The Brouwer invariance theorems in reverse mathematics

In [12], John Stillwell wrote, ‘finding the exact strength of the Brouwer invariance theorems seems to me one of the most interesting open problems in reverse mathematics.’ In this article, we solve Stillwell’s problem by showing that (some forms of) the Brouwer invariance theorems are equivalent to...

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Bibliographic Details
Main Author: Takayuki Kihara
Format: Article
Language:English
Published: Cambridge University Press 2020-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509420000523/type/journal_article