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

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#Algebraic topology
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
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:]
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).
Important publications in algebraic topology
Higher homotopy, generalized van Kampen's theorem[1]]]
[[ http://en.wikipedia.org/wiki/User:Bci2/Books/Algebraic_Topology GNUL Textbook on Algebraic Topology vol.1][2] ]]
Bibliography
  1. ^ R. Brown, K.A. Hardie, K.H. Kamps and T. Porter, A homotopy double groupoid of a Hausdorff space, Theory and Applications of Categories. 10 (2002) 71-93. http://www.emis.de/journals/TAC/volumes/14/9/14-09.pdf
  2. ^ I.C. Baianu et al. Algebraic Topology, Category Theory and Higher Dimensional Algebra (v.2 and 3.), 485 pages, June 17, 2009 Preprint. http://planetphysics.org/?op=getobj&from=books&id=266