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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Immersions of semianalytic spaces

Author: G. S. Wells
Journal: Proc. Amer. Math. Soc. 72 (1978), 556-560
MSC: Primary 57R40; Secondary 58D10
MathSciNet review: 509254
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Abstract: It is proved that $ d:{\text{Imm}}(V,M) \to L$ is a weak homotopy equivalence, where $ {\text{Imm}}(V,M)$ denotes the space of smooth immersions of a compact semianalytic space V into a manifold M, L denotes the space of continuous bundle maps, linear and injective on each fibre, from the Zariski tangent bundle of V to the tangent bundle of M, and d is the differential. This generalizes the Haefliger-Poenaru-Hirsch-Smale immersion theory for compact manifolds.

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Article copyright: © Copyright 1978 American Mathematical Society

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