Cardinal invariants and compactifications

Anatoly A. Gryzlov

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 2, page 403-408
  • ISSN: 0010-2628

Abstract

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We prove that every compact space X is a Čech-Stone compactification of a normal subspace of cardinality at most d ( X ) t ( X ) , and some facts about cardinal invariants of compact spaces.

How to cite

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Gryzlov, Anatoly A.. "Cardinal invariants and compactifications." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 403-408. <http://eudml.org/doc/247622>.

@article{Gryzlov1994,
abstract = {We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace of cardinality at most $d(X)^\{t(X)\}$, and some facts about cardinal invariants of compact spaces.},
author = {Gryzlov, Anatoly A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Čech-Stone compactification; cardinal invariants; Čech-Stone compactification; cardinal invariants},
language = {eng},
number = {2},
pages = {403-408},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Cardinal invariants and compactifications},
url = {http://eudml.org/doc/247622},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Gryzlov, Anatoly A.
TI - Cardinal invariants and compactifications
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 403
EP - 408
AB - We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace of cardinality at most $d(X)^{t(X)}$, and some facts about cardinal invariants of compact spaces.
LA - eng
KW - Čech-Stone compactification; cardinal invariants; Čech-Stone compactification; cardinal invariants
UR - http://eudml.org/doc/247622
ER -

References

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  1. Fedorchuk V.V., Vpolne zamknutye otobrazhenija, Matem. sbornik 99:1 (1976), 3-33. (1976) 
  2. Arhangelskii A.V., Stroenie i klassifikacija topologicheskich prostranstv i kardinalnye invarianty, Uspekhi mat. nauk 33:6 (1978), 29-84. (1978) MR0526012
  3. Pasynkov B.A., O teoreme E. Čecha, Vest. MGU 6 (1979), 54-57. (1979) MR0561409
  4. Gryzlov A.A., On cardinal invariants of compact spaces, Abstr. Baku Intern. Top. Conf., 1987, p. 89. 
  5. Šapirovskii B.E., O vlozhenii ekstremalno-normalnyh prostranstv v bikompakty, Dokl. Akad. Nauk SSSR 223:5 (1975), 1083-1086. (1975) MR0394609
  6. Šapirovskii B.E., O nasledstvenno normalnykh prostranstvah, Abstr. VII Vses. Top. Conf. Minsk, 1977, p. 204. 
  7. Arhangelskii A.V., O moschnosti bikompaktov s pervoi aksiomoi schetnosti, Dokl. Akad. Nauk SSSR 187 (1969), 967-970. (1969) MR0251695

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