Filters display inverse limit spaces

2004 ◽  
Vol 14 (4) ◽  
pp. 963-968 ◽  
Author(s):  
Jesús Urías
Keyword(s):  
Inverse Limit ◽  
Inverse Limit Spaces

Invariants of weak equivalence in primitive matrices

2000 ◽  
Vol 20 (2) ◽  
pp. 611-626 ◽  
Author(s):  
RICHARD SWANSON ◽  
HANS VOLKMER
Keyword(s):  
Inverse Limit ◽  
Direct Application ◽  
Topological Classification ◽  
Weak Equivalence ◽  
Transition Matrices ◽  
Inverse Limit Spaces ◽  
Positive Dimension ◽  
One Dimensional ◽  
Dimension Group

Weak equivalence of primitive matrices is a known invariant arising naturally from the study of inverse limit spaces. Several new invariants for weak equivalence are described. It is proved that a positive dimension group isomorphism is a complete invariant for weak equivalence. For the transition matrices corresponding to periodic kneading sequences, the discriminant is proved to be an invariant when the characteristic polynomial is irreducible. The results have direct application to the topological classification of one-dimensional inverse limit spaces.

scholarly journals On isotopy and unimodal inverse limit spaces

2012 ◽  
Vol 32 (4) ◽  
pp. 1245-1253 ◽  
Author(s):  
Henk Bruin ◽  
◽  
Sonja Štimac ◽  
Keyword(s):  
Inverse Limit ◽  
Inverse Limit Spaces

scholarly journals Inverse Limit Spaces Satisfying a Poincaré Inequality

2015 ◽  
Vol 3 (1) ◽  
Author(s):  
Jeff Cheeger ◽  
Bruce Kleiner
Keyword(s):  
Banach Space ◽  
Large Class ◽  
Inverse Limit ◽  
Poincaré Inequality ◽  
Doubling Condition ◽  
Poincare Inequality ◽  
Inverse Limit Spaces ◽  
Inverse Systems ◽  
Nikodym Property

Abstract We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [12]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of examples for which our conditions are satisfied. Included are known examples of PI spaces, such as Laakso spaces, and a large class of new examples. As follows easily from [4], generically our examples have the property that they do not bilipschitz embed in any Banach space with Radon-Nikodym property. For Laakso spaces, thiswas noted in [4]. However according to [7] these spaces admit a bilipschitz embedding in L1. For Laakso spaces, this was announced in [5].

scholarly journals Subcontinua of inverse limit spaces of unimodal maps

1999 ◽  
Vol 160 (3) ◽  
pp. 219-246
Author(s):  
Karen Brucks ◽  
Henk Bruin
Keyword(s):  
Inverse Limit ◽  
Unimodal Maps ◽  
Inverse Limit Spaces

scholarly journals Adding machines, endpoints, and inverse limit spaces

2010 ◽  
Vol 209 (1) ◽  
pp. 81-93 ◽  
Author(s):  
Lori Alvin ◽  
Karen Brucks
Keyword(s):  
Inverse Limit ◽  
Inverse Limit Spaces ◽  
Adding Machines
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