nLab L. Gaunce Lewis, Jr.

• webpage

Selected writings

On compactly generated topological spaces:

• Gaunce Lewis, Compactly generated spaces (pdf), appendix A of The Stable Category and Generalized Thom Spectra PhD thesis Chicago, 1978

On stabilization and simplicial topological spaces:

• L. Gaunce Lewis, Jr., When is the natural map $X \to \Omega \Sigma X$ a cofibration? , Trans. Amer. Math. Soc. 273 (1982), 147–155.

On equivariant stable homotopy theory:

• L. Gaunce Lewis, Peter May, Mark Steinberger (with contributions by J.E. McClure), Equivariant stable homotopy theory, Springer Lecture Notes in Mathematics 1213 (1986) [pdf, doi:10.1007/BFb0075778]

On Eilenberg-MacLane objects and Seifert-van Kampen theorem in equivariant homotopy theory:

• L. Gaunce Lewis, Jr., Equivariant Eilenberg-MacLane spaces and the equivariant Seifert-van Kampen suspension theorems, Topology Appl., 48 (1992), no. 1, pp. 25–61.

On equivariant stable homotopy theory:

• L. Gaunce Lewis, Jr., section 10 of Splitting theorems for certain equivariant spectra, Memoirs of the AMS, number 686, March 2000, Volume 144 (pdf)

On the Picard group of equivariant stable homotopy theory and the notion of RO(G)-grading:

• Halvard Fausk, L. Gaunce Lewis, Peter May, The Picard group of equivariant stable homotopy theory, Advances in Mathematics Volume 163, Issue 1, 15 October 2001, Pages 17–33 (pdf)

On cases where $\mathbb{Z}/p$-equivariant Bredon cohomology groups are free modules over the Bredon cohomology of the point:

• Kevin K. Ferland, L. Gaunce Lewis, Jr., The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb{Z}/p$, Memoirs of the AMS 167 (2004) [ams:memo-167-794, 978-ISBN:1-4704-0392-8]

Related entries

• compactly generated topological space

• nice simplicial topological space

• equivariant stable homotopy theory

• fixed point spectrum

category: people