Geodesic
Some results on sequentially compact extensions
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 819-831 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The class of Hausdorff spaces (or of Tychonoff spaces) which admit a Hausdorff (respectively Tychonoff) sequentially compact extension has not been characterized. We give some new conditions, in particular, we prove that every Tychonoff locally sequentially compact space has a Tychonoff one-point sequentially compact extension. We also give some results about extension of functions and about lattice properties of the family of all minimal sequentially compact extensions of a given space.
The class of Hausdorff spaces (or of Tychonoff spaces) which admit a Hausdorff (respectively Tychonoff) sequentially compact extension has not been characterized. We give some new conditions, in particular, we prove that every Tychonoff locally sequentially compact space has a Tychonoff one-point sequentially compact extension. We also give some results about extension of functions and about lattice properties of the family of all minimal sequentially compact extensions of a given space.
Classification : 54C20, 54D35, 54D80
Keywords: sequentially compact extension; locally sequentially compact space; extension of functions 
@article{CMUC_1998_39_4_a16,
     author = {Vipera, M. Cristina},
     title = {Some results on sequentially compact extensions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {819--831},
     year = {1998},
     volume = {39},
     number = {4},
     mrnumber = {1715470},
     zbl = {1060.54507},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a16/}
}
TY  - JOUR
AU  - Vipera, M. Cristina
TI  - Some results on sequentially compact extensions
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1998
SP  - 819
EP  - 831
VL  - 39
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a16/
LA  - en
ID  - CMUC_1998_39_4_a16
ER  - 
%0 Journal Article
%A Vipera, M. Cristina
%T Some results on sequentially compact extensions
%J Commentationes Mathematicae Universitatis Carolinae
%D 1998
%P 819-831
%V 39
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a16/
%G en
%F CMUC_1998_39_4_a16
Vipera, M. Cristina. Some results on sequentially compact extensions. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 819-831. http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a16/