Permanence in Coarse Geometry

Erik Guentner ()
Additional contact information
Erik Guentner: University of Hawai‘i at Mānoa, Department of Mathematics

A chapter in Recent Progress in General Topology III, 2014, pp 507-533 from Springer

Abstract: Abstract The, large scale, or coarse perspective on the geometry of metric spaces plays an important role in approaches to conjectures in operator algebras and the topology of manifolds. Coarse geometric properties having implications for these conjectures include, among others, finite asymptotic dimension, its weaker variant finite decomposition complexity, and coarse embeddability. In this paper, we survey the permanence characteristics of these and other properties. Rather than focus on the individual properties, however, we examine the general structure of permanence results in coarse geometry.

Keywords: Free Product; Total Space; Artin Group; Coarse Structure; Coarse Space (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-6239-024-9_11

Ordering information: This item can be ordered from
http://www.springer.com/9789462390249

DOI: 10.2991/978-94-6239-024-9_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().