Regular Homotopy Classes of Singular Maps | Zendy

Juhász András | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Regular Homotopy Classes of Singular Maps

Author(s) -

Juhász András

Publication year - 2005

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/s0024611504015102

Subject(s) - mathematics , homotopy , pure mathematics , mathematics subject classification , manifold (fluid mechanics) , classifying space , space (punctuation) , class (philosophy) , immersion (mathematics) , combinatorics , mechanical engineering , linguistics , philosophy , artificial intelligence , computer science , engineering

Two locally generic maps f , g : M n R 2n − 1 are regularly homotopic if they lie in the same path‐component of the space of locally generic maps. Our main result is that if n ≠ 3 and M n is a closed n ‐manifold then the regular homotopy class of every locally generic map f : M n R 2n − 1 is completely determined by the number of its singular points provided that f is singular (that is, f is not an immersion). 2000 Mathematics Subject Classification 57R45, 58K30, 57R42.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research