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- W1991088891 abstract "The Hopf extension theorem states that a map on the unit sphere in Rn is essential (i.e., each continuous extension to the unit ball has a zero) if and only if it has nonzero rotation (degree). We formulate and prove a corresponding result for coincidence points of condensing pairs of maps in infinite-dimensional spaces. To this end, a theory of coepi maps is introduced which in some sense is dual to the known theory of 0-epi maps. Also a uniqueness result for the coincidence index is obtained which provides a way to effectively calculate the index." @default.
- W1991088891 created "2016-06-24" @default.
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- W1991088891 date "2003-06-01" @default.
- W1991088891 modified "2023-09-23" @default.
- W1991088891 title "Coepi maps and generalizations of the Hopf extension theorem" @default.
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- W1991088891 doi "https://doi.org/10.1016/s0166-8641(02)00285-7" @default.
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