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Rourke, C. P. (Colin Patrick), 1943- and Sanderson, B. J. (Brian Joseph), 1939-. (2000) Equivariant configuration spaces. Journal of the London Mathematical Society, Vol.62 (No.2). pp. 544-552. ISSN 0024-6107
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Official URL: http://dx.doi.org/10.1112/S0024610700001241
Abstract
The compression theorem is used to prove results for equivariant configuration spaces that are analogous to the well-known non-equivariant results of May, Milgram and Segal.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Homotopy equivalences, Loop spaces, Infinite loop spaces, Mannifolds (Mathematics), Algebraic topology |
| Journal or Publication Title: | Journal of the London Mathematical Society |
| Publisher: | Cambridge University Press |
| ISSN: | 0024-6107 |
| Date: | October 2000 |
| Volume: | Vol.62 |
| Number: | No.2 |
| Page Range: | pp. 544-552 |
| Identification Number: | 10.1112/S0024610700001241 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Open Access |
| References: | 1. S. Araki and M. Murayama, `G-homotopy types of G-complexes and representations of Gcohomology theories ', Publ. Res. Inst. Math. Sci. 14 (1978) 203±222. 2. H. Hauschild, A Xquafiariante KonfigurationsraXume und AbbildungsraXume, Lecture Notes in Mathematics 788 (Springer, 1979) 281±315. 3. U. Koschorke and B. Sanderson, ` Self-intersections and higher Hopf invariants ', Topology 17 (1978) 283±290. 4. J. P. May, The geometry of iterated loop spaces, Lecture Notes in Mathematics 271 (Springer, 1972). 5. D. McDuff, `Configuration spaces of positive and negative particles ', Topology 14 (1975) 91±107. 6. R. J. Milgram, `Iterated loop spaces', Annals of Math. 84 (1966) 386±403. 7. C. Rourke and B. Sanderson, `The compression theorem', preprint, http:}}xxx.lanl.gov}abs}math.GT}9712235. 8. G. Segal, `Configuration spaces and iterated loop spaces', Infient. Math. 21 (1973) 213±221. 9. G. Segal, `Some results in equivariant homotopy theory', preprint, 1979, http:}}www.maths.warwick.ac.uk} 4bjs}segal.html 10. S. Waner, `Equivariant homotopy theory and Milnor's theorem', Trans. Amer. Math. Soc. 258 (1980) 351±368. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/828 |
Data sourced from Thomson Reuters' Web of Knowledge
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