Volume 11, issue 5 (2011)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Real homotopy theory of semi-algebraic sets

Robert Hardt, Pascal Lambrechts, Victor Turchin and Ismar Volić

Algebraic & Geometric Topology 11 (2011) 2477–2545
Bibliography
1 J Bochnak, M Coste, M F Roy, Géométrie algébrique réelle, Ergebnisse der Math. und ihrer Grenzgebiete (3) 12, Springer (1987) MR949442
2 A K Bousfield, V K A M Gugenheim, On $\mathrm{PL}$ de Rham theory and rational homotopy type, Mem. Amer. Math. Soc. 8, no. 179 (1976) MR0425956
3 G Comte, J M Lion, J P Rolin, Nature log-analytique du volume des sous-analytiques, Illinois J. Math. 44 (2000) 884 MR1804313
4 P Deligne, P Griffiths, J Morgan, D Sullivan, Real homotopy theory of Kähler manifolds, Invent. Math. 29 (1975) 245 MR0382702
5 L van den Dries, Limit sets in o-minimal structures, from: "O-minimal structures, Proceedings of the RAAG Summer School (Lisbon 2003)" (editors M Edmundo, D Richardson, A J Wilkie), Lecture Notes in Real and Algebraic Geometry (2005) 159
6 H Federer, Geometric measure theory, Die Grund. der math. Wissenschaften 153, Springer (1969) MR0257325
7 Y Félix, S Halperin, J C Thomas, Rational homotopy theory, Graduate Texts in Math. 205, Springer (2001) MR1802847
8 F Guillén Santos, V Navarro, P Pascual, A Roig, Monoidal functors, acyclic models and chain operads, Canad. J. Math. 60 (2008) 348 MR2398753
9 R M Hardt, Slicing and intersection theory for chains associated with real analytic varieties, Acta Math. 129 (1972) 75 MR0315561
10 R M Hardt, Stratification of real analytic mappings and images, Invent. Math. 28 (1975) 193 MR0372237
11 R M Hardt, Topological properties of subanalytic sets, Trans. Amer. Math. Soc. 211 (1975) 57 MR0379882
12 R M Hardt, Semi-algebraic local-triviality in semi-algebraic mappings, Amer. J. Math. 102 (1980) 291 MR564475
13 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
14 H Hironaka, Triangulations of algebraic sets, from: "Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974)" (editor R Hartshorne), Amer. Math. Soc. (1975) 165 MR0374131
15 M Hovey, Model categories, Math. Surveys and Monogr. 63, Amer. Math. Soc. (1999) MR1650134
16 J F P Hudson, Piecewise linear topology, Univ. of Chicago Lecture Notes, W A Benjamin (1969) MR0248844
17 D Husemoller, Fibre bundles, Graduate Texts in Math. 20, Springer (1994) MR1249482
18 M Kontsevich, Operads and motives in deformation quantization, Lett. Math. Phys. 48 (1999) 35 MR1718044
19 M Kontsevich, Y Soibelman, Deformations of algebras over operads and the Deligne conjecture, from: "Conférence Moshé Flato 1999, Vol. I (Dijon)" (editors G Dito, D Sternheimer), Math. Phys. Stud. 21, Kluwer Acad. Publ. (2000) 255 MR1805894
20 P Lambrechts, I Volić, Formality of the little $N$–disks operad, submitted arXiv:0808.0457
21 P Lelong, Intégration sur un ensemble analytique complexe, Bull. Soc. Math. France 85 (1957) 239 MR0095967
22 C P Rourke, B J Sanderson, Introduction to piecewise-linear topology, Ergebnisse der Math. und ihrer Grenzgebiete 69, Springer (1972) MR0350744
23 M Shiota, M Yokoi, Triangulations of subanalytic sets and locally subanalytic manifolds, Trans. Amer. Math. Soc. 286 (1984) 727 MR760983
24 D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. (1977) MR0646078
25 E C Zeeman, On the dunce hat, Topology 2 (1964) 341 MR0156351