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Coincidence points of maps of $\mathbb Z_p^n$-spaces

A. Yu. Volovikov


Abstract: We study the set of coincidence points of single-valued and multivalued maps from $\mathbb Z_p^n$-spaces to polyhedra and compact spaces and estimate the dimension of this set. We prove the Cohen–Lusk conjecture for maps to Euclidean spaces provided that the number of coincidences is different from 3.

MSC: 55M20, 55M35, 54H25, 58C30, 54C60

Received: 25.12.2003

DOI: 10.4213/im655

 English version: Izvestiya: Mathematics, 2005, 69:5, 913–962

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