The degree of multivalued maps from manifolds to spheres |
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Authors: | Yasuhiro Hara Yoshitomo Moriwaki |
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Institution: | 1. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan
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Abstract: | In this paper, for closed connected oriented manifolds M and N of the same dimension, we study the degree of a triple (??, p, q), where p is a Vietoris map from a compact space ?? to M and q is a continuous map from ?? to N. In particular, we have Borsuk?CUlam-type degree theorems on manifolds with involutions. |
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