On the Brouwer fixed point theorem

DOI10.1016/S0166-8641(01)00035-9zbMath0985.55003MaRDI QIDQ5960420

Dariusz Miklaszewski

Publication date: 7 April 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Algebraic topology of manifolds (57N65)

Cites Work

• Induced homology homomorphisms for set-valued maps
• Hurewicz fiber maps with ANR fibers
• Deformations of spaces of imbeddings
• A fixed point theorem for upper semi-continuous transformations on n- cells for which the images of points are non-acyclic continua
• Approximating homotopy equivalences of surfaces by homeomorphisms
• Completely regular mappings
• A fixed point index for bimaps
• Spherical maps
• Approximating homotopy equivalences of 3-manifolds by homeomorphisms
• Approximating Homotopy Equivalences by Homeomorphisms
• Homotoping ɛ-Maps to Homeomorphisms
• Fixed Point Theorems for Multi-Valued Transformations
• On some metrizations of the hyperspace of compact sets
• Set-valued analysis
• Locally flat imbeddings of topological manifolds
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