nLab Edgar Brown

Edgar H. Brown

(1926 - 2021)

• Wikipedia entry

• webpage

Selected writings

On Whitehead-generalized cohomology theories, homotopy theory (localization and homotopy categories) and proving the Brown representability theorem

• Edgar Brown, Cohomology theories, Annals of Mathematics, Second Series 75: 467–484 (1962) (jstor:1970209)

• Edgar Brown, Abstract homotopy theory, Trans. AMS 119 no. 1 (1965) (doi:10.1090/S0002-9947-1965-0182970-6)

On the integral cohomology of the classifying spaces of rotation groups:

• Edgar H. Brown, The Cohomology of $B SO_n$ and $BO_n$ with Integer Coefficients, Proceedings of the American Mathematical Society Vol. 85, No. 2 (Jun., 1982), pp. 283-288 (jstor:2044298)

On rational homotopy theory, the fundamental theorem of dg-algebraic rational homotopy theory and its generalization both to Borel-equivariant rational homotopy theory (for covering spaces of non-nilpotent spaces) and to real homotopy theory (using continuous real cohomology and topological dgc-algebras):

• Edgar Brown, Robert H. Szczarba, Real and Rational Homotopy Theory, Chapter 17 in: Handbook of Algebraic Topology, Elsevier, 1995 869-915 (doi:10.1016/B978-044481779-2/50018-3, ZB)

based on (including discussion of globally Kan fibrant topological simplicial groups):

• Edgar H. Brown, Robert H. Szczarba, Continuous cohomology and real homotopy type, Trans. Amer. Math. Soc. 311 (1989), no. 1, 57 (doi:10.1090/S0002-9947-1989-0929667-6, jstor:2001017)

• Edgar Brown, Robert H. Szczarba, Continuous cohomology and Real homotopy type II Asterisque 191, Societe Mathematique De France (1990) (numdam:AST_1990__191__45_0)

• Edgar Brown, Robert H. Szczarba, Real and rational homotopy theory for spaces with arbitrary fundamental group, Duke Mathematical Journal 71. (1993): 229-316 (doi:10.1215/S0012-7094-93-07111-6)

Related entries

• Brown representability theorem

• Brown-Peterson spectrum

• Brown-Gitler spectrum

• orthogonal group, special orthogonal group, SO(3)

category: people