Geodesic
Short proofs of two theorems in topology
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 539-541

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR   Zbl

We present short and elementary proofs of the following two known theorems in General Topology: (i) [H. Wicke and J. Worrell] A $T_1$ weakly $\delta \theta $-refinable countably compact space is compact. (ii) [A. Ostaszewski] A compact Hausdorff space which is a countable union of metrizable spaces is sequential.
We present short and elementary proofs of the following two known theorems in General Topology: (i) [H. Wicke and J. Worrell] A $T_1$ weakly $\delta \theta $-refinable countably compact space is compact. (ii) [A. Ostaszewski] A compact Hausdorff space which is a countable union of metrizable spaces is sequential.
Classification : 54D20, 54D30, 54D55
Keywords: countably compact; initially $\kappa $-compact; weakly $\delta \theta $-refinable; $\kappa $-refinable; sequential 
Ismail, M.; Szymański, A. Short proofs of two theorems in topology. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 539-541. http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a15/
@article{CMUC_1993_34_3_a15,
     author = {Ismail, M. and Szyma\'nski, A.},
     title = {Short proofs of two theorems in topology},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {539--541},
     year = {1993},
     volume = {34},
     number = {3},
     mrnumber = {1243085},
     zbl = {0780.54023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a15/}
}
TY  - JOUR
AU  - Ismail, M.
AU  - Szymański, A.
TI  - Short proofs of two theorems in topology
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1993
SP  - 539
EP  - 541
VL  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a15/
LA  - en
ID  - CMUC_1993_34_3_a15
ER  - 
%0 Journal Article
%A Ismail, M.
%A Szymański, A.
%T Short proofs of two theorems in topology
%J Commentationes Mathematicae Universitatis Carolinae
%D 1993
%P 539-541
%V 34
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a15/
%G en
%F CMUC_1993_34_3_a15