# On the subsets of non locally compact points of ultracomplete spaces

Commentationes Mathematicae Universitatis Carolinae (2002)

- Volume: 43, Issue: 4, page 707-721
- ISSN: 0010-2628

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topYoshioka, Iwao. "On the subsets of non locally compact points of ultracomplete spaces." Commentationes Mathematicae Universitatis Carolinae 43.4 (2002): 707-721. <http://eudml.org/doc/248984>.

@article{Yoshioka2002,

abstract = {In 1998, S. Romaguera [13] introduced the notion of cofinally Čech-complete spaces equivalent to spaces which we later called ultracomplete spaces. We define the subset of points of a space $X$ at which $X$ is not locally compact and call it an nlc set. In 1999, Garc’ıa-Máynez and S. Romaguera [6] proved that every cofinally Čech-complete space has a bounded nlc set. In 2001, D. Buhagiar [1] proved that every ultracomplete GO-space has a compact nlc set. In this paper, ultracomplete spaces which have compact nlc sets are studied. Such spaces contain dense locally compact subspaces and coincide with ultracomplete spaces in the realms of normal $\gamma $-spaces or ks-spaces.},

author = {Yoshioka, Iwao},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {locally compact; ultracomplete; Čech-complete; countable character; bounded set; locally compact; ultracomplete; Čech-complete},

language = {eng},

number = {4},

pages = {707-721},

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

title = {On the subsets of non locally compact points of ultracomplete spaces},

url = {http://eudml.org/doc/248984},

volume = {43},

year = {2002},

}

TY - JOUR

AU - Yoshioka, Iwao

TI - On the subsets of non locally compact points of ultracomplete spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2002

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

VL - 43

IS - 4

SP - 707

EP - 721

AB - In 1998, S. Romaguera [13] introduced the notion of cofinally Čech-complete spaces equivalent to spaces which we later called ultracomplete spaces. We define the subset of points of a space $X$ at which $X$ is not locally compact and call it an nlc set. In 1999, Garc’ıa-Máynez and S. Romaguera [6] proved that every cofinally Čech-complete space has a bounded nlc set. In 2001, D. Buhagiar [1] proved that every ultracomplete GO-space has a compact nlc set. In this paper, ultracomplete spaces which have compact nlc sets are studied. Such spaces contain dense locally compact subspaces and coincide with ultracomplete spaces in the realms of normal $\gamma $-spaces or ks-spaces.

LA - eng

KW - locally compact; ultracomplete; Čech-complete; countable character; bounded set; locally compact; ultracomplete; Čech-complete

UR - http://eudml.org/doc/248984

ER -

## References

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