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5 papers
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…
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…
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…
Equicontinuity of maps on dendrites
Javier Camargo, Michael Rincón, Carlos Uzcátegui
Given a dendrite and a continuous map , we show the following are equivalent: (i) is continuous and $\overline{\mathrm{Per}(f)}=\bigcap_{n\in\mathbb{N}}f^…
The open mapping principle for partial actions of polish groups
J Gómez, H. Pinedo, C. Uzcátegui
We present a extension of the classical open mapping principle and Effros' theorem for Polish group actions to the context of partial group actions.