Preuss, Gerhard(Universitat Politècnica de València, 2003-10-01)
[EN] In the realm of semiuniform convergence spaces first countability is divisible and leads to a well-behaved topological construct with natural function spaces and one-point extensions such that countable products of ...
Angosto Hernández, Carlos; Kakol, Jerzy Marian; López Pellicer, Manuel(Elsevier, 2013-07-01)
[EN] Let E be a Frechet space, i.e. a metrizable and complete locally convex space (lcs), E '' its strong second dual with a defining sequence of seminorms parallel to center dot parallel to(n) induced by a decreasing basis ...
Bella, Angelo; Malykhin, V.I.(Universitat Politècnica de València, 2001-04-01)
[EN] Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.
Kim, Junhui(Universitat Politècnica de València, 2004-04-01)
[EN] Let P be a topological property. A space X is said to be k-P-starcompact if for every open cover U of X, there is a subspace A C X with P such that stk(A,U) = X. In this paper, we consider k-P- starcompactness for ...
González-Silva, R.A.; Hrusák, M.(Universitat Politècnica de València, 2009-10-01)
[EN] Two different open-point games are studied here, the G-game and the Gp-game, defined for each p ∈ ω∗. We prove that for each p ∈ ω∗, there exists a space in which none of the players of the Gp-game has a winning ...
Song, Yan-Kui(Universitat Politècnica de València, 2007-10-01)
[EN] We introduce two new notions of topological spaces called a countably starcompact space and a countably absolutely countably compact (= countably acc) space. We clarify the relations between these spaces and other ...