The Core Ingram Conjecture for non-recurrent critical points
Copyright policy )The Core Ingram Conjecture for non-recurrent critical points
We study inverse limit spaces of tent maps, and the Ingram Conjecture, which states that the inverse limit spaces of tent maps with different slopes are non-homeomorphic. When the tent map is restricted to its core, so there is no ray compactifying on the inverse limit space, this result is referred to as the Core Ingram Conjecture. We prove the Core Ingram Conjecture when the critical point is non-recurrent and not preperiodic.
- MEDIZINISCHE UNIVERSITAT GRAZ Austria
- University of Vienna Austria
- Universität Wien Austria
- University of Zagreb Croatia
- Universität Wien Austria
37B45, 37E05, 54H20, Inverse limit space, tent map ; inverse limit space ; Ingram conjecture, Continua theory in dynamics, TENT MAPS, tent map, Dynamical Systems (math.DS), inverse limit, Topological dynamics, Tent map, CLASSIFICATION, Dynamical systems involving maps of the interval, CONTINUUM, 101022 Topology, Ingram conjecture, INVERSE LIMIT SPACES, FOS: Mathematics, 101022 Topologie, Mathematics - Dynamical Systems, FINITE CRITICAL ORBIT, inverse limit space
37B45, 37E05, 54H20, Inverse limit space, tent map ; inverse limit space ; Ingram conjecture, Continua theory in dynamics, TENT MAPS, tent map, Dynamical Systems (math.DS), inverse limit, Topological dynamics, Tent map, CLASSIFICATION, Dynamical systems involving maps of the interval, CONTINUUM, 101022 Topology, Ingram conjecture, INVERSE LIMIT SPACES, FOS: Mathematics, 101022 Topologie, Mathematics - Dynamical Systems, FINITE CRITICAL ORBIT, inverse limit space
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