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Diffeomorphism groups on noncompact manifolds

✍ Scribed by Jürgen Eichorn


Publisher
Springer US
Year
1999
Tongue
English
Weight
945 KB
Volume
94
Category
Article
ISSN
1573-8795

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Homotopy types of homeomorphism groups o
✍ Tatsuhiko Yagasaki 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 170 KB

Suppose M is a noncompact connected PL 2-manifold and let H(M) 0 denote the identity component of the homeomorphism group of M with the compact-open topology. In this paper we classify the homotopy type of H(M) 0 by showing that H(M) 0 has the homotopy type of the circle if M is the plane, an open o