Equivariant completions

Michael Megrelishvili

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 3, page 539-547
  • ISSN: 0010-2628

Abstract

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An important consequence of a result of Katětov and Morita states that every metrizable space is contained in a complete metrizable space of the same dimension. We give an equivariant version of this fact in the case of a locally compact σ -compact acting group.

How to cite

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Megrelishvili, Michael. "Equivariant completions." Commentationes Mathematicae Universitatis Carolinae 35.3 (1994): 539-547. <http://eudml.org/doc/247581>.

@article{Megrelishvili1994,
abstract = {An important consequence of a result of Katětov and Morita states that every metrizable space is contained in a complete metrizable space of the same dimension. We give an equivariant version of this fact in the case of a locally compact $\sigma $-compact acting group.},
author = {Megrelishvili, Michael},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {equivariant completion; factorization; dimension; dimension},
language = {eng},
number = {3},
pages = {539-547},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Equivariant completions},
url = {http://eudml.org/doc/247581},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Megrelishvili, Michael
TI - Equivariant completions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 3
SP - 539
EP - 547
AB - An important consequence of a result of Katětov and Morita states that every metrizable space is contained in a complete metrizable space of the same dimension. We give an equivariant version of this fact in the case of a locally compact $\sigma $-compact acting group.
LA - eng
KW - equivariant completion; factorization; dimension; dimension
UR - http://eudml.org/doc/247581
ER -

References

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  13. Megrelishvili M., Compactification and factorization in the category of G -spaces, Categorical Topology and its Relation to Analysis, Algebra and Combinatorics J. Adámek, S. MacLane World Scientific Singapore (1989), 220-237. (1989) MR1047903
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