Properties Preserved by Groupoid Equivalence
Daniel W. van Wyk, Dana P. Williams
TL;DR
This paper demonstrates that groupoid equivalence maintains several key properties of groupoids, including properness and being topologically principal, highlighting the invariance of these properties under equivalence.
Contribution
The paper establishes that important properties like properness and topological principality are preserved under groupoid equivalence, advancing understanding of groupoid invariants.
Findings
Properness is preserved under groupoid equivalence
Being topologically principal is invariant under equivalence
Groupoid properties are robust under equivalence transformations
Abstract
We show that groupoid equivalence preserves a number of groupoid properties such as properness or the property of being topologically principal.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory · Fuzzy and Soft Set Theory