The Euler characteristic is the unique locally determined numerical homotopy invariant of finite complexes

DOI10.1007/BF02187824zbMath0744.57015MaRDI QIDQ1186082

Norman Levitt

Publication date: 28 June 1992

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131180

zbMATH Keywords

local formulafinite simplicial complexEuler Characteristicnumerical homotopy invariant

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

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Cites Work

• Spectral geometry of singular Riemannian spaces
• Grassmannians and Gauss maps in piecewise-linear topology
• Classification problems in differential topology. IV: Thickenings
• A combinatorial formula for the Pontrjagin classes
• The Existence of Combinatorial Formulae for Characteristic Classes
• A Combinatorial Analogue of Poincaré's Duality Theorem
• Arithmetic Invariants of Subdivision of Complexes