Displaying similar documents to “There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes”

Fixed point and homotopy result for mappings satisfying an implicit relation

I. Altun, D. Turkoglu (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.

There Are No Essential Phantom Mappings from 1-dimensional CW-complexes

Sibe Mardešić (2013)

Bulletin of the Polish Academy of Sciences. Mathematics

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A phantom mapping h from a space Z to a space Y is a mapping whose restrictions to compact subsets are homotopic to constant mappings. If the mapping h is not homotopic to a constant mapping, one speaks of an essential phantom mapping. The definition of (essential) phantom pairs of mappings is analogous. In the study of phantom mappings (phantom pairs of mappings), of primary interest is the case when Z and Y are CW-complexes. In a previous paper it was shown that there are no essential...