Mathematical Publications Peter Vojtas  

2004

• 2004     Merging concepts of alpha-cuts of fuzzy contexts     V. Snasel, D. Durakova, S. Krajci, P. Vojtas.    . Contribution to General Algebra 14 (2004) 155-166

1999                 

• 1999       On absolutely divergent series  Fuchino, S., Mildenberger, H., Shelah, S., Vojtas, P.         Fund. Math. 160.3 ,  255-268
• 1999       Translating boolean reals to fuzzy reals (reals and their topology),            P. Vojtas              Tatra Mt. Math. Publ. 16 (1999) 255-268

1998

• 1998       Series and Toeplitz matrices (a global implicit approach) Vojtas, P             Conference: Summer School on Real Functions Theory Location: LIPTOVSKY JAN, SLOVAKIA  1996, Borsik, J; Fric, R; Haluska, J eds. , Tatra Mount. Math. Publ. 14 (1998) 269—281

1997

• 1997       On matrix rapid filters Just, W; Vojtas, P European Summer Meeting of the Association-for-Symbolic-Logic Location: HAIFA, ISRAEL 1995, Fund. Math. 154.2(1997)177--18, lecture Toposym96,

1996

1995

• 1995       Boolean universe versus fuzzy sets         P Vojtás               R. Mesiar, V. Novák eds. Tatra Mt. Math. Publ 6, 179-186
• 1995       On the Boolean structure generated by Q-points of omega *,    S. Krajci, P. Vojtas            Acta Univ. Carolin. Math. Phys. 36,2 (1995) 33-38

1994

• 1994       A lattice of binary relations with polarity,              P. Vojtas              in Proc. Summer School on General Algebra and Ordered Sets, L. Jan, Aug 29-Sep 5, 1993, dedicated to J. Jakubik, Ordered alg. structures '93, T. Katrinak, M. Ploscica, P. Zlatos eds., Tatra Mt. Math. Publ. 5 (1995) 143-150
• 1994       Amoeba Relation and Galois-Tukey Connections,             P. Vojtas              Acta Univ. Carolin. Math. Phys. 35 (1994) 67-74
• 1994       On omega * and absolutely divergent series,      P. Vojtas              Topology Proceedings 19 (1994) 335-348

1993

• 1993    Boolean isomorphism between partial orderings of convergent and  divergent series and infinite subsets of betaN,    P. Vojtas    Proc. Amer. Math. Soc. 117,1 (1993) 235-242. preprint appeared as  Boolean isomorphism between partial orderings of convergent and  divergent series and infinite subsets of betaN. Preprint A/91/4 Fachbereich Mathematik, Serie A - Mathematik. Freie Universitaet Berlin, 1991, 9 pages
• 1993    Generalized Galois-Tukey connections between explicit relations  on classical objects of real analysis,    P. Vojtas    Israel Math. Conf. Proc. 6 (1993) 619-643. preprint appeared as Generalized Galois-Tukey connections between explicit relations  on classical objects of real analysis. Preprint A 91-21 Fachbereich Mathematik, Serie A - Mathematik. Freie Universitaet Berlin, 1991, 16 pages                   

1992

• 1992       A note on the effectiveness of tests for the absolute convergence and  divergence of infinite series,      P. Vojtas   Math. Slovaca 42.1 (1992) 97-101                 
  
• 1992       Cardinalities of noncentered systems of subsets of omega.         P. Vojtas              Discrete Math. 108(1-3): 125-129 (1992)                  
• 1992    Topological cardinal invariants and the Galois-Tukey category,     P. Vojtas    Recent Developments of General Topology and its Applications, W. Gahler, H. Herlich, G. Preuss eds., International Conference in Memory of Felix Hausdorff (1868-1942), Mathematical Research 67, Akademie Verlag, Berlin, 1992, 309-314        

1991

• 1991       Boolean isomorphism between partial orderings of convergent and  divergent series and infinite subsets of betaN   P. Vojtas              Preprint A/91/4 Fachbereich Mathematik, Serie A - Mathematik. Freie Universitaet Berlin, 1991, 9 pages, lecture on Toposym 1991, 
• 1991       Generalized Galois-Turkey-connections between explicit relations on classical objects of real analysis     P Vojtáš   Preprint A 91-21 Fachbereich Mathematik, Serie A - Mathematik. Freie Universitaet Berlin, 1991, 16 pages

1990

1989

• 1989 Cardinalities of noncentered systems of subsets of betaN which reflect some qualities of ultrafilters, p-points and rapid filters, P. Vojtas International Conference on Topology and its Applications, Baku, 1987, Math. Institute, Aserbaijan Acad. Sci., Baku, 1989, 263-268. (Inaccessible, published in Discrete Mathematics 108.1 (1992) 125-129)                 
  

1988

• 1988       Dependences between definitions of finiteness,              L Spisiak, P Vojtas            Czech. Math. J. 38.3 (1988) 389-397
• 1988       More on set-theoretic characteristics of summabilitiy of sequences  by regular (Toeplitz) matrices,          P. Vojtas   Comment. Math. Univ. Carolinae 29.1 (1988) 97-102

1987

• 1987       Set-theoretic characteristics of summability of sequences and convergence of series,    P. Vojtas                Comment. Math. Univ. Carolinae 28.1 (1987) 173-183

1986

• 1986       The strength of the comparison test versus gaps between convergent and divergent series,       P. Vojtas                General Topology and its Relations to Modern Analysis and Algebra VI, Proc. 6th Prague Topological Symposium 1986, Helderman Verlag, Berlin, 1988, 617-622

1985                      

• 1985    Diagonal conditions in sequential convergence,     R. Fric, P. Vojtas    Proc. Convergence Structures, Bechyně, 1984, Math. Research 24, Akademie Verlag, Berlin, 1985, 77-94

1984

• 1984    Boolean games -- classifying strategies and omitting cardinality  assumptions,     P. Vojtas    Proc.11th Winter School on Abstract Analysis 1983, Z. Frolík ed., Suppl. Rend. Circolo Mat. Palermo, Serie II.3 1984, 361-368
• 1984    Convergent sequences in betaX    R Fric, P Vojtas    Proc. 11th Winter School on Abstract Analysis 1983, Z. Frolik ed., Suppl. Rend. Circolo Mat. Palermo, Serie II.3, 1984, 133-137
• 1984    The space Omega in sequential  convergence,     Fric, R., P. Vojtas    In Proc. Convergence structures,  1984, J. Novak, W. Gaehler, H. Herrlich, and J. Mikusinski, editors,  Math. Research 24, Akademie Verlag, Berlin, 1985, 95-106
• 1984    White and Black - a Boolean game.     P. Vojtas    J. Symb. Logic 49.2 (1984) 708--709, abstracts of papers

1983

• 1983    A new sufficient condition for the existence of Q-points in betaN\N,     E. Coplakova, P.Vojtas    Topology and its Applications, Eger, Hungary, 1983, Colloq. Math. Soc. Bolyai 41, North Holland, Amsterdam, 1985, 199-208.  
• 1983    Game properties of Boolean algebras,     P. Vojtas    Comment. Math. Univ. Carolinae, 24.2 (1983) 349-369

1982

• 1982    A transfinite Boolean game and a generalization of Kripke's embedding theorem, P. Vojtas General Topology and its Relations to Modern Analysis and Algebra V, Proc. 5th Prague Topological Symposium 1981, J. Novák, Z. Frolí k eds., Helderman Verlag, Berlin, 1982, 663-668
• 1982    Simultaneous strategies and Boolean games of uncountable length,     P. Vojtas    Proc. 10th Winter School on Abstract Analysis 1982, Z. Frolík ed., Suppl. Rend. Circolo Mat. Palermo, Serie II, 2 (1982), 293-297

1981

• 1981    Refinement properties and extensions of filters in Boolean algebras    B Balcar, P Simon, P Vojtas    Trans. Amer. Math. Soc. 267.1 (1981) 265-283

1980

• 1980    Almost disjoint refinement of families of subsets of betaN    B Balcar, P Vojtas    Proc. Amer. Math. Soc., 79.3 (1980) 465-470
• 1980    Disjoint refinement and related topics    B Balcar, P Simon, P Vojtas    In Proc. 8th Winter School on Abstract Analysis, Math. Inst., Czechoslovak Acad. Sci., Prague, 1980,  16-25, also here, 
• 1980    Ramsey-type theorems,     M Gavalec, P Vojtas    In Proc. 8th Winter School on Abstract Analysis, Math. Inst., Czechoslovak Acad. Sci., Prague, 1980, 79--81,
• 1980    Refinement and properties and extending of filters,    B Balcar, P Simon, P Vojtas    Bull. Acad. Polon. Sci. S'er. Sci. Math., 28.11-12 (1980) 535-540
• 1980    Remarks to a modification of Ramsey-type theorems    M Gavalec, P Vojtáš    Comment. Math. Univ. Carolinae, 21.4 (1980) 727-738
• 1980    Zjemnovacie systémy na booleovských algebrách, P. Vojtas kand. dizert. práca, Karlova Univerzita, Praha, 1980, 1-91.(in Slovak, Refining systems on Boolean algebras, PhD thesis, Charles University)

1979

1978

1977

• 1977  Refining systems on Boolean algebras, B Balcar, P Vojtas    Set Theory and Hierarchy Theory V. A. Lachlan, M. Srebrny and A. Zarach eds., Lecture Notes in Math. 619, Springer Verlag, Berlin, 1977, 45-58, 

1976

1975

• 1975 RNDr. thesis,

1974

• 1974 Master Thesis

1973

•     1973    Tree algebras and distributivity    P Vojtas    Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday, presentation on tree algebras and their connections to distributivity of respective Boolean algebras