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An Introduction to Homological Algebra (1979), Pure and Applied Mathematics, vol. 85, Academic Press; ISBN 0-12-599250-5 [7] An Introduction to Algebraic Topology (1988), Springer-Verlag; ISBN 0-387-96678-1; An Introduction to the Theory of Groups (1995), Springer-Verlag; ISBN 0-387-94285-8
It provides, in the classical setting of field theory, an alternative perspective to that of Emil Artin based on linear algebra, which became standard from about the 1930s. The approach of Alexander Grothendieck is concerned with the category-theoretic properties that characterise the categories of finite G -sets for a fixed profinite group G .
158 Dynamical Systems and Linear Algebra, Fritz Colonius, Wolfgang Kliemann (2014, ISBN 978-0-8218-8319-8) 159 The Role of Nonassociative Algebra in Projective Geometry, John R. Faulkner (2014, ISBN 978-1-4704-1849-6) 160 A Course in Analytic Number Theory, Marius Overholt (2014, ISBN 978-1-4704-1706-2)
A Concise Course in Algebraic Topology. University of Chicago Press. pp. 183–198. ISBN 0-226-51182-0. This textbook gives a detailed construction of the Thom class for trivial vector bundles, and also formulates the theorem in case of arbitrary vector bundles. Stong, Robert E. (1968). Notes on cobordism theory. Princeton University Press ...
Hatcher, A., Algebraic Topology, Cambridge University Press (2002) ISBN 0-521-79540-0. Detailed discussion of homology theories for simplicial complexes and manifolds, singular homology, etc. May JP (1999). A Concise Course in Algebraic Topology (PDF). University of Chicago Press. Archived (PDF) from the original on 2022-10-09
William Schumacher Massey (August 23, 1920 [1] – June 17, 2017) was an American mathematician, known for his work in algebraic topology. The Massey product is named for him. He worked also on the formulation of spectral sequences by means of exact couples, and wrote several textbooks, including A Basic Course in Algebraic Topology (ISBN 0-387 ...
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 .
Download QR code; Print/export Download as PDF; ... In mathematics, a topological algebra is an algebra ... ISBN 9780080871356. ...
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