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 73 ((with P. Pták)). | Zbl

[19] On hedgehog-topologically fine uniform spaces. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 75–86 ((with Z. Frolík, J. Vilímovský)). | Zbl

[20] On $\sigma $-discreteness in uniform spaces. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 115–120 ((with P. Pták)). | MR | Zbl

[21] General hedgehogs in general topology. Seminar Uniform Spaces 1975–76, directed by Z. Frolík, MÚ ČSAV Praha, 145–150. | Zbl

[22] Combinatorial properties of uniformities. Lecture Notes in Math. 609 ( (1976), 154–165 (A. Dold, B. Eckmann, eds.), TOPOSYM IV). | MR

[23] Remarks on $e$-locally fine spaces. Seminar Uniform Spaces 1976–77, directed by Z. Frolík, MÚ ČSAV Praha, 51–62 ((with M. D. Rice)). | Zbl

[24] Extension of uniformly continuous functions. Bull. Pol. Acad. Sci. 26 (1978), 143–148 ((with Z. Frolík, J. Vilímovský)).

[25] Atoms in uniformities and proximities. TOPOSYM IV, JČMF Praha (1979), 353–356 ((with J. Reiterman)). | MR

[26] On unions of metrizable subspaces. Canad. J. Math. 32 (1980), 76–85 ((with E. van Douwen, D. Lutzer, G. Reed)). | MR | Zbl

[27] The spaces of ultrafilters on $N$ covered by nowhere dense sets. Fundam. Math. 110 (1980), 11–24 ((with B. Balcar, P. Simon)). | MR

[28] Complements in the lattice of uniformities. Comment. Math. Univ. Carol. 22 (1981), 399–412 ((with J. Reiterman)). | MR | Zbl

[29] The complexity of $\sigma $-discretely decomposable families in uniform spaces. Comment. Math. Univ. Carol. 22 (1981), 317–326 ((with P. Pták)). | MR | Zbl

[30] On compactification of GO-spaces. Topology and order structures, Math. Centre Tract 169 (part 2), Amsterdam, 1983, 47–52 ((H. R. Bennett, D. J. Lutzer, eds.)).

[31] Uniform spaces-selected topics. TOPOSYM v Praze 1981, Sigma Ser. Pure Math., Heldermann, Berlin (1983), 395–400 ((with Z. Frolík, M. Hušek, V. Rödl, J. Vilímovský)). | MR | Zbl

[32] Uniform weight of uniform quotients. Comment. Math. Univ. Carol. 24 (1983), 335–340 ((with M. Hušek)). | MR | Zbl

[33] On complexity of metric spaces. Fund. Math. 125 (1985), 133–142 ((with A. Hohti)). | MR | Zbl

[34] Extensions of cyclically monotone mappings. Proc. 13th Winter School, Suppl.-Rend. Circ. Mat. Pal., Ser. II (1985), 81–88 ((with S. Poljak)). | MR | Zbl

[35] Ideals of uniformly continuous mappings on pseudometric spaces. Comment. Math. Univ. Carol. 27 (1986), 571–580 ((with J. Vilímovský)). | MR | Zbl

[36] Locally fine uniformities and normal covers. Czechoslovak Math. J. 37 (1987), 181–187. | MR | Zbl

[37] Continuous images of compact semilattices. Canad. Math. Bull 30 (1987), 109–113 ((with M. G. Bell)). | MR | Zbl

[38] Limit behaviour of trajectories involving subgradients of convex functions. Comment. Math. Univ. Carol. 28 (1987), 457–466 ((with S. Poljak, D. Turzík)). | MR | Zbl

[39] Extensions and restrictions in products of metric spaces. Topology Appl. 25 (1987), 245–252 ((with M. Hušek)). | MR | Zbl

[40] Banach space properties of Ciesielski-Pol’s $C(K)$-space. Proc. Amer. Math. Soc. 103 (1988), 1087–1093 ((with G. Godefroy, J. H. M. Whitfield, V. Zizler)). | MR | Zbl

[41] The smallest number of free prime closed filters. Fund. Math. 131 (1988), 215–221 ((with P. Simon, J. Vaughan)). | MR | Zbl

[42] Analytic spaces and paracompactness of $X^2$-$\bigtriangleup $. Topology Appl. 28 (1988), 11–15 ((with G. Gruenhage)). | MR | Zbl

[43] Ultrafilters on $\omega $ and atoms in the lattice of uniformities I. Topology Appl. 30 (1988), 1–11 ((with J. Reiterman, V. Rödl, P. Simon)). | MR | Zbl

[44] Ultrafilters on $\omega $ and atoms in the lattice of uniformities II. Topology Appl. 30 (1988), 107–125 ((with J. Reiterman, V. Rödl, P. Simon)). | MR | Zbl

[45] A remark on spaces of bounded continuous functions. Proc. Konin. Neder. Akad. Weter., Ser. A. Indag. Math. 91 (1988), 335–338. | DOI | MR | Zbl

[46] On topological and linear homeomorphisms of certain function spaces. Topology Appl. 32 (1989), 267–277 ((with J. Baars, J. de Groot, J. van Mill)). | MR | Zbl

[47] Uniformly continuous selections and $\ell _1$-property. Topology Appl. 33 (1989), 85–97. | DOI | MR

[48] On supercomplete uniform spaces IV: Countable products. Fund. Math. 136 (1990), 115–120 ((with A. Hohti)). | MR | Zbl

[49] On $\delta $-continuous selections of small multifunctions and covering properties. Comment. Math. Univ. Carol. 32 (1991), 121–126 ((with A. Fedeli)). | MR | Zbl

[50] On coverings of infinite-dimensional metric spaces. Discrete Math. 108 (1992), 75–81 ((with V. Rödl)). | MR | Zbl

[51] Cantor set selectors. Topology Appl. 44 (1992), 163–166 ((with V. Gutev, S. Nedev, V. Valov)). | DOI | MR | Zbl

[52] On the infimum of the Hausdorff and Vietoris topologies. Proc. Amer. Math. Soc. 118 (1993), 971–978 ((with S. Levi, R. Lucchetti)). | MR | Zbl

[53] An example of $\ell _p$-equivalent spaces which are not $\ell _{p}^{*}$-equivalent. Proc. Amer. Math. Soc. 119 (1993), 963–969 ((with J. Baars, J. de Groot, J. van Mill)). | MR

[54] Function spaces of completely metrizable spaces. Trans. Amer. Math. Soc. 340 (1993), 871–883 ((with J. Baars, J. de Groot)). | MR | Zbl

[55] Lindelöf modifications and $K$-analytic spaces. Mathematika 40 (1993), 1–6 ((with P. Holický, D. H. Fremlin)). | MR

[56] Infima of hyperspace topologies. Mathematika 42 (1995), 67–86 ((with C. Costantini, S. Levi)). | MR | Zbl

[57] a) Embeddings into $c_0^+$. Rapport nr. 201, Vrije Universiteit Amsterdam (1982).

[58] The cancellation law for compact Hausdorff spaces and vector-valued Banach-Stone theorems. Arch. Math. 64 (1995), 341–343 ((with E. Behrends)). | MR | Zbl

[59] On complete strongly connected digraphs with the least number of 3-graphs. Discrete Math. 155 (1996), 27–30 ((with M. Burzio)). | MR

[60] Radon spaces which are not $\sigma $-fragmented. Acta Univ. Carol., Math. Phys. 36 (1995), 19–25 ((with P. Holický)). | MR

[61] The impact of closure operators on the structure of a concrete category. Quest. Math. 18 (1995), 381–396 ((with D. Dikranjan)). | MR | Zbl

[62] Bases, $\pi $-bases and pseudodevelopments. Topol. Proc. 19 (1994), 79–85 ((with C. Costantini, A. Fedeli)).

[63] Selections that characterize topological completeness. Fund. Math. 149 (1996), 127–140 ((with J. van Mill, R. Pol)). | MR | Zbl

[64] A universal complete metric Abelian group of a given weight. Bolyai Math. Studies 4, Proc. of Topology Appl., Szekszárd (1993), 431–439 ((with D. Shakhmatov, S. Watson)). | MR

[65] Absolute Borel sets and function spaces. Trans. Amer. Math. Soc. 349 (1997), 3585–3596 ((with W. Marciszewski)). | MR | Zbl

[66] On supercomplete $\omega _{\mu }$-metric spaces. Bull. Pol. Acad. Sci. 44 (1996), 299–310 ((with G. Artico, U. Marconi)). | MR | Zbl

[67] Examples of recurrence. Ann. N. Y. Acad. of Sci. (1996), 316–332 ((with S. W. Williams)). | MR | Zbl

[68] Weak covering properties of weak topologies. Proc. London Math. Soc. 75 (1997), 349–368 ((with A. Dow, H. Junnila)). | MR | Zbl

[69] Categories of topological spaces with sufficiently many sequentially closed spaces. Cahiers Topologie Geom. Differ. Categ. 38 (1997), 277–300 ((with D. Dikranjan)). | MR | Zbl

[70] Normality and paracompactness of the Fell topology. Proc. Amer. Math. Soc. 127 (1999), 2193–2197 ((with L. Holá, S. Levi)). | MR | Zbl

[71] Selectors and scattered spaces. Topology Appl. 111 (2001), 35–48 ((with G. Artico, U. Marconi, R. Moresco)). | MR | Zbl

[72] Properties related to the first countability of hyperspace topologies. Questions and Answers in General Topology 19 (2001), 139–157 ((with G. Di Maio, L. Holá)). | MR | Zbl

[73] Functions with distant fibres and uniform continuity. Topology Appl. 121 (2002), 3–23 ((with A. Berarducci, D. Dikranjan)). | MR

[74] Compactness and local compactness in hyperspaces. Topology Appl. 123 (2002), 573–608 ((with C. Costantini, S. Levi)). | MR | Zbl

[75] Uniform quasi components, thin spaces and compact separation. Topology Appl. 122 (2002), 51–64 ((with A. Berarducci, D. Dikranjan)). | MR | Zbl

[76] The locally fine coreflection and normal covers in the products of partition-complete spaces. Topology Appl. 126 (2002), 187–205 ((with A. Hohti, M. Hušek)). | MR | Zbl

[77] Selections and suborderability. Fund. Math. 175 (2002), 1–33 ((with G. Artico, U. Marconi, L. Rotter, M. Tkachenko)). | MR | Zbl

[78] Developable hyperspaces are metrizable. Applied Gen. Topology 4 (2003), 351–360 ((with L. Holá, L. Zsilinsky)). | MR | Zbl

[79] Pseudocompact Whyburn spaces need not be Fréchet. Proc. Amer. Math. Soc. 131 (2003), 3257–3265 ((with M. G. Tkachenko, V. V. Tkachuk, R. G. Wilson)). | MR | Zbl

[80] Note on function spaces with the topology of pointwise convergence. Arch. Math. (Basel) 80 (2003), 655–663 ((with J. van Mill, Roman Pol)). | MR | Zbl

[81] Weakly Whyburn spaces of continuous functions on ordinals. Topology Appl. 133 (2003), 97–104 ((with A. Bella)). | MR | Zbl

[82] Internal descriptions of absolute Borel classes. Topology Appl. 141 (2004), 87–104 ((with P. Holický)). | MR | Zbl

[83] The structure of the $\sigma $-ideal of $\sigma $-porous sets. Comment. Math. Univ. Carol. 45 (2004), 37–72 ((with M. Zelený)). | MR | Zbl

[84] Characterizations of Ordinals via Selectors. Topology Atlas, ( http://at.yorku.ca/i/a/a/b/22.htm (with U. Marconi, L. Rotter)).

[85] Extensions of topological spaces. Encyclopedia of General Topology, K. P. Hart, J. Nagata, J. E. Vaghan (eds.), Amsterdam, Elsevier, 2004, pp. 323–325. | MR

[86] On proximities generated by countable families of entourages. Comment. Math. Univ. Carolin. 45 (2004), 535–541 ((with S. Ivanov, S. Nedev)). | MR | Zbl

[87] An additivity theorem for uniformly continuous functions. Topology Appl. 146 (2005), 330–352 ((with A. Berarducci, D. Dikranjan)). | MR | Zbl

[88] More on weak covering properties of weak topologies. ((with A. Dow, H. Junnila)).

[89] Zero-selectors and GO-spaces. Topology Appl. 152 (2005), 243–257 ((with G. Artico, U. Marconi)). | MR | Zbl

[90] $C(K)$ spaces which cannot be uniformly embedded into $c_0(\Gamma )$. ((with P. Holický, O. Kalenda)). | Zbl

[i] Zdeněk Frolík, March 10, 1933–May 3, 1989. Czechoslovak Math. J. 40 (1990), 697–708 ((with P. Simon)). | MR | Zbl

[i$\alpha $] Zdeněk Frolík, 10.3.1933–3.5.1989. Čas. Pěst. Mat. 115 (1990), 319–329 ((with P. Simon)). (Czech) | MR | Zbl

[ii] Topology Appl. 44 (1992), 11–17 ((with M. Hušek)). | MR | Zbl

[iii] Zdeněk Frolík, his life and work. Topological, algebraical and combinatorial structures, J. Nešetřil (ed.).