A fixed point theorem for smooth extension maps

DOI10.1186/1687-1812-2014-97zbMath1312.55003OpenAlexW2087327287WikidataQ59401246 ScholiaQ59401246MaRDI QIDQ2264174

Robert F. Brown, Sompong Dhompongsa, Nirattaya Khamsemanan, Catherine Lee

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-97

zbMATH Keywords

fixed point indexLefschetz numbersmooth mapextension of mapsLefschetz-Hopf theoremtransversal fixed point

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Extension of maps (54C20)

Related Items (2)

Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds

Cites Work

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• A relative Nielsen number
• A remark on the Lefschetz fixed point formula for differentiable maps
• The Lefschetz-Hopf theorem and axioms for the Lefschetz number
• An Interior Fixed Point Property of the Disc

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