User:Bci2/Subpage/BooksNotable

Notable Algebraic Topologists v.2, p.229, Edited by Bci2

 * Algebraic Topology
 * Algebraic topology
 * Topology
 * Glossary of topology


 * Algebraic Topologists


 * Frank Adams
 * Michael Atiyah(Sir Michael Francis Atiyah, OM, FRS, FRSE)
 * Ronald Brown (mathematician)
 * Karol Borsuk
 * Luitzen Egbertus Jan Brouwer
 * William Browder
 * Nicolas Bourbaki
 * Henri Cartan
 * Samuel Eilenberg
 * Peter Freyd
 * Mikhail Gromov
 * Alexander Grothendieck
 * Heinz Hopf
 * Michael J. Hopkins
 * Witold Hurewicz
 * Maxim Kontsevich
 * Otto Hermann Künneth
 * Saunders Mac Lane
 * J.P. May
 * John Coleman Moore
 * Sergei Petrovich Novikov
 * Daniel Quillen
 * Jean-Pierre Serre
 * Dennis Sullivan
 * René Thom
 * Hassler Whitney
 * J. H. C. Whitehead


 * Important Theorems in Algebraic Topology
 * Borsuk-Ulam theorem
 * Brouwer fixed point theorem
 * Cellular approximation theorem
 * Eilenberg–Zilber theorem
 * Hurewicz theorem
 * Kunneth theorem
 * Poincaré duality theorem
 * Universal coefficient theorem
 * Van Kampen's theorem
 * Whitehead's theorem


 * Important publications in algebraic topology
 * List of publications in mathematics


 * See also:
 * Higher dimensional algebra
 * Higher category theory
 * Van Kampen's theorem
 * Groupoid
 * Lie groupoid
 * Lie algebroid
 * Grothendieck topology
 * Serre spectral sequence
 * Sheaf
 * Homotopy theory
 * Fundamental group
 * Fundamental groupoid
 * Homology theory
 * Homological algebra
 * Cohomology theory
 * K-theory
 * Algebraic K-theory
 * TQFT
 * Homotopy quantum field theory(HQFT)


 * References cited


 * [Generalized van Kampen's theorems


 * . A modern, geometrically flavored introduction to algebraic topology.
 * R. Brown and A. Razak, ``A van Kampen theorem for unions of non-connected spaces'', Archiv. Math. 42 (1984) 85-88.
 * [[P.J. Higgins, Categories and groupoids (1971) Van Nostrand-Reinhold.]
 * [[Ronald Brown, Higher dimensional group theory (2007) (Gives a broad view of higher dimensional van Kampen theorems involving multiple groupoids).]]
 * E. R. van Kampen. On the connection between the fundamental groups of some related spaces. American Journal of Mathematics, vol. 55 (1933), pp. 261–267.
 * [[Ronald Brown, Higgins, P. J. and R. Sivera. 2007, vol. 1 Non-Abelian Algebraic Topology: filtered spaces, crossed complexes, cubical higher homotopy groupoids; downloadable PDF:]
 * E. R. van Kampen. On the connection between the fundamental groups of some related spaces. American Journal of Mathematics, vol. 55 (1933), pp. 261–267.
 * [[Ronald Brown, Higgins, P. J. and R. Sivera. 2007, vol. 1 Non-Abelian Algebraic Topology: filtered spaces, crossed complexes, cubical higher homotopy groupoids; downloadable PDF:]


 * Ronald Brown R, K. Hardie, H. Kamps, T. Porter T.: The homotopy double groupoid of a Hausdorff space., Theory Appl. Categories, 10:71–-93 (2002).
 * Ronald Brown R, K. Hardie, H. Kamps, T. Porter T.: The homotopy double groupoid of a Hausdorff space., Theory Appl. Categories, 10:71–-93 (2002).
 * Ronald Brown R, K. Hardie, H. Kamps, T. Porter T.: The homotopy double groupoid of a Hausdorff space., Theory Appl. Categories, 10:71–-93 (2002).


 * [[Dylan G.L. Allegretti, Simplicial Sets and van Kampen's Theorem (Discusses generalized versions of van Kampen's theorem applied to topological spaces and simplicial sets).]]
 * Important publications in algebraic topology
 * Higher homotopy, generalized van Kampen's theorem ]]
 * http://en.wikipedia.org/wiki/User:Bci2/Books/Algebraic_Topology GNUL Textbook on Algebraic Topology vol.1]


 * Bibliography