Coepi maps and generalizations of the Hopf extension theorem.

DOI10.1016/S0166-8641(02)00285-7zbMath1034.47026WikidataQ57363459 ScholiaQ57363459MaRDI QIDQ1398192

Martin Väth

Publication date: 29 July 2003

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

zbMATH Keywords

Banach spacesVietoris mapdegree theorycoincidence indexHopf's theoremzero-epi mapscountably condensing operatorsCoepi mapsKryszewski-Górniewicz index

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Degree theory for nonlinear operators (47H11) Fixed points and coincidences in algebraic topology (55M20)

Related Items

Merging of degree and index theory, Some remarks on measures of noncompactness and retractions onto spheres, Global bifurcation of the \(p\)-Laplacian and related operators, The fixed point index for compact absorbing contractive admissible maps

Cites Work

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• \(\mathcal F\)-epi maps
• On embedding uniform and topological spaces
• Multivalued mappings
• Approximating compact sets in normed linear spaces
• On the solvability of nonlinear operator equations in normed spaces
• Fixed point index and chain approximations
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
• Shape theory. An introduction
• Approximation and fixed points for compositions of \(R_ \delta\)-maps
• Continuation method for contractive maps
• Fixed-point index for compositions of set-valued maps with proximally \(\infty\)-connected values on arbitrary ANR's
• Some homotopy classification and extension theorems for the class of compositions of acyclic set-valued maps
• The fixed-point index for the class of compositions of acyclic set-valued maps on ANR-s
• Fixed point theorems and fixed point index for countably condensing maps
• Multivalued analysis and operator inclusions
• TOPOLOGICAL METHODS IN THE FIXED-POINT THEORY OF MULTI-VALUED MAPS
• Coincidence Points of Function Pairs Based on Compactness Properties
• Vietoris-Begle Theorem and Spectra
• On the Kunneth Formula and Functorial Dependence in Algebraic Topology
• LIMIT-COMPACT AND CONDENSING OPERATORS
• An axiomatic approach to a coincidence index for noncompact function pairs
• On the connection of degree theory and 0-epi maps
• A characterization of 0-epi maps with a degree