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.
Bella, Angelo(Universitat Politècnica de València, 2018-04-02)
[EN] A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudocompact. The main result here is a counterexample which answers a question rised by Alas, Sanchis and Wilson.
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 ...
Dow, Alan; Porter, Jack R.; Stephenson, R.M.; Grant Woods, R.(Universitat Politècnica de València, 2004-10-01)
[EN] Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”). We study the property FCC and several closely related ...
Nickolas, Peter; Tkachenko, Mikhail(Universitat Politècnica de València, 2005-04-01)
[EN] A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions ...
Nickolas, Peter; Tkachenko, Mikhail(Universitat Politècnica de València, 2005-04-01)
[EN] A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces. In the first case, it is shown that ...