Ultrafilters, Ultraproducts, Ultrapowers, and Asymptotic Cones

2021 ◽  
pp. 207-254
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Michele D’Adderio
Keyword(s):  
Asymptotic Cones

scholarly journals On manifolds with quadratic curvature decay

2009 ◽  
Vol 145 (2) ◽  
pp. 528-540 ◽  
Author(s):  
Nader Yeganefar
Keyword(s):  
Topological Type ◽  
Noncompact Manifold ◽  
Asymptotic Cones ◽  
Finite Topological Type ◽  
Curvature Decay

AbstractWe give conditions which imply that a complete noncompact manifold with quadratic curvature decay has finite topological type. In particular, we find links between the topology of a manifold with quadratic curvature decay and some properties of the asymptotic cones of such a manifold.

scholarly journals The relation between rough Wijsman convergence and asymptotic cones

2016 ◽  
Vol 40 ◽  
pp. 1349-1355 ◽  
Author(s):  
Öznur ÖLMEZ ◽  
Salih AYTAR
Keyword(s):  
Wijsman Convergence ◽  
Asymptotic Cones

Asymptotic Cones

2012 ◽  
pp. 67-76
Author(s):  
Avinoam Mann
Keyword(s):  
Asymptotic Cones

scholarly journals On groups with locally compact asymptotic cones

2015 ◽  
Vol 25 (01n02) ◽  
pp. 37-40
Author(s):  
Mark Sapir
Keyword(s):  
Group Theory ◽  
Recent Result ◽  
Asymptotic Cone ◽  
Finitely Generated ◽  
Stable Group ◽  
Locally Compact ◽  
Asymptotic Cones ◽  
Finitely Generated Group

We show how a recent result of Hrushovsky [Stable group theory and approximate subgroups, J. Amer. Math. Soc.25(1) (2012) 189–243] implies that if an asymptotic cone of a finitely generated group is locally compact, then the group is virtually nilpotent.

Diurnal cosmic-ray variation with the inclusion of the geometrical effects and the asymptotic cones of approach

1968 ◽  
Vol 46 (10) ◽  
pp. S809-S811 ◽  
Author(s):  
L. I. Dorman ◽  
S. Fischer
Keyword(s):  
Spatial Distribution ◽  
High Latitude ◽  
Intensity Variation ◽  
Cosmic Ray ◽  
The Sun ◽  
Neutron Monitors ◽  
Asymptotic Cones ◽  
Diurnal Anisotropy ◽  
Geometrical Effects

Employing the data from cosmic-ray neutron monitors at high latitude, the spatial distribution of the axis of the diurnal anisotropy is determined. The effects of the earth's revolution around the sun on the diurnal intensity variation is investigated. A new method for further investigation of the spatial distribution of the anisotropy and for the determination of its spectra in various directions has been proposed.

scholarly journals Tree-graded spaces and asymptotic cones of groups

Topology ◽  
2005 ◽  
Vol 44 (5) ◽  
pp. 959-1058 ◽  
Author(s):  
Cornelia Druţu ◽  
Mark Sapir
Keyword(s):  
Asymptotic Cones
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