# An approach to covering dimensions

Commentationes Mathematicae Universitatis Carolinae (1995)

- Volume: 36, Issue: 1, page 149-169
- ISSN: 0010-2628

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topKatětov, Miroslav. "An approach to covering dimensions." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 149-169. <http://eudml.org/doc/247716>.

@article{Katětov1995,

abstract = {Using certain ideas connected with the entropy theory, several kinds of dimensions are introduced for arbitrary topological spaces. Their properties are examined, in particular, for normal spaces and quasi-discrete ones. One of the considered dimensions coincides, on these spaces, with the Čech-Lebesgue dimension and the height dimension of posets, respectively.},

author = {Katětov, Miroslav},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {Čech-Lebesgue dimension; height dimension of posets; dyadic expansion; rigged finite open covers; partition dimension; Čech-Lebesgue dimension},

language = {eng},

number = {1},

pages = {149-169},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {An approach to covering dimensions},

url = {http://eudml.org/doc/247716},

volume = {36},

year = {1995},

}

TY - JOUR

AU - Katětov, Miroslav

TI - An approach to covering dimensions

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1995

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 36

IS - 1

SP - 149

EP - 169

AB - Using certain ideas connected with the entropy theory, several kinds of dimensions are introduced for arbitrary topological spaces. Their properties are examined, in particular, for normal spaces and quasi-discrete ones. One of the considered dimensions coincides, on these spaces, with the Čech-Lebesgue dimension and the height dimension of posets, respectively.

LA - eng

KW - Čech-Lebesgue dimension; height dimension of posets; dyadic expansion; rigged finite open covers; partition dimension; Čech-Lebesgue dimension

UR - http://eudml.org/doc/247716

ER -

## References

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