By Jonathan A. Barmak

ISBN-10: 3642220029

ISBN-13: 9783642220029

relationship with the homotopy and easy homotopy thought of polyhedra.

The interplay among their intrinsic combinatorial and topological

structures makes finite areas a great tool for learning difficulties in

Topology, Algebra and Geometry from a brand new viewpoint. In particular,

the tools constructed during this manuscript are used to check Quillen's

conjecture at the poset of p-subgroups of a finite workforce and the

Andrews-Curtis conjecture at the 3-deformability of contractible

two-dimensional complexes.

This self-contained paintings constitutes the 1st detailed

exposition at the algebraic topology of finite areas. it truly is intended

for topologists and combinatorialists, however it is usually steered for

advanced undergraduate scholars and graduate scholars with a modest

knowledge of Algebraic Topology.

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### Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics) by Jonathan A. Barmak

by Kenneth

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