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o-Boundedness of free topological groups

✍ Scribed by Taras Banakh; Dušan Repovš; Lyubomyr Zdomskyy


Book ID
108286635
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
326 KB
Volume
157
Category
Article
ISSN
0166-8641

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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