A coarse invariant
Addison Fox, Brendon LaBuz, Robert Laskowsky
TL;DR
This paper extends a previously defined invariant of metric spaces to the coarse category, broadening its applicability in large-scale geometry and coarse analysis.
Contribution
It introduces a coarse invariant based on earlier work, adapting the concept to the coarse category for broader geometric applications.
Findings
Defines a new coarse invariant for metric spaces.
Shows the invariant's consistency under coarse equivalences.
Provides potential applications in large-scale geometry.
Abstract
This note extends the invariant defined in "An invariant of metric spaces under bornologous equivalences" to the coarse category.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Intracranial Aneurysms: Treatment and Complications