Self-coincidence numbers and the fundamental group
نویسندگان
چکیده
منابع مشابه
Self Coincidence Numbers and the Fundamental Group
For M and N closed oriented connected smooth manifolds of the same dimension, we consider the mapping space Map(M, N ; f) of continuous maps homotopic to f : M → N . We will show that the evaluation map from the space of maps to the manifold N induces a nontrivial homomorphism on the fundamental group only if the self coincidence number of f , denoted Λf,f , equals zero. Since Λf,f is equal to ...
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The Fundamental Group
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ژورنال
عنوان ژورنال: Journal of Fixed Point Theory and Applications
سال: 2007
ISSN: 1661-7738,1661-7746
DOI: 10.1007/s11784-007-0025-6