arXiv:math/0611156 Abstract

arXiv:math/0611156 [math.AT]Abstract References Reviews Resources

Minimal Finite Models

Jonathan Ariel Barmak, Elias Gabriel Minian

Published 2006-11-06Version 1

We characterize the smallest finite spaces with the same homotopy groups of the spheres. Similarly, we describe the minimal finite models of any finite graph. We also develop new combinatorial techniques based on finite spaces to study classical invariants of general topological spaces.

Comments: 13 pages

Categories: math.AT

Subjects: 55P10, 55P15, 18B35, 18G30

Keywords: minimal finite models, smallest finite spaces, homotopy groups, finite graph, combinatorial techniques

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