Perfect pre-images of cofinally complete metric spaces
García-Máynez, Adalberto ; Romaguera, Salvador
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 335-342 / Harvested from Czech Digital Mathematics Library
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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 \v {C}ech complete. Further properties of these spaces are discussed. In particular, cofinal \v {C}ech completeness is preserved both by perfect mappings and by continuous open mappings.

Publié le : 1999-01-01
Classification:  54C10,  54D20,  54E50 
@article{119090,
     author = {Adalberto Garc\'\i a-M\'aynez and Salvador Romaguera},
     title = {Perfect pre-images of cofinally complete metric spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {335-342},
     zbl = {0976.54032},
     mrnumber = {1732655},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119090}
}

García-Máynez, Adalberto; Romaguera, Salvador. Perfect pre-images of cofinally complete metric spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 335-342. http://gdmltest.u-ga.fr/item/119090/

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