List questions from equivalence-relations | MathQA

How to show two equivalent projection in a $C^*$ algebra are not homotopic

Published on 13 Apr 2026 - 12:50

Examples of relations that don't satisfy one of the three properties of an equivalence relation while satisfying the other two?

Published on 08 Jan 2023 - 0:05

Is $[\star]$ a limit point of the sequence $\langle [\frac{1}{1}] , [\frac{1}{2}], [\frac{1}{3}], \dots \rangle$?

Published on 06 Apr 2026 - 18:21

Equivalence classes of polynomials under function transformations

Published on 13 Apr 2026 - 14:32

Showing that equivalence in ring of fractions is well defined

Published on 11 Apr 2026 - 14:48

Equivalence between two ODEs?

Published on 11 Apr 2026 - 0:14

Why can't a set {(1,1)} be an equivalence relation of set A={1,2,3}?

Published on 20 Jan 2023 - 13:52

Why is it possible to define a partition of integers as prime, composite and {1,-1,0} although divisibility is not an equivalence relationship?

Published on 11 Apr 2026 - 3:50

Projections in $C^*$-Algebras and Murray-von-Neumann Equivalence

Published on 13 Apr 2026 - 0:24

Let $\sim$ be some equivalence relation on $X$. Is there some function with domain $X$ such that $f(x)=f(y)$ exactly when $x\sim y$?

Published on 29 Jan 2023 - 2:56