One invariant of intrinsic shape

Nikita Shekutkovski; Aneta Velkoska

doi:10.2298/fil1510185s

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One invariant of intrinsic shape

Nikita Shekutkovski Aneta Velkoska

Year: 2015 Journal: Filomat Vol: 29 (10)Pages: 2185-2197 Publisher: University of Niš

DOI: 10.2298/fil1510185s

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Abstract

Based on the intrinsic definition of shape by functions continuous over a covering and corresponding homotopy we will define proximate fundamental group. We prove that proximate fundamental group is an invariant of pointed intrinsic shape of a space.

Keywords:

Mathematics Invariant (physics) Fundamental group Homotopy Pure mathematics Group (periodic table) Mathematical physics

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Advanced Numerical Analysis Techniques

Physical Sciences → Engineering → Computational Mechanics

Homotopy and Cohomology in Algebraic Topology

Physical Sciences → Mathematics → Mathematical Physics

Topological and Geometric Data Analysis

Physical Sciences → Computer Science → Computational Theory and Mathematics

One invariant of intrinsic shape

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