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Algebraic Topology of Finite Topological Spaces and Applications (Paperback, 2011 ed.)
Loot Price: R1,302
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Algebraic Topology of Finite Topological Spaces and Applications (Paperback, 2011 ed.)
Series: Lecture Notes in Mathematics, 2032
Expected to ship within 10 - 15 working days
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Total price: R1,322
Discovery Miles: 13 220
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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 and Geometry from a new
perspective. In particular, the methods developed in this
manuscript are used to study Quillen's conjecture on the poset of
p-subgroups of a finite group and the Andrews-Curtis conjecture on
the 3-deformability of contractible two-dimensional complexes. This
self-contained work constitutes the first detailed exposition on
the algebraic topology of finite spaces. It is intended for
topologists and combinatorialists, but it is also recommended for
advanced undergraduate students and graduate students with a modest
knowledge of Algebraic Topology.
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