Critical values of Fredholm maps-Reference-Cited by-同舟云学术

Critical values of Fredholm maps

Published:1988 Issue:3 Volume:104 Page:993-998
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Church P. T.,Timourian J. G.

Abstract

For a C r {C^r} Fredholm map A : X → Y A:X \to Y , let T k ( A ) {T_k}\left ( A \right ) be the set of x ∈ X x \in X such that codim Range D A ( x ) ≥ k DA\left ( x \right ) \geq k . The homotopy of Y − A ( T k ( A ) ) Y - A\left ( {{T_k}\left ( A \right )} \right ) is related to that of Y Y , examples are given, and a factorization result is proved.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-03/S0002-9939-1988-0964885-7/S0002-9939-1988-0964885-7.pdf

Reference22 articles.

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2. Counting topological manifolds;Cheeger, J.;Topology,1970

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4. Factorization of differentiable maps with branch set dimension at most 𝑛-3;Church, P. T.;Trans. Amer. Math. Soc.,1965

5. On points of Jacobian rank 𝑘;Church, P. T.;Trans. Amer. Math. Soc.,1964

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