Algebraic Topology of Finite Topological Spaces and Applications

• Main Author: Barmak, Jonathan A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Lecture Notes in Mathematics, 2032
• Subjects: Mathematics.; Algebra.; Ordered algebraic structures.; Convex geometry.; Discrete geometry.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Discrete mathematics.; Combinatorics.; Algebraic Topology.; Convex and Discrete Geometry.; Order, Lattices, Ordered Algebraic Structures.; Manifolds and Cell Complexes (incl. Diff.Topology).; Discrete Mathematics.

This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makes finite spaces a useful tool for studying problems in Topology, Algebra...