By Jonathan A. Barmak

This quantity bargains with the idea of finite topological areas and its
relationship with the homotopy and easy homotopy concept 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 point of view. In particular,
the equipment built 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 can also be suggested for
advanced undergraduate scholars and graduate scholars with a modest
knowledge of Algebraic Topology.

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