Samuel Carlos Gitler Hammer, Jewish Mexican mathermatician (Ciudad de Mexico 14 July 1933 – Ciudad de Mexico 09 September 2014)

Developed Modified Postnikov towers, a form of obstruction theory

With M. Mahowald. The geometric dimension of real stable vector bundle. Bol. Soc. Mat. Mex. 11:85-107, 1966

Defined exotic class and the first nontrivial exotic class of order 2

With J.D. Stasheff. The first exotic class of BF. Topology 4:257-66, 1965

With J. Adem & Y.K. Lam defined secondary operations

This papers is one of most relevant papers of algebraic topology in 20th Century in which appeared the Brown-Gitler spectra

With E.H. Brown Jr. A spectrum whose cohomology is a certain cyclic module over the Steenrod álgebra. Topology 12:285-93, 1973

Feder-Gitler theorem in stable homotopy types

With S. Feder. The classification of stunted projective spaces by stable homotopy types. Trans. Amer. Math. Soc. 225:59-81, 1977

Adem-Gitler theorems; Adem-Gitler operations

With J. Adem. Secondary characteristics classes and the immersion problem. Bol. Soc. Mat. Mexicana 8:53-78, 1963

With J. Adem. Non-immersion theorems for real projective Spaces. Bol. Soc. Mat. Mexicana 2(9):37-50, 1964

With J. Adem & M. Mahowald. Embedding and immersion of projective Spaces. Bol. Soc. Mat. Mex. 10:84-8, 1965

Defined the homology groups of a CW complex X as the homotopy groups of its infinite symmetric product SP (X)

With M. Aguilar & C. Prieto. Algebraic topology from a homotopical viewpoint (2002)

Bendersky-Gitler spectral sequence

With M. Bendersky. The cohomology of certain function spaces. Trans. Amer. Math. Soc. 326(1):423-40, 1991

With A. Bahri, M. Bendersky & F.R. Cohen. The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces. ARXIv (2013)

EPONYMY

Gitler-Mahowald method (1960s)

Cohen-Gitler theorem

Brown-Gitler spectra (1973)

Brown-Gitler modules

Brown-Gitler property

Gitler-Stasheff characteristic class