Non-constant continuous maps of modifications of topological spaces

Věra Trnková; Miroslav Hušek

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 4, page 747-765
  • ISSN: 0010-2628

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Trnková, Věra, and Hušek, Miroslav. "Non-constant continuous maps of modifications of topological spaces." Commentationes Mathematicae Universitatis Carolinae 029.4 (1988): 747-765. <http://eudml.org/doc/17689>.

@article{Trnková1988,
author = {Trnková, Věra, Hušek, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {monoid of all continuous selfmaps of a topological space; family of all ncc (nonconstant continuous) selfmaps; ncc uniformly continuous selfmaps; ncc nonexpanding selfmaps; completely regular modification},
language = {eng},
number = {4},
pages = {747-765},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Non-constant continuous maps of modifications of topological spaces},
url = {http://eudml.org/doc/17689},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Trnková, Věra
AU - Hušek, Miroslav
TI - Non-constant continuous maps of modifications of topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 4
SP - 747
EP - 765
LA - eng
KW - monoid of all continuous selfmaps of a topological space; family of all ncc (nonconstant continuous) selfmaps; ncc uniformly continuous selfmaps; ncc nonexpanding selfmaps; completely regular modification
UR - http://eudml.org/doc/17689
ER -

References

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  2. H. COOK, Continua which admit only the identity mapping onto non-degenerate subcontinua, Fund. Math. 60 (1967), 241-249. (1967) Zbl0158.41503MR0220249
  3. R. ENGELKING, General Topology, Warszawa 1977. (1977) Zbl0373.54002MR0500780
  4. J. de GROOT, Groups represented by homeomorphism groups, Math. Annalen 138 (1959), 80-102. (1959) Zbl0087.37802MR0119193
  5. Z. HEDRLÍN., Non-constant continuous transformations form any semigroup with a unity, Nieuw Archief voor Wiskunde XIV (1966), 230-236. (1966) Zbl0147.22602MR0209373
  6. H. HERRLICH, Topologische Reflexionen und Coreflexionen, Lect. Notes Math. 78, Springer-Verlag, Berlin - Heidelberg - New York, 1968. (1968) Zbl0182.25302MR0256332
  7. V. KANNAN M. RAJAG0PALAN, Constructions and applications of rigid spaces II, Amer. J. Math. 100 (1979), 1139-1172. (1979) MR0522694
  8. C. KURATOWSKI, Topologie I, II, Monografie Matematyczne, Warsaw 1950. (1950) 
  9. A. PULTR V. TRNKOVÁ, Combinatorial, algebraic and topological representation of groups, semigroups and categories, North Holland Publ., 1980. (1980) MR0563525
  10. V. TRNKOVÁ, Non-constant continuous mappings of metric or compact Hausdorff spaces, Comment. Math. Univ. Carolinae 13 (1972), 283-295. (1972) MR0303486
  11. V. TRNKOVÁ, Simultaneous representation in discrete structures, Comment. Math. Univ. Carolinae 27 (1986), 633-649. (1986) MR0874657
  12. V. TRNKOVÁ, Simultaneous representations by metric spaces, to appear in Cahiers Topo. et Geom. Diff. MR0975374
  13. V. TRNKOVÁ, Nonconstant continuous maps of spaces and of their β -compactifications, to appear in Topology and its Appl. MR1020982

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