Realizations of topologies and closure operators by set systems and by neighbourhoods

Horst Herrlich

Archivum Mathematicum (1989)

  • Volume: 025, Issue: 1-2, page 83-87
  • ISSN: 0044-8753

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Herrlich, Horst. "Realizations of topologies and closure operators by set systems and by neighbourhoods." Archivum Mathematicum 025.1-2 (1989): 83-87. <http://eudml.org/doc/18261>.

@article{Herrlich1989,
author = {Herrlich, Horst},
journal = {Archivum Mathematicum},
keywords = {closure spaces; neighbourhood spaces},
language = {eng},
number = {1-2},
pages = {83-87},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Realizations of topologies and closure operators by set systems and by neighbourhoods},
url = {http://eudml.org/doc/18261},
volume = {025},
year = {1989},
}

TY - JOUR
AU - Herrlich, Horst
TI - Realizations of topologies and closure operators by set systems and by neighbourhoods
JO - Archivum Mathematicum
PY - 1989
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 025
IS - 1-2
SP - 83
EP - 87
LA - eng
KW - closure spaces; neighbourhood spaces
UR - http://eudml.org/doc/18261
ER -

References

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  1. J. Adámek, Theory of Mathematical Structures, D. Reidel, Dordrecht, 1983. (1983) MR0735079
  2. J. Chvalina, Concerning a non-realizability of connected, compact semi-separated closure operations by set-systems, Arch. Math. (Brno) 12 (1976) 45-51. (1976) Zbl0356.54003MR0438266
  3. J. Chvalina, M. Sekanina, Realizations of closure spaces by set systems, Gen. Topol. Rel. Mod. Anal. Algebra III (Proc. III. Prague Top. Symp. 1971), Academia, Prague, 1972, 85-87. (1971) MR0355942
  4. V. Kannan, M. Rajagopalan, Constructions and applications of rigid spaces I, Advances Math. 29 (1978), 89-130. (1978) Zbl0403.54030MR0501093
  5. V. Koubek, Each concrete category has a representation by T 2 paracompact topological spaces, Comment. Math. Univ. Carolinae 15 (1975) 655-664. (1975) MR0354806
  6. A. Pultr, On selecting of morphisms among all mappings between underlying sets of objects in concrete categories and realizations of these, Comment. Math. Univ. Carolinae 8 (1967), 53-83. (1967) Zbl0166.27502MR0210764
  7. J. Rosický, Full embeddings with a given restriction, Comment. Math. Univ. Carolinae 14 (1973) 519-540. (1973) MR0327866
  8. J. Rosický, M. Sekanina, Realizations of topologies by set systems, Coll. Math. Soc. J. Bolyai, 8. Topics in Topology (Proc. Cong. Keszthely 1972), North Holland, New York, 1974, 535-555. (1972) MR0355945
  9. M. Sekanina, Embeddings of the category of partially ordered sets into the category of topological spaces, Fund. Math. 66 (1969/70) 95-98. (1969) MR0252284
  10. S. Švarc, Realizations of metrizable spaces by convergence structures, Knižnice odborných a vědeckých spisů VUT v Brně, svazek B-56 (1975) 95-99. (1975) MR0385777
  11. V. Trnková, Non-constant continuous mappings of metric or compact Hausdorff spaces, Comment. Math. Univ. Carolinae 13 (1972) 283-295. (1972) MR0303486

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