𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Discrete subspaces of topological spaces, II

✍ Scribed by A Hajnal; I Juhász


Publisher
Elsevier Science
Year
1969
Weight
695 KB
Volume
72
Category
Article
ISSN
1385-7258

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Ordinal subspaces of topological spaces
✍ John Warren Baker 📂 Article 📅 1973 🏛 Elsevier Science ⚖ 871 KB

Let X denote a compact &spemd space with characteristic (~,n). .ks is we&known, the space I?(cY) consisting of the ordinals not excse&ng Q &h the htefvaf top(&)gy has ch;arwteristiz r&n) if and only if &a, < cy < (? l (n f-1). It seems natural to regard the xdir : spaces as "minimal"' dispersed spac

On discrete subspaces of product spaces
✍ A. Hajnal; I. Juhász 📂 Article 📅 1972 🏛 Elsevier Science ⚖ 837 KB

The aim of this paper is to evah#atc3 the spread Df B product with tile; 1lelp of &a spreads of its factors and their number. The main resu& says thai 3 finitely many 'I; spaces are such that none of them contains a discrete suuspace of power >P, then thek, ppuduct Cotis not mntain a discrete subspa

Free topological groups of spaces and th
✍ Ol'ga V. Sipacheva 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We prove that if X is a Tychonoff topological space, Y a subspace of X, and every bounded continuous pseudometric on Y can be extended to a continuous pseudometric on X, then the free topological group F M (Y ) coincides with the topological subgroup of F M (X) generated by Y . For this purpose, a n

Extensions of topological spaces with st
✍ P.J. Collins 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 186 KB

Alexandroff one-point compactification is extended to provide paracompact extensions of locally compact Hausdorff spaces with strongly-discrete remainder.