Structure of Inverse Limit Spaces of Tent Maps with Nonrecurrent Critical Points (CROSBI ID 124219)
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Raines, Brian ; Štimac, Sonja
engleski
Structure of Inverse Limit Spaces of Tent Maps with Nonrecurrent Critical Points
In this paper we examine the structure of composants of inverse limit spaces generated by tent maps with a nonrecurrent critical point. We identify important structures and substructures of certain composants, and we prove the surprising result that, assuming the critical point is nonrecurrent, there are only finitely many ``types'' of structures in these composants. This is an important first step towards classifying this family of inverse limit spaces which would in turn lead us closer to a proof of the Ingram Conjecture.
nonrecurrent critical point; tent map; inverse limit; composant; folding point; folding pattern
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