Construction of sphere maps with given degrees and a new proof of Morse index formula

Details Construction of sphere maps with given degrees and a new proof of Morse index formula Construction of sphere maps with given degrees and a new proof of Morse index formula

2011-11-18

arxiv.org/abs/1111.4276v1

Mathematics

General Topology

9 pages. 0 figure

Scientific paper

This note presents a procedure of constructing a higher dimensional sphere
map from a lower dimensional one and gives an explicit formula for smooth
sphere map with a given degree. As an application a new proof of a generalized
Poincare-Hopf theorem called Morse index formula is also presented.

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