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  2. Joseph J. Rotman - Wikipedia

    en.wikipedia.org/wiki/Joseph_J._Rotman

    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

  3. Universal coefficient theorem - Wikipedia

    en.wikipedia.org/wiki/Universal_coefficient_theorem

    Allen Hatcher, Algebraic Topology, Cambridge University Press, Cambridge, 2002. ISBN 0-521-79540-0. A modern, geometrically flavored introduction to algebraic topology. The book is available free in PDF and PostScript formats on the author's homepage. Kainen, P. C. (1971). "Weak Adjoint Functors". Mathematische Zeitschrift. 122: 1– 9.

  4. Undergraduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Undergraduate_Texts_in...

    The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...

  5. Graduate Studies in Mathematics - Wikipedia

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

    24 Number Theory: Algebraic Numbers and Functions, Helmut Koch (2000, ISBN 978-0-8218-2054-4) 25 Dirac Operators in Riemannian Geometry , Thomas Friedrich (2000, ISBN 978-0-8218-2055-1 ) 26 An Introduction to Symplectic Geometry , Rolf Berndt (2001, ISBN 978-0-8218-2056-8 )

  6. Algebraic topology - Wikipedia

    en.wikipedia.org/wiki/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. Although algebraic topology primarily uses algebra to study topological ...

  7. Characteristic class - Wikipedia

    en.wikipedia.org/wiki/Characteristic_class

    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.

  8. List of topologies - Wikipedia

    en.wikipedia.org/wiki/List_of_topologies

    The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property.

  9. List of algebraic topology topics - Wikipedia

    en.wikipedia.org/wiki/List_of_algebraic_topology...

    Download QR code; Print/export ... Chain (algebraic topology) Betti number; Euler characteristic. ... Directed algebraic topology; Applied topology. Example: DE-9IM.