| Title:
|
The life and work of Bohuslav Balcar (1943--2017) (English) |
| Author:
|
Bukovský, Lev |
| Author:
|
Jech, Thomas |
| Author:
|
Simon, Petr |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
415-421 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
01A70 |
| MSC:
|
03-03 |
| MSC:
|
54-03 |
| idZBL:
|
Zbl 06997359 |
| idMR:
|
MR3914709 |
| DOI:
|
10.14712/1213-7243.2015.272 |
| . |
| Date available:
|
2018-12-28T15:04:45Z |
| Last updated:
|
2021-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147547 |
| . |
| Reference:
|
[1] Balcar B., Jech T.: Models of the theory of sets generated by a perfect relation.Časopis Pěst. Mat. 90 (1965), 413–434 (Russian. Czech, German summary). MR 0209145 |
| Reference:
|
[2] Balcar B., Slavíček S.: Computer minimization of incompletely specified logical functions.Apl. Mat. 11 (1966), no. 4, 278–282 (Czech). |
| Reference:
|
[3] Vopěnka P., Balcar B.: Generator classes in set theory.Z. Math. Logik Grundlagen Math. 13 (1967), 97–98. MR 0210580, 10.1002/malq.19670130702 |
| Reference:
|
[4] Vopěnka P., Balcar B.: On complete models of the set theory.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 15 (1967), 839–841. Zbl 0177.01404, MR 0242659 |
| Reference:
|
[5] Vopěnka P., Balcar B., Hájek P.: The notion of effective sets and a new proof of the consistency of the axiom of choice.J. Symbolic Logic 33 (1968), no. 3, 495–496. |
| Reference:
|
[6] Balcar B., Hájek P.: Description of the hypothetical computing machine AIC for automatic processing of curves.Československá fyziologie 18 (1969), no. 2, 151–154 (Czech). |
| Reference:
|
[7] Balcar B., Sochor A.: The general theory of semisets. Syntactic models of the set theory.Aspects of Math. Logic, C.I.M.E., Varenna, 1968, Edizioni Cremonese, Rome, 1969, 267–285. MR 0255388 |
| Reference:
|
[8] Balcar B., Vopěnka P.: On systems of almost disjoint sets.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 421–424. MR 0314618 |
| Reference:
|
[9] Balcar B.: A theorem on supports in the theory of semisets.Prepared for publication by P. Hájek, Comment. Math. Univ. Carolinae 14 (1973), no. 1, 1–6. Zbl 0281.02060, MR 0340015 |
| Reference:
|
[10] Balcar B., Guzicki W.: A remark on powers of singular cardinals.Set Theory and Hierarchy Theory, Proc. Second Conf., Bierutowice, 1975, Lecture Notes in Math., 537, Springer, Berlin, 1976, pages 25–28. MR 0457211, 10.1007/BFb0096890 |
| Reference:
|
[11] Balcar B., Vojtáš P.: Refining systems on Boolean algebras.Set Theory and Hierarchy Theory, V, Proc. Third Conf., Bierutowice, 1976, Lecture Notes in Math., 619, Springer, Berlin, 1977, pages 45–48. MR 0498304, 10.1007/BFb0067641 |
| Reference:
|
[12] Balcar B., Štěpánek P.: Boolean matrices, subalgebras and automorphisms of complete Boolean algebras.Fund. Math. 96 (1977), no. 3, 211–223. MR 0485333, 10.4064/fm-96-3-211-223 |
| Reference:
|
[13] Štěpánek P., Balcar B.: Embedding theorems for Boolean algebras and consistency results on ordinal definable sets.J. Symbolic Logic 42 (1977), no. 1, 64–76. MR 0498122, 10.2307/2272320 |
| Reference:
|
[14] Balcar B., Frankiewicz R.: To distinguish topologically the spaces $m^{\ast} $, II.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), no. 6, 521–523. MR 0511955 |
| Reference:
|
[15] Balcar B., Hájek P.: On sequences of degrees of constructibility.Z. Math. Logik Grundlagen Math. 24 (1978), no. 4, 291–296. MR 0498139, 10.1002/malq.19780241903 |
| Reference:
|
[16] Balcar B., Frankiewicz R.: Ultrafilters and $\omega _{1}$-points in $\beta N\setminus{\bf N}$.Bull. Acad. Polon. Sci. Sér. Sci. Math. 27 (1979), no. 7–8, 593–598. MR 0581558 |
| Reference:
|
[17] Balcar B., Frankiewicz R., Mills Ch.: More on nowhere dense closed $P$-sets.Bull. Acad. Polon. Sci. Sér. Sci. Math. 28 (1980), no. 5–6, 295–299. MR 0620204 |
| Reference:
|
[18] Balcar B., Pelant J., Simon P.: The space of ultrafilters on $N$ covered by nowhere dense sets.Fund. Math. 110 (1980), no. 1, 11–24. Zbl 0568.54004, MR 0600576, 10.4064/fm-110-1-11-24 |
| Reference:
|
[19] Balcar B., Simon P., Vojtáš P.: Refinement and properties and extending of filters.Bull. Acad. Polon. Sci. Sér. Sci. Math. 28 (1980), no. 11–12, 530–540. MR 0628639 |
| Reference:
|
[20] Balcar B., Vojtáš P.: Almost disjoint refinement of families of subsets of $N$.Proc. Amer. Math. Soc. 79 (1980), no. 3, 465–470. MR 0567994 |
| Reference:
|
[21] Balcar B., Simon P., Vojtáš P.: Refinement properties and extensions of filters in Boolean algebras.Trans. Amer. Math. Soc. 267 (1981), no. 1, 265–283. MR 0621987, 10.1090/S0002-9947-1981-0621987-0 |
| Reference:
|
[22] Balcar B., Franěk F.: Independent families in complete Boolean algebras.Trans. Amer. Math. Soc. 274 (1982), no. 2, 607–618. MR 0675069, 10.1090/S0002-9947-1982-0675069-3 |
| Reference:
|
[23] Balcar B., Simon P.: Strong decomposability of ultrafilters I.Logic Colloq. '80, Praha, 1980, Stud. Logic Foundations Math., 108, North-Holland, Amsterdam, 1982, pages 1–10. MR 0673783 |
| Reference:
|
[24] Balcar B., Simon P.: Cardinal invariants in Boolean spaces.General Topology and Its Relations to Modern Analysis and Algebra, V, Praha, 1981, Sigma Ser. Pure Math., 3, Heldermann, Berlin, 1983, pages 39–47. MR 0698388 |
| Reference:
|
[25] Balcar B., Dočkálková J., Simon P.: Almost disjoint families of countable sets.Finite and Infinite Sets, Vol. I, II, Eger, 1981, Colloq. Math. Soc. János Bolyai, North-Holland, Amsterdam, 1984, pages 59–88. MR 0818228 |
| Reference:
|
[26] Balcar B., Štěpánek P.: Set Theory.Academia [Publishing House of the Czech Academy of Sciences], Praha, 1986 (Czech). MR 0911270 |
| Reference:
|
[27] Balcar B., Franek F.: Completion of factor algebras of ideals.Proc. Amer. Math. Soc. 100 (1987), no. 2, 205–212. MR 0884452, 10.1090/S0002-9939-1987-0884452-2 |
| Reference:
|
[28] Balcar B., Kalášek P., Williams S. W.: On the multiple Birkhoff recurrence theorem in dynamics.Comment. Math. Univ. Carolin. 28 (1987), no. 4, 607–612. MR 0928675 |
| Reference:
|
[29] Balcar B., Simon P.: On collections of almost disjoint families.Comment. Math. Univ. Carolin. 29 (1988), no. 4, 631–646. MR 0982781 |
| Reference:
|
[30] Balcar B., Kalášek P.: Nonexistence of multiple recurrent point in the ultrafilter dynamical system.Bull. Polish Acad. Sci. Math. 37 (1989), no. 7–12, 525–529. MR 1101915 |
| Reference:
|
[31] Balcar B., Simon P.: Appendix on general topology.Handbook of Boolean Algebras, Vol. 3, North-Holland, Amsterdam, 1989, pages 1239–1267. MR 0991618 |
| Reference:
|
[32] Balcar B., Simon P.: Chart of topological duality.Handbook of Boolean algebras, Vol. 3, North-Holland, Amsterdam, 1989, pages 1236–1237. |
| Reference:
|
[33] Balcar B., Simon P.: Disjoint refinement.Handbook of Boolean Algebras, Vol. 2, North-Holland, Amsterdam, 1989, pages 333–388. MR 0991597 |
| Reference:
|
[34] Balcar B., Błaszczyk A.: On minimal dynamical systems on Boolean algebras.Comment. Math. Univ. Carolin. 31 (1990), no. 1, 7–11. MR 1056164 |
| Reference:
|
[35] Balcar B., Dow A.: Dynamical systems on compact extremally disconnected spaces.Topology Appl. 41 (1991), no. 1–2, 41–56. MR 1129697, 10.1016/0166-8641(91)90099-8 |
| Reference:
|
[36] Balcar B., Simon P.: On minimal $\pi$-character of points in extremally disconnected compact spaces.Topology Appl. 41 (1991), no. 1–2, 133–145. Zbl 0752.54013, MR 1129703, 10.1016/0166-8641(91)90105-U |
| Reference:
|
[37] Balcar B., Simon P.: Reaping number and $\pi$-character of Boolean algebras.Topological, Algebraical and Combinatorial Structures, Frolík's memorial volume, Discrete Math. 108 (1992), no. 1–3, 5–12. Zbl 0766.06012, MR 1189823 |
| Reference:
|
[38] Balcar B., Simon P.: Baire number of the spaces of uniform ultrafilters.Israel J. Math. 92 (1995), no. 1–3, 263–272. MR 1357756, 10.1007/BF02762081 |
| Reference:
|
[39] Balcar B., Franek F.: Structural properties of universal minimal dynamical systems for discrete semigroups.Trans. Amer. Math. Soc. 349 (1997), no. 5, 1697–1724. MR 1407479, 10.1090/S0002-9947-97-01868-0 |
| Reference:
|
[40] Balcar B., Jech T., Zapletal J.: Semi-Cohen Boolean algebras.Ann. Pure Appl. Logic 87 (1997), no. 3, 187–208. MR 1474561, 10.1016/S0168-0072(97)00009-2 |
| Reference:
|
[41] Balcar B., Główczyński W., Jech T.: The sequential topology on complete Boolean algebras.Fund. Math. 155 (1998), no. 1, 59–78. MR 1487988 |
| Reference:
|
[42] Balcar B., Franek F., Hruška J.: Exhaustive zero-convergence structures on Boolean algebras.Acta Univ. Carolin. Math. Phys. 40 (1999), no. 2, 27–41. MR 1751539 |
| Reference:
|
[43] Balcar B., Hušek M.: Sequential continuity and submeasurable cardinals.Proc. of the International School of Mathematics “G. Stampacchia”, Erice, 1998, Topology Appl. 111 (2001), no. 1–2, pages 49–58. MR 1806027, 10.1016/S0166-8641(99)00197-2 |
| Reference:
|
[44] Balcar B., Simon P.: The name for Kojman–Shelah collapsing function.Dedicated to Petr Vopěnka, Ann. Pure Appl. Logic 109 (2001), no. 1–2, 131–137. MR 1835243, 10.1016/S0168-0072(01)00046-X |
| Reference:
|
[45] Balcar B., Copláková E.: Zero-dimensional spaces.Encyclopedia of General Topology, (Hart K. P., Nagata J., Vaughan J. E., eds.) Elsevier Science Publishers, Amsterdam, 2004, pages 323–325. MR 2049453 |
| Reference:
|
[46] Balcar B., Hernández-Hernández F., Hrušák M.: Combinatorics of dense subsets of the rationals.Fund. Math. 183 (2004), no. 1, 59–80. MR 2098150, 10.4064/fm183-1-4 |
| Reference:
|
[47] Balcar B., Hrušák M.: Distributivity of the algebra of regular open subsets of {$\beta\mathbb R\setminus \mathbb R$.}, Topology Appl. 149 (2005), no. 1–3, 1–7. MR 2130854, 10.1016/j.topol.2004.08.009 |
| Reference:
|
[48] Balcar B., Jech T., Pazák T.: Complete CCC Boolean algebras, the order sequential topology, and a problem of von Neumann.Bull. London Math. Soc. 37 (2005), no. 6, 885–898. MR 2186722, 10.1112/S0024609305004807 |
| Reference:
|
[49] Balcar B., Jech T.: Weak distributivity, a problem of von Neumann and the mystery of measurability.Bull. Symbolic Logic 12 (2006), no. 2, 241–266. Zbl 1120.03028, MR 2223923, 10.2178/bsl/1146620061 |
| Reference:
|
[50] Balcar B., Jech T.: Contributions to the theory of weakly distributive complete Boolean algebras.Andrzej Mostowski and Foundational Studies, IOS, Amsterdam, 2008, 144–150. MR 2422684 |
| Reference:
|
[51] Balcar B., Pazák T.: Quotients of Boolean algebras and regular subalgebras.Arch. Math. Logic 49 (2010), no. 3, 329–342. MR 2609986, 10.1007/s00153-010-0174-y |
| Reference:
|
[52] Balcar B., Doucha M., Hrušák M.: Base tree property.Order 32 (2015), no. 1, 69–81. MR 3333683, 10.1007/s11083-013-9316-2 |
| Reference:
|
[53] Balcar B., Pazák T., Thümmel E.: On Todorcevic orderings.Fund. Math. 228 (2015), no. 2, 173–192. MR 3294608, 10.4064/fm228-2-4 |
| . |
