# On half-completion and bicompletion of quasi-metric spaces

Elena Alemany; Salvador Romaguera

Commentationes Mathematicae Universitatis Carolinae (1996)

- Volume: 37, Issue: 4, page 749-756
- ISSN: 0010-2628

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topAlemany, Elena, and Romaguera, Salvador. "On half-completion and bicompletion of quasi-metric spaces." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 749-756. <http://eudml.org/doc/247902>.

@article{Alemany1996,

abstract = {We characterize the quasi-metric spaces which have a quasi-metric half-completion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable. We also characterize the quasi-metric spaces whose bicompletion is quasi-metric and it is shown that the bicompletion of each quasi-metric compatible with a quasi-metrizable space $X$ is quasi-metric if and only if $X$ is finite.},

author = {Alemany, Elena, Romaguera, Salvador},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {quasi-metric; quasi-uniform; half-completion; bicompletion; uniformly weakly regular; quasi-metric; quasi-uniform space; half-completion; bicompletion; uniformly weakly regular space},

language = {eng},

number = {4},

pages = {749-756},

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

title = {On half-completion and bicompletion of quasi-metric spaces},

url = {http://eudml.org/doc/247902},

volume = {37},

year = {1996},

}

TY - JOUR

AU - Alemany, Elena

AU - Romaguera, Salvador

TI - On half-completion and bicompletion of quasi-metric spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1996

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

VL - 37

IS - 4

SP - 749

EP - 756

AB - We characterize the quasi-metric spaces which have a quasi-metric half-completion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable. We also characterize the quasi-metric spaces whose bicompletion is quasi-metric and it is shown that the bicompletion of each quasi-metric compatible with a quasi-metrizable space $X$ is quasi-metric if and only if $X$ is finite.

LA - eng

KW - quasi-metric; quasi-uniform; half-completion; bicompletion; uniformly weakly regular; quasi-metric; quasi-uniform space; half-completion; bicompletion; uniformly weakly regular space

UR - http://eudml.org/doc/247902

ER -

## References

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