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Gehman Dendrite G_4 as Generalize Inverse Limit Spaces of Upper Semi Continuous Bonding Functions on [0,1]

Faruq Mena ⟨faruq.mena@soran.edu.iq⟩

Abstract:

In this talk we prove that the Gehman dendrite G_4 can be obtained as a generalized inverse limit space with a single upper semi-continuous bonding function on [0,1]. This answers a question of Farhan and Mena. Moreover, we find an uncountable family of inverse sequences on [0,1] whose inverse limit spaces are homeomorphic to the Gehman dendrite G_4.

Status: Accepted

Collection: Continuum Theory

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