nLab Stephen Halperin

• webpage at Maryland

• webpage at Toronto

Selected writings

On universal enveloping algebras and homology of loop spaces:

• Stephen Halperin, Universal enveloping algebras and loop space homology, Journal of Pure and Applied Algebra Volume 83, Issue 3, 11 December 1992, Pages 237-282 (doi:10.1016/0022-4049(92)90046-I)

On rational homotopy theory:

• Yves Félix, Stephen Halperin, Jean-Claude Thomas, Rational Homotopy Theory, Graduate Texts in Mathematics, 205, Springer-Verlag, 2000 (doi:10.1007/978-1-4613-0105-9)

• Yves Félix, Steve Halperin, Rational homotopy theory via Sullivan models: a survey, Notices of the International Congress of Chinese Mathematicians Volume 5 (2017) Number 2 (arXiv:1708.05245, doi:10.4310/ICCM.2017.v5.n2.a3)

On rational homotopy theory of non-nilpotent spaces via deck-Borel-equivariant rational homotopy theory of their universal covering spaces:

• Antonio Gómez-Tato, Stephen Halperin, Daniel Tanré: Rational homotopy theory for non-simply connected spaces, Trans. Amer. Math. Soc. 352 (2000) 1493–1525 [jstor:118074, doi:10.1090/S0002-9947-99-02463-0]

• Yves Félix, Steve Halperin, Jean-Claude Thomas, Rational Homotopy Theory II, World Scientific 2015 (doi:10.1142/9473)

On the cobar construction:

• Yves Felix, Stephen Halperin, Jean-Claude Thomas, Adams’ Cobar Equivalence, Transactions of the American Mathematical Society

  Vol. 329, No. 2 (1992), pp. 531-549 (jstor:2153950)

category: people