Title

Monotone Decompositions of Inverse Limit Spaces Based on Finite Graphs

Abstract

A Θn,L graph is defined to be a compact, connected, locally connected metric space which is not separated into more than n components by any subcontinuum and no subcontinuum is separated into more than L components by any of its subcontinua. If X is a Θn,L graph and f is a continuous surjection of X onto X, then the inverse limit space (X,f) is a Θn continuum (not necessarily locally connected). Furthermore (X,f) admits a unique minimal monotone, upper semicontinuous decomposition such that the quotient space (X,f)/ is a Θn,L graph if and only if (X,f) contains no indecomposable subcontinua with nonempty interior.

Department(s)

Mathematics and Statistics

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1990 Elsevier, All rights reserved.


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