Download e-book for iPad: Algebraic Topology of Finite Topological Spaces and by Jonathan A. Barmak

By Jonathan A. Barmak

ISBN-10: 3642220029

ISBN-13: 9783642220029

This quantity offers with the idea of finite topological areas and its
relationship with the homotopy and straightforward homotopy idea 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 tools built during this manuscript are used to review Quillen's
conjecture at the poset of p-subgroups of a finite staff 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 really is intended
for topologists and combinatorialists, however it is usually instructed for
advanced undergraduate scholars and graduate scholars with a modest
knowledge of Algebraic Topology.

Show description

Read or Download Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics) PDF

Best combinatorics books

New PDF release: Combinatorial Methods with Computer Applications (Discrete

Combinatorial tools with desktop purposes presents in-depth insurance of recurrences, producing services, walls, and variations, besides the most attention-grabbing graph and community themes, layout structures, and finite geometries. Requiring just a starting place in discrete arithmetic, it may function the textbook in a combinatorial tools direction or in a mixed graph idea and combinatorics path.

Read e-book online The Math Problems Notebook PDF

This quantity bargains a suite of non-trivial, unconventional difficulties that require deep perception and mind's eye to unravel. They hide many issues, together with quantity conception, algebra, combinatorics, geometry and research. the issues begin as easy routines and develop into tougher because the reader progresses during the booklet to develop into difficult sufficient even for the skilled challenge solver.

Download PDF by Charles J. Colbourn: Algebraic Design Theory and Hadamard Matrices: ADTHM,

This quantity develops the intensity and breadth of the maths underlying the development and research of Hadamard matrices, and their use within the building of combinatorial designs. even as, it pursues present learn of their quite a few purposes in safeguard and cryptography, quantum details, and communications.

Download PDF by Rubén Vigara,Álvaro Lozano-Rojo: Representing 3-Manifolds by Filling Dehn Surfaces: 58

This booklet offers an creation to the gorgeous and deep topic of filling Dehn surfaces within the examine of topological 3-manifolds. This booklet offers, for the 1st time in English and with the entire info, the implications from the PhD thesis of the 1st writer, including a few newer ends up in the topic.

Additional info for Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics)

Example text

Download PDF sample

Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics) by Jonathan A. Barmak


by James
4.2

Rated 4.02 of 5 – based on 6 votes