
TL;DR
This paper classifies the different types of coarse spaces based on their structural properties, showing that any variety containing an unbounded metric space encompasses all coarse spaces.
Contribution
It provides a complete classification of varieties of coarse spaces and characterizes when such a variety includes all coarse spaces.
Findings
Classifies all varieties of coarse spaces.
Shows that containing an unbounded metric space implies the variety includes all coarse spaces.
Establishes structural properties of coarse space varieties.
Abstract
A class of coarse spaces is called a variety if is closed under formation of subspaces, coarse images and products. We classify the varieties of coarse spaces and, in particular, show that if a variety contains an unbounded metric space then is the variety of all coarse spaces.
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Taxonomy
TopicsIntracranial Aneurysms: Treatment and Complications · Advanced Banach Space Theory
