- Home
- Search Results
- Page 1 of 1
Search for: All records
-
Total Resources5
- Resource Type
-
0000000005000000
- More
- Availability
-
50
- Author / Contributor
- Filter by Author / Creator
-
-
Futer, David (5)
-
Schleimer, Saul (2)
-
Fernós, Talia (1)
-
Hagen, Mark (1)
-
Hamilton, Emily (1)
-
Hoffman, Neil R. (1)
-
Purcell, Jessica (1)
-
Purcell, Jessica S (1)
-
Taylor, Samuel (1)
-
Worden, William (1)
-
#Tyler Phillips, Kenneth E. (0)
-
#Willis, Ciara (0)
-
& Abreu-Ramos, E. D. (0)
-
& Abramson, C. I. (0)
-
& Abreu-Ramos, E. D. (0)
-
& Adams, S.G. (0)
-
& Ahmed, K. (0)
-
& Ahmed, Khadija. (0)
-
& Aina, D.K. Jr. (0)
-
& Akcil-Okan, O. (0)
-
- Filter by Editor
-
-
null (1)
-
& Spizer, S. M. (0)
-
& . Spizer, S. (0)
-
& Ahn, J. (0)
-
& Bateiha, S. (0)
-
& Bosch, N. (0)
-
& Brennan K. (0)
-
& Brennan, K. (0)
-
& Chen, B. (0)
-
& Chen, Bodong (0)
-
& Drown, S. (0)
-
& Ferretti, F. (0)
-
& Higgins, A. (0)
-
& J. Peters (0)
-
& Kali, Y. (0)
-
& Ruiz-Arias, P.M. (0)
-
& S. Spitzer (0)
-
& Sahin. I. (0)
-
& Spitzer, S. (0)
-
& Spitzer, S.M. (0)
-
-
Have feedback or suggestions for a way to improve these results?
!
Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher.
Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to non-federal websites. Their policies may differ from this site.
-
Abstract A finite-dimensional CAT(0) cube complexXis equipped with several well-studied boundaries. These include theTits boundary$$\partial _TX$$ (which depends on the CAT(0) metric), theRoller boundary$${\partial _R}X$$ (which depends only on the combinatorial structure), and thesimplicial boundary$$\partial _\triangle X$$ (which also depends only on the combinatorial structure). We use a partial order on a certain quotient of$${\partial _R}X$$ to define a simplicial Roller boundary$${\mathfrak {R}}_\triangle X$$ . Then, we show that$$\partial _TX$$ ,$$\partial _\triangle X$$ , and$${\mathfrak {R}}_\triangle X$$ are all homotopy equivalent,$$\text {Aut}(X)$$ -equivariantly up to homotopy. As an application, we deduce that the perturbations of the CAT(0) metric introduced by Qing do not affect the equivariant homotopy type of the Tits boundary. Along the way, we develop a self-contained exposition providing a dictionary among different perspectives on cube complexes.more » « less
-
Futer, David; Hamilton, Emily; Hoffman, Neil R. (, Journal of Topology)
-
Futer, David; Purcell, Jessica; Schleimer, Saul (, Commentarii Mathematici Helvetici)
-
Futer, David; Purcell, Jessica S; Schleimer, Saul (, Geometry & Topology)
-
Futer, David; Taylor, Samuel; Worden, William (, Groups, Geometry, and Dynamics)null (Ed.)
An official website of the United States government
