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Countable compact invariant sets

Vrijeme: 7.6.2006
Predavaonica: 005
Predavač: Prof. dr. Brian Raines, Baylor University, USA
Naziv: Countable compact invariant sets
Web stranica: Kliknite ovdje

We characterize the structure of compact sets which are countably infinite and which are left invariant under a weakly expanding dynamical system. We accomplish this by combining techniques from symbolic dynamics and descriptive set theory. This characterization then is used to fully describe the set of inhomogeneities in all one-dimensional chainable continua. We discuss the implications of this characterization to the Ingram Conjecture.

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