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2 results on '"Julián Cuevas-Rozo"'

1. Integration of the Kenzo System within SageMath for New Algebraic Topology Computations

Author

Julián Cuevas-Rozo, Jose Divasón, Miguel Marco-Buzunáriz, and Ana Romero

Subjects
computer algebra, Kenzo interface, computational algebraic topology, homotopy groups, spectral sequences, Mathematics, QA1-939
Abstract

This work integrates the Kenzo system within Sagemath as an interface and an optional package. Our work makes it possible to communicate both computer algebra programs and it enhances the SageMath system with new capabilities in algebraic topology, such as the computation of homotopy groups and some kind of spectral sequences, dealing in particular with simplicial objects of an infinite nature. The new interface allows computing homotopy groups that were not known before.

Published
2021
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2. Q-learning and MCTS techniques for improving an algorithm to compute discrete vector fields on finite topological spaces

Author

Julián Cuevas-Rozo, Jose Divasón, Laureano Lambán, and Ana Romero

Abstract

In this work we present an ongoing project on the improving of a previous symboliccomputation algorithm computing discrete vector fields on finite topological spaces. To this aim, we consider different strategies to choose each one of the possible vectors at each step of the algorithm and we apply some reinforcement learning techniques.

Published
2021

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