$\mathcal F$-epi maps

Jürgen Appell, Martin Väth, Alfonso Vignoli

DOI: http://dx.doi.org/10.12775/TMNA.2001.040

Abstract


The concept of $0$-epi maps is a known homotopic analogue to maps with
nonzero degree.
There exist various related notions on unbounded sets and for multivalued maps.
We introduce a concept which unifies these definitions.
We also compare the various concepts. In particular, we prove that proper
$0$-epi maps are also $0$-multiepi.

Keywords


Multi-valued map; zero-epi map; stably-solvable map; multiepi map; degree theory

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