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Peano's theorem fails for infinite-dimensional Fréchet spaces

✍ Scribed by S. A. Shkarin


Publisher
Springer US
Year
1993
Tongue
English
Weight
244 KB
Volume
27
Category
Article
ISSN
0016-2663

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Toward a topological classification of c
✍ 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