The Lefschetz Fixed Point Theorem for Noncompact Locally Connected Spaces

DOI10.2307/1996103zbMath0256.55010OpenAlexW4254656362MaRDI QIDQ5671389

Ronald J. Knill

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996103

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Topology of infinite-dimensional manifolds (57N20) Local properties of generalized manifolds (57P05)

Cites Work

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• Leray-Schauder theory without local convexity
• The Poincaré duality in generalized manifolds
• Q-simplicial spaces
• A unified approach to local and global fixed point indices
• An fixed point theorem
• Homology groups of relations
• Retraction and extension of mappings of metric and nonmetric spaces
• Sur la forme des espaces topologiques et sur les points fixes des représentations
• Products of Quasi-Complexes
• Théorie des points fixes : indice total et nombre de Lefschetz
• Sur un continu acyclique qui se laisse transformer topologiquement en lui même sans points invariants
• Fixed Point Theorems on Infinite Dimensional Manifolds
• Cones, products and fixed points
• Challenging Conjectures
• On the semicomplexes of F. Browder
• On some contractible continua without fixed point property

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