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  2. 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 )

  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. Chern class - Wikipedia

    en.wikipedia.org/wiki/Chern_class

    The original approach to Chern classes was via algebraic topology: ... a Chern number of the vector bundle. For example, ... ISBN 978-3-662-02421-8. ...

  5. 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

  6. Graduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Texts_in_Mathematics

    Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild (1981, ISBN 978-1-4613-8116-7) Algebraic Geometry – An Introduction to Birational Geometry of Algebraic Varieties, Shigeru Iitaka (1982, ISBN 978-1-4613-8121-1) Lectures on the Theory of Algebraic Numbers, E. T. Hecke (1981, ISBN 978-0-387-90595-2)

  7. Arithmetic topology - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_topology

    Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. ... ISBN 978-1-4471-2157-2 ...

  8. Classifying space - Wikipedia

    en.wikipedia.org/wiki/Classifying_space

    An example of a classifying space is that when G is cyclic of order two; then BG is real projective space of infinite dimension, corresponding to the observation that EG can be taken as the contractible space resulting from removing the origin in an infinite-dimensional Hilbert space, with G acting via v going to −v, and allowing for homotopy ...

  9. 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 .