Fixed point sets in digital topology, 2

Laurence Boxer

Abstract

We continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10]. We introduce freezing sets and cold sets to show how the existence of a fixed point set for a continuous self-map restricts the map on the complement of the fixed point set.

Keywords

digital topology; digital image; fixed point; reducible image; retract; wedge; tree

Subject classification

54H25

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References

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Universitat Politècnica de València

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