scholarly journals A classification of inverse limit spaces of tent maps with periodic critical points

2003 ◽  
Vol 177 (2) ◽  
pp. 95-120 ◽  
Author(s):  
Lois Kailhofer
Keyword(s):  
Critical Points ◽  
Inverse Limit ◽  
Inverse Limit Spaces ◽  
Tent Maps

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
Sign in / Sign up

Export Citation Format

Share Document