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2011 Relative fixed point theory
Kate Ponto
Algebr. Geom. Topol. 11(2): 839-886 (2011). DOI: 10.2140/agt.2011.11.839

Abstract

The Lefschetz fixed point theorem and its converse have many generalizations. One of these generalizations is to endomorphisms of a space relative to a fixed subspace. In this paper we define relative Lefschetz numbers and Reidemeister traces using traces in bicategories with shadows. We use the functoriality of this trace to identify different forms of these invariants and to prove a relative Lefschetz fixed point theorem and its converse.

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Kate Ponto. "Relative fixed point theory." Algebr. Geom. Topol. 11 (2) 839 - 886, 2011. https://doi.org/10.2140/agt.2011.11.839

Information

Received: 1 November 2009; Revised: 2 December 2010; Accepted: 12 December 2010; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1218.55001
MathSciNet: MR2782545
Digital Object Identifier: 10.2140/agt.2011.11.839

Subjects:
Primary: ‎55M20
Secondary: 18D05, 55P25

Rights: Copyright © 2011 Mathematical Sciences Publishers

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Vol.11 • No. 2 • 2011
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