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ArticleOriginal scientific text

Title

Spaces and equations

Authors 1

Affiliations

  1. Mathematics Department, University of Colorado, Boulder, CO 80309-0395, U.S.A.

Abstract

It is proved, for various spaces A, such as a surface of genus 2, a figure-eight, or a sphere of dimension ≠ 1,3,7, and for any set Σ of equations, that Σ cannot be modeled by continuous operations on A unless Σ is undemanding (a form of triviality that is defined in the paper).

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Fundamenta Mathematicae
2000/164/3
Export to PBN, Opens in new tab
Pages:
193-240
Main language of publication
English
Received
1999-01-13
Accepted
1999-09-16
Published
2000
Exact and natural sciences