Homotopy type of Euclidean configuration spaces

Salvatore, Paolo. "Homotopy type of Euclidean configuration spaces." Proceedings of the 20th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2001. 161-164. <http://eudml.org/doc/221510>.

@inProceedings{Salvatore2001,
abstract = {Let $F(\{\mathbb \{R\}\}^n, k)$ denote the configuration space of pairwise-disjoint $k$-tuples of points in $\{\mathbb \{R\}\}^n$. In this short note the author describes a cellular structure for $F(\{\mathbb \{R\}\}^n, k)$ when $n \ge 3$. From results in [F. R. Cohen, T. J. Lada and J. P. May, The homology of iterated loop spaces, Lect. Notes Math. 533 (1976; Zbl 0334.55009)], the integral (co)homology of $F(\{\mathbb \{R\}\}^n, k)$ is well-understood. This allows an identification of the location of the cells of $F(\{\mathbb \{R\}\}^n, k)$ in a minimal cell decomposition. Somewhat more detail is provided by the main result here, in which the attaching maps are identified as higher order Whitehead products.},
author = {Salvatore, Paolo},
booktitle = {Proceedings of the 20th Winter School "Geometry and Physics"},
keywords = {Winter school; Proceedings; Geometry; Physics; Srní(Czech Republic)},
location = {Palermo},
pages = {161-164},
publisher = {Circolo Matematico di Palermo},
title = {Homotopy type of Euclidean configuration spaces},
url = {http://eudml.org/doc/221510},
year = {2001},
}

TY - CLSWK
AU - Salvatore, Paolo
TI - Homotopy type of Euclidean configuration spaces
T2 - Proceedings of the 20th Winter School "Geometry and Physics"
PY - 2001
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 161
EP - 164
AB - Let $F({\mathbb {R}}^n, k)$ denote the configuration space of pairwise-disjoint $k$-tuples of points in ${\mathbb {R}}^n$. In this short note the author describes a cellular structure for $F({\mathbb {R}}^n, k)$ when $n \ge 3$. From results in [F. R. Cohen, T. J. Lada and J. P. May, The homology of iterated loop spaces, Lect. Notes Math. 533 (1976; Zbl 0334.55009)], the integral (co)homology of $F({\mathbb {R}}^n, k)$ is well-understood. This allows an identification of the location of the cells of $F({\mathbb {R}}^n, k)$ in a minimal cell decomposition. Somewhat more detail is provided by the main result here, in which the attaching maps are identified as higher order Whitehead products.
KW - Winter school; Proceedings; Geometry; Physics; Srní(Czech Republic)
UR - http://eudml.org/doc/221510
ER -