Download Algebraic Topology of Finite Topological Spaces and by Jonathan A. Barmak PDF

By Jonathan A. Barmak

This quantity bargains with the idea of finite topological areas and its
relationship with the homotopy and straightforward homotopy conception 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 standpoint. In particular,
the equipment built during this manuscript are used to review Quillen's
conjecture at the poset of p-subgroups of a finite staff 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's intended
for topologists and combinatorialists, however it is additionally prompt for
advanced undergraduate scholars and graduate scholars with a modest
knowledge of Algebraic Topology.

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