Variations on Poincaré-Miranda’s Theorem-Reference-Cited by-同舟云学术

Variations on Poincaré-Miranda’s Theorem

Published:2013-02-01 Issue:1 Volume:13 Page:209-217
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Mawhin Jean¹

Affiliation:

1. Institut de Recherche en Mathématique et Physique Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium

Abstract

Abstract We give an elementary proof of Poincaré-Miranda’s theorem based upon basic exterior calculus, and apply it to prove its geometric version due to Hurewicz. We state and prove a version of Poincaré-Miranda’s theorem on the Hilbert’s cube in l2.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2013-0112/pdf

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