General Topology I - Basic Concepts and Constructions Dimension Theory (Paperback, Softcover reprint of the original 1st ed. 1990)

General topology is the domain ofmathematics devoted to the investigation of the concepts of continuity and passage to a limit at their natural level of generality. The most basic concepts of general topology, that of a topological space and a continuous map, were introduced by Hausdorffin 1914. Oneofthecentralproblemsoftopologyisthedeterminationandinvestigation of topological invariants; that is, properties ofspaces which are preserved under homeomorphisms. Topological invariants need not be numbers. Connectedness, compactness, andmetrizability, forexample, arenon-numericaltopologicalinvariants.Dimen sional invariants, on the otherhand, areexamplesofnumericalinvariants which take integervalues on specific topological spaces. Part II ofthis book is devoted to them. Topological invariants which take values in the cardinal numbers play an especially important role, providing the raw material for many useful coin" putations. Weight, density, character, and Suslin number are invariants ofthis type. Certain classes of topological spaces are defined in terms of topological in variants. Particularly important examples include the metrizable spaces, spaces with a countable base, compact spaces, Tikhonov spaces, Polish spaces, Cech complete spaces and the symmetrizable spaces."

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Encyclopaedia of Mathematical Sciences, 17
Release date:	September 2011
First published:	1990
Translators:	D.B. O'Shea
Contributors:	A.V. Arkhangel'skii
Editors:	A.V. Arkhangel'skii
Contributors:	V. V Fedorchuk
Editors:	L.S. Pontryagin
Dimensions:	235 x 155 x 11mm (L x W x T)
Format:	Paperback
Pages:	202
Edition:	Softcover reprint of the original 1st ed. 1990
ISBN-13:	978-3-642-64767-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	3-642-64767-7
Barcode:	9783642647673

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