Corpus ID: 119617667

# On the homotopy fibre of the inclusion map F\_n(X) $\rightarrow$ $\prod$\_1^n X for some orbit spaces X

@article{Golasiski2016OnTH,
title={On the homotopy fibre of the inclusion map F\_n(X) \$\rightarrow\$ \$\prod\$\_1^n X for some orbit spaces X},
author={M. Golasiński and D. Gonccalves and John Guaschi},
journal={arXiv: Geometric Topology},
year={2016}
}
• Published 2016
• Mathematics
• arXiv: Geometric Topology
• Under certain conditions, we describe the homotopy type of the homo-topy fibre of the inclusion map F\_n(X) $\rightarrow$ $\prod$\_1^n X for the n-th configuration space F\_n(X) of a topological manifold X without boundary such that dim(X) $\ge$ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full… CONTINUE READING

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