Spaces and equations
Volume 164 / 2000
Fundamenta Mathematicae 164 (2000), 193-240
DOI: 10.4064/fm-164-3-193-240
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).
