Displaying similar documents to “On the boundary of 2-dimensional ideal polyhedra”

Straightening cell decompositions of cusped hyperbolic 3-manifolds

Marina Pescini (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Let M be an oriented cusped hyperbolic 3-manifold and let τ be a topological ideal triangulation of M . We give a characterization for τ to be isotopic to an ideal geodesic triangulation; moreover we give a characterization for τ to flatten into a partially flat triangulation. Finally we prove that straightening combinatorially equivalent topological ideal cell decompositions gives the same geodesic decomposition, up to isometry.

On some ideal related to the ideal (v 0 )

Piotr Kalemba (2015)

Open Mathematics

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The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).