Abstract

PARRA, CARLOS MARIO  and  SUAREZ RAMIREZ, JOHANY. Finite representation of compact manifolds. Integración - UIS [online]. 2015, vol.33, n.2, pp.97-105. ISSN 0120-419X.

A remarkable achievement of algorithmic topology is A.A.Markov's theorem on the unsolvability of the homeomorphism problem for manifolds. Boone, Haken and Poénaru extended Markov's original proof to the case of closed smooth manifolds. One of their initial difficulties was the introduction of a natural finite representation of a differentiable and/or combinatorial manifold. In this paper we extend this representation to compact smooth manifolds and propose an extension to smooth manifolds

Keywords : Computability and recursion theory; algorithmic topology; smooth manifolds.

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