# Perfect pre-images of cofinally complete metric spaces

Adalberto García-Máynez; Salvador Romaguera

Commentationes Mathematicae Universitatis Carolinae (1999)

- Volume: 40, Issue: 2, page 335-342
- ISSN: 0010-2628

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topGarcía-Máynez, Adalberto, and Romaguera, Salvador. "Perfect pre-images of cofinally complete metric spaces." Commentationes Mathematicae Universitatis Carolinae 40.2 (1999): 335-342. <http://eudml.org/doc/248423>.

@article{García1999,

abstract = {We show that a Tychonoff space is the perfect pre-image of a cofinally complete metric space if and only if it is paracompact and cofinally Čech complete. Further properties of these spaces are discussed. In particular, cofinal Čech completeness is preserved both by perfect mappings and by continuous open mappings.},

author = {García-Máynez, Adalberto, Romaguera, Salvador},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {cofinally Čech complete; paracompact; cofinally complete metric space; perfect mapping; cofinally Čech complete space; paracompact space; perfect mapping},

language = {eng},

number = {2},

pages = {335-342},

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

title = {Perfect pre-images of cofinally complete metric spaces},

url = {http://eudml.org/doc/248423},

volume = {40},

year = {1999},

}

TY - JOUR

AU - García-Máynez, Adalberto

AU - Romaguera, Salvador

TI - Perfect pre-images of cofinally complete metric spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1999

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

VL - 40

IS - 2

SP - 335

EP - 342

AB - We show that a Tychonoff space is the perfect pre-image of a cofinally complete metric space if and only if it is paracompact and cofinally Čech complete. Further properties of these spaces are discussed. In particular, cofinal Čech completeness is preserved both by perfect mappings and by continuous open mappings.

LA - eng

KW - cofinally Čech complete; paracompact; cofinally complete metric space; perfect mapping; cofinally Čech complete space; paracompact space; perfect mapping

UR - http://eudml.org/doc/248423

ER -

## References

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