A new proof of Poincaré-Miranda theorem based on the classification of one-dimensional manifolds

Fuente: arXiv
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Autore principale: Yang, Xiao-Song
Natura: Preprint
Pubblicazione: 2025
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_version_ 1866917070501838848
author Yang, Xiao-Song
author_facet Yang, Xiao-Song
contents This note gives a new elementary proof of Poincaré-Miranda theorem based on Sard's theorem and the simple classification of one-dimensional manifolds.
format Preprint
id arxiv_https___arxiv_org_abs_2511_06828
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A new proof of Poincaré-Miranda theorem based on the classification of one-dimensional manifolds
Yang, Xiao-Song
General Topology
58C30, 55M20, 57R35
This note gives a new elementary proof of Poincaré-Miranda theorem based on Sard's theorem and the simple classification of one-dimensional manifolds.
title A new proof of Poincaré-Miranda theorem based on the classification of one-dimensional manifolds
topic General Topology
58C30, 55M20, 57R35
url https://arxiv.org/abs/2511.06828