Short proofs of two theorems in topology
Ismail, Mohammad ; Szymański, Andrzej
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 539-541 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1993-01-01
Classification:  54D20,  54D30,  54D55 
@article{118610,
     author = {Mohammad Ismail and Andrzej Szyma\'nski},
     title = {Short proofs of two theorems in topology},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {539-541},
     zbl = {0780.54023},
     mrnumber = {1243085},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118610}
}

Ismail, Mohammad; Szymański, Andrzej. Short proofs of two theorems in topology. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 539-541. http://gdmltest.u-ga.fr/item/118610/

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