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math.GN2020
Selective separability and on maximal spaces
Ramiro de la Vega, Javier Murgas, Carlos Uzcátegui
Given a hereditarily meager ideal on a countable set we use Martin's axiom for countable posets to produce a zero-dimensional maximal topology on…
math.GN2019
On the continuity of the elements of the Ellis semigroup and other properties
S. García-Ferreira, Y. Rodríguez-López, C. Uzcátegui
We consider discrete dynamical systems whose phase spaces are compact metrizable countable spaces. In the first part of the article, we study some properties that guarantee the con…
math.GN2019
Combinatorial properties on nodec countable spaces with analytic topology
Javier Murgas, Carlos Uzcátegui
We study some variations of the product topology on families of clopen subsets of in order to construct countable nodec regular spaces (i.e. in whi…