General Topology I: Basic Concepts and Constructions Dimension Theory - Encyclopaedia of Mathematical Sciences - A V Arkhangel\'skii - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783642647673 - 2011. gada 18. septembris
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A V Arkhangel\'skii
General Topology I: Basic Concepts and Constructions Dimension Theory - Encyclopaedia of Mathematical Sciences Softcover reprint of the original 1st ed. 1990 edition

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Description for Sales People: First encyclopedia volume on topology, based on a highly successful Russian edition. The book is both nov- el enough to appeal to the professional mathematician and accessible enough for students to use as an introductory textbook. Table of Contents: I. The Basic Concepts and Constructions of General Topology.- II. The Fundamentals of Dimension Theory.- Author Index. Publisher Marketing: 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."

202 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2011. gada 18. septembris
ISBN13 9783642647673
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 202
Izmēri 155 × 235 × 11 mm   ·   308 g
Valoda Franču  
Tulks O'Shea, D.B.

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