Borsuk presentations and the fixed-point index

DOI10.1016/0022-247X(80)90070-0zbMath0447.55002OpenAlexW2083606415MaRDI QIDQ1146412

Christian C. Fenske

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90070-0

zbMATH Keywords

fixed point indexmultivalued mappingLefschetz fixed point theoremcompact invariant setBorsuk presentationCech homology with rational coefficientsfundamental ANR

Mathematics Subject Classification ID

Degree, winding number (55M25) Fixed points and coincidences in algebraic topology (55M20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) ?ech types (55N05) Shape theory in general topology (54C56)

Related Items (1)

A fixed point index for maps with Borsuk-presentable fixed point set

Cites Work

• Repulsive fixed points of multi-valued transformations and the fixed point index
• On fixed points of zero index in asymptotic fixed point theory
• A topological degree of locally A-proper maps
• Fundamental retracts and extensions of fundamental sequences
• The Topological Degree of A-Proper Maps
• On some contractible continua without fixed point property
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