Hausdorff and $H$-compact are not complimentary
نویسندگان
چکیده
منابع مشابه
Countable Compact Hausdorff Spaces Need Not Be Metrizable in Zf
We show that the existence of a countable, first countable, zerodimensional, compact Hausdorff space which is not second countable, hence not metrizable, is consistent with ZF. 1. Notation and terminology Definition 1.1. Let (X,T ) be a topological space and B a base for T . (i) X is said to be compact if every open cover U of X has a finite subcover V . X is said to be compact with respect to ...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1977
ISSN: 0035-7596
DOI: 10.1216/rmj-1977-7-1-123