A parametrized Pontryagin--Thom theorem

Fuente: arXiv
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Main Authors: Ayala, David, Francis, John
Format: Preprint
Published: 2025
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author Ayala, David
Francis, John
author_facet Ayala, David
Francis, John
contents We prove a space-level enhancement of the Pontryagin--Thom theorem, identifying the space of maps from a manifold to a Thom space with a moduli space of submanifolds.
format Preprint
id arxiv_https___arxiv_org_abs_2512_10274
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A parametrized Pontryagin--Thom theorem
Ayala, David
Francis, John
Algebraic Topology
Category Theory
Geometric Topology
Primary 57R90. Secondary 57N75, 55U10, 58D29
We prove a space-level enhancement of the Pontryagin--Thom theorem, identifying the space of maps from a manifold to a Thom space with a moduli space of submanifolds.
title A parametrized Pontryagin--Thom theorem
topic Algebraic Topology
Category Theory
Geometric Topology
Primary 57R90. Secondary 57N75, 55U10, 58D29
url https://arxiv.org/abs/2512.10274