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Fundamentals of General Topology - Problems and Exercises (Hardcover, 1984 ed.): A.V. Arkhangel'skii, V.I. Ponomarev Fundamentals of General Topology - Problems and Exercises (Hardcover, 1984 ed.)
A.V. Arkhangel'skii, V.I. Ponomarev
R4,675 Discovery Miles 46 750 Ships in 12 - 19 working days
Topological Function Spaces (Hardcover, 1992 ed.): A.V. Arkhangel'skii Topological Function Spaces (Hardcover, 1992 ed.)
A.V. Arkhangel'skii
R1,642 Discovery Miles 16 420 Ships in 10 - 15 working days

One service mathematics has rendered the 'Et moi, "0' si j'avait su oomment en revenir. human race. It has put common sense back je n'y serais point aile: ' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el: re of this series."

Topological Function Spaces (Paperback, Softcover reprint of the original 1st ed. 1992): A.V. Arkhangel'skii Topological Function Spaces (Paperback, Softcover reprint of the original 1st ed. 1992)
A.V. Arkhangel'skii
R1,499 Discovery Miles 14 990 Ships in 10 - 15 working days

One service mathematics has rendered the 'Et moi, "0' si j'avait su oomment en revenir. human race. It has put common sense back je n'y serais point aile: ' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el: re of this series."

General Topology I - Basic Concepts and Constructions Dimension Theory (Paperback, Softcover reprint of the original 1st ed.... General Topology I - Basic Concepts and Constructions Dimension Theory (Paperback, Softcover reprint of the original 1st ed. 1990)
D.B. O'Shea; Contributions by A.V. Arkhangel'skii; Edited by A.V. Arkhangel'skii; Contributions by V. V Fedorchuk; Edited by L.S. Pontryagin
R1,498 Discovery Miles 14 980 Ships in 10 - 15 working days

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."

Fundamentals of General Topology - Problems and Exercises (Paperback, New edition): A.V. Arkhangel'skii, V.I. Ponomarev Fundamentals of General Topology - Problems and Exercises (Paperback, New edition)
A.V. Arkhangel'skii, V.I. Ponomarev
R4,744 Discovery Miles 47 440 Ships in 10 - 15 working days
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