Tangential homotopy equivalences
Copyright policy )Tangential homotopy equivalences
Two (topological) manifolds M" and N" are called tangentially homotopy equivalent if there exists a homotopy equivalence f: (N, 3 N ) ~ (M, OM) such that f*(~'M) is stably equivalent to ~'N. Let O(m) denote the set of homeomorphisms types of manifolds which are tangentially homotopy equivalent to M. In this paper we study O(M). In particular we give estimates of its size for suitable classes of manifolds. Given any set S we use IS1 to denote its cardinality.
- DigiZeitschriften Germany
- Aarhus University Denmark
- University of Notre Dame United States
510.mathematics, stable tangent bundle, homeomorphism types of topological manifolds in a tangential homotopy class, Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)), Microbundles and block bundles, Surgery and handlebodies, Algebraic topology of manifolds, Article
510.mathematics, stable tangent bundle, homeomorphism types of topological manifolds in a tangential homotopy class, Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)), Microbundles and block bundles, Surgery and handlebodies, Algebraic topology of manifolds, Article
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