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pro vyhledávání: '"Mezabarba, Renan Maneli"'
This paper uses a net-theoretic approach to convergence spaces, aimed to simplify the description of continuous convergence in order to apply it in problems concerning Homotopy Theory. We present methods for handling homotopies of limit spaces, defin
Externí odkaz:
http://arxiv.org/abs/2410.18245
Autor:
Mezabarba, Renan Maneli
Neste trabalho, alguns espaços de funções que surgem naturalmente no contexto da topologia geral são estudados. Por meio da noção de bornologias, problemas de Cp-teoria e Ck-teoria são analisados simultaneamente, como a caracterização de cer
This work presents the selection principle $S_1^*(\tau_x,CD)$ that characterizes $q$-points. We also discuss the induced topological game $G_1^*(\tau_x,CD)$ and its relations with $W$-points and $\widetilde{W}$-points, as well as with the game $G_1(\
Externí odkaz:
http://arxiv.org/abs/2104.02765
Autor:
Mezabarba, Renan Maneli
This work presents proofs for Hurewicz's and Pawlikowski's Theorems about topological games in the context of lattices, in which one cannot argue with points.
Externí odkaz:
http://arxiv.org/abs/2102.12901
We investigate the notion of productive cellularity of arbitrary posets and topological spaces. Particularly, by working with families of antichains ordered with reverse inclusion, we give necessary and sufficient conditions to determine whether a po
Externí odkaz:
http://arxiv.org/abs/2005.10325
Autor:
Mezabarba, Renan Maneli
In this work we analyze some selection principles over some classes of hyperspaces. In the first part we consider selective variations of tightness over a class of function spaces whose topologies are determined by bornologies on the space. As result
We extend known results of selection principles in $C_p$-theory to the context of spaces of the form $C_{\mathcal{B}}(X)$, where $\mathcal{B}$ is a bornology on $X$. Particularly, by using the filter approach of Jordan to $C_p$-theory, we show that $
Externí odkaz:
http://arxiv.org/abs/1710.01651
Some results in C_k-theory are obtained with the use of bornologies. We investigate under which conditions the space of the continuous real functions with the compact-open topology is a productively countably tight space, which yields some applicatio
Externí odkaz:
http://arxiv.org/abs/1311.2011