Foundations of Combinatorial Topology

9780486697550: Foundations of Combinatorial Topology

Hailed by The Mathematical Gazette as "an extremely valuable addition to the literature of algebraic topology," this concise but rigorous introductory treatment focuses on applications to dimension theory and fixed-point theorems. The lucid text examines complexes and their Betti groups, including Euclidean space, application to dimension theory, and decomposition into components; invariance of the Betti groups, with consideration of the cone construction and barycentric subdivisions of a complex; and continuous mappings and fixed points. Proofs are presented in a complete, careful, and elegant manner.
In addition to its value as a one-semester text for graduate-level courses, this volume can also be used as a reference in preparing for seminars or examinations and as a source of basic information on combinatorial topology. Although considerable mathematical maturity is required of readers, formal prerequisites are merely a few simple facts about functions of a real variable, matrices, and commutative groups.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

About the Author:

L. S. Pontryagin (1908–88) was a prominent Soviet mathematician who made important contributions to many fields, including topology and differential topology.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

(nessuna copia disponibile)


Inserisci un desiderata

Se non trovi il libro che cerchi su AbeBooks possiamo cercarlo per te automaticamente ad ogni aggiornamento del nostro sito. Se il libro è ancora reperibile da qualche parte, lo troveremo!

Inserisci un desiderata