Homotopy types of spaces of submanifolds of ${\mathbb R}^n$

Federico Cantero Morán

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arXiv · 1412.4938

Homotopy types of spaces of submanifolds of ${\mathbb R}^n$

Federico Cantero Morán

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Abstract

We compute the homotopy type of the space of proper d-dimensional submanifolds of ${\mathbb R}^n$ with a smooth version of the Fell topology. Our methods allow us to compute the homotopy type of the space of submanifolds with summable labels too, and to give a new proof of the Galatius--Randal-Williams theorem on the homotopy type of their space of submanifolds

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Federico Cantero Morán. 2014-12-16. Homotopy types of spaces of submanifolds of ${\mathbb R}^n$. https://arxiv.org/abs/1412.4938

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