Download E-books Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics) PDF

By Jonathan A. Barmak

This quantity offers with the idea of finite topological areas and its courting with the homotopy and straightforward homotopy conception of polyhedra. The interplay among their intrinsic combinatorial and topological constructions makes finite areas a great tool for learning difficulties in Topology, Algebra and Geometry from a brand new point of view. particularly, 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 designated exposition at the algebraic topology of finite areas. it really is meant for topologists and combinatorialists, however it is additionally urged for complicated undergraduate scholars and graduate scholars with a modest wisdom of Algebraic Topology.

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