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Attainable sets in infinite-dimensional spaces

✍ Scribed by Igor Kluvánek; Gregory Knowles

Publisher
Springer
Year
1973
Tongue
English
Weight
578 KB
Volume
7
Category
Article
ISSN
1433-0490

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Toward a topological classification of c
Toward a topological classification of convex sets in infinite-dimensional Fréchet spaces
✍ Taras Banakh 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 223 KB

Main Theorem: Let C be an infinite-dimensional convex set in a Fréchet space. If C has an almost internal point, then for every compact subset K of the completion Ten corollaries are derived from this theorem. Among them there are (1) conditions under which two convex sets with almost internal poin