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In algebraic topology, several types of products are defined on homological and cohomological theories. The cross product () + The cap product ... (2002) ISBN 0-521 ...
One place to get the numbers is the Library of Congress catalog, although this will tend to give an American ISBN over, say, an Indian (see one of the National Depository Centres) or Australian (see National Library Australia) ISBN. For a Canadian number, you can use the Canadian ISBN Service System – CISS. If you are adding an ISBN, remember ...
The International Standard Book Number (ISBN) is a numeric commercial book identifier that is intended to be unique. [a] [b] Publishers purchase or receive ISBNs from an affiliate of the International ISBN Agency. [2] A different ISBN is assigned to each separate edition and variation of a publication, but not to a simple reprinting of an ...
Use this template to create a link (or list of links) to Special:BookSources for one or more International Standard Book Numbers with the usual "ISBN" prefix Template parameters [Edit template data] Parameter Description Type Status ISBN #1 1 first ISBN to put in the list Example 0-674-01181-3 String required ISBN #2 2 second ISBN to put in the list Example 0-674-04200-3 String suggested ISBN ...
A torus, one of the most frequently studied objects in algebraic topology. Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence.
ISBN 0-387-90422-0. ISBN 3-540-90422-0. The appendix of this book: "Geometry of characteristic classes" is a very neat and profound introduction to the development of the ideas of characteristic classes. Hatcher, Allen, Vector bundles & K-theory; Husemoller, Dale (1966). Fibre bundles (3rd Edition, Springer 1993 ed.). McGraw Hill. ISBN 0387940871.
Among his several books and standard topology and algebraic topology textbooks are: Elements of Modern Topology (1968), Low-Dimensional Topology (1979, co-edited with T.L. Thickstun), Topology: a geometric account of general topology, homotopy types, and the fundamental groupoid (1998), [15] [16] Topology and Groupoids (2006) [17] and ...
Besides the obvious need for algebra and topology, partial differential equations, [143] algebraic geometry, [41] representation theory, [54] statistics, combinatorics, and Riemannian geometry [76] have all found use in TDA. Quantitative analysis. Topology is considered to be very soft since many concepts are invariant under homotopy.