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  2. Grothendieck's Galois theory - Wikipedia

    en.wikipedia.org/wiki/Grothendieck's_Galois_theory

    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 .

  3. Joseph J. Rotman - Wikipedia

    en.wikipedia.org/wiki/Joseph_J._Rotman

    His research interests lay in the area of algebra, involving abelian groups, modules, homological algebra, and combinatorics. [5] Rotman was the Managing Editor of the Proceedings of the American Mathematical Society in 1972–1973. [4] In 1985 he was the Annual Visiting Lecturer of the South African Mathematical Society. [6]

  4. Graduate Studies in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Studies_in...

    110 Differential Algebraic Topology: From Stratifolds to Exotic Spheres, Matthias Kreck (2010, ISBN 978-0-8218-4898-2) 111 Ricci Flow and the Sphere Theorem, Simon Brendle (2010, ISBN 978-0-8218-4938-5) 112 Optimal Control of Partial Differential Equations: Theory, Methods and Applications, Fredi Troltzsch (2010, ISBN 978-0-8218-4904-0)

  5. Ronald Brown (mathematician) - Wikipedia

    en.wikipedia.org/wiki/Ronald_Brown_(mathematician)

    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), [14] [15] Topology and Groupoids (2006) [16] and ...

  6. Thom space - Wikipedia

    en.wikipedia.org/wiki/Thom_space

    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 ...

  7. William S. Massey - Wikipedia

    en.wikipedia.org/wiki/William_S._Massey

    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 ...

  8. Products in algebraic topology - Wikipedia

    en.wikipedia.org/wiki/Products_in_algebraic_topology

    Differential graded algebra: the algebraic structure arising on the cochain level for the cup product; Poincaré duality: swaps some of these; Intersection theory: for a similar theory in algebraic geometry

  9. Éléments de mathématique - Wikipedia

    en.wikipedia.org/wiki/Éléments_de_mathématique

    However, in 2012 Bourbaki resumed publication of the Éléments with a revised and expanded edition of the eighth chapter of Algebra, the first of new books on algebraic topology (covering also material that had originally been planned as the eleventh chapter of the group's book on general topology) [11] and the two volumes of significantly ...

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