Mynard, Frédéric(Universitat Politècnica de València, 2023-04-05)
[EN]
We study concrete endofunctors of the category of convergence spaces and continuous maps that send initial maps to initial maps or final maps to final maps. The former phenomenon turns out to be fairly common while ...
Shakir, Qays Rashid(Universitat Politècnica de València, 2023-04-05)
[EN] In this article, we investigate the notion of setwise betweenness, a concept introduced by P. Bankston as a generalisation of pointwise betweenness. In the context of continua, we say that a subset C of a continuum X ...
Macías, Sergio(Universitat Politècnica de València, 2023-04-05)
[EN] We introduce the notion of uniformly refinable map for compact, Hausdorff spaces, as a generalization of refinable maps originallydefined for metric continua by Jo Ford (Heath) and Jack W. Rogers, Jr., Refinable maps, ...
Pakdaman, Ali(Universitat Politècnica de València, 2023-04-05)
[EN] In this paper we introduce notions of digital semicovering and digital quasicovering maps. We show that these are generalizations of digital covering maps and investigate their relations. We will also clarify the ...
Peters, James Francis; Vergili, Tane(Universitat Politècnica de València, 2023-04-05)
[EN] This paper introduces proximal path cycles, which lead to the main results in this paper, namely, extensions of the Mitsuishi-Yamaguchi Good Coverning Theorem with different forms of Tanaka good cover of an Alexandrov ...