By Jonathan A. Barmak
relationship with the homotopy and easy homotopy thought of polyhedra.
The interplay among their intrinsic combinatorial and topological
structures makes finite areas a useful gizmo 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 team and the
Andrews-Curtis conjecture at the 3-deformability of contractible
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 can also be steered for
advanced undergraduate scholars and graduate scholars with a modest
knowledge of Algebraic Topology.
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Extra resources for Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics)
Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics) by Jonathan A. Barmak