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τ-Completeness of topological groups

✍ Scribed by A. A. Borubaev; A. A. Chekeev


Publisher
Springer US
Year
1996
Tongue
English
Weight
527 KB
Volume
81
Category
Article
ISSN
1573-8795

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📜 SIMILAR VOLUMES


Weakly complete free topological groups
✍ Dikran Dikranjan; Michael Tkačenko 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 269 KB

A topological group G is sequentially complete if it is sequentially closed in any other topological group. We show that for a Tychonoff space X, the free topological group F (X) is sequentially complete iff the free Abelian topological group A(X) is sequentially complete iff X is sequentially close