Add to ORKGAbstract. We prove that, if X is a Tychonoff connected space and X(x, X)::;; OJ for some x E X, then there exists a strictly stronger Tychonoff connected topology on the space X, i.e., the space X is not maximal Tychonoff connected. We also establish that if X is locally connected or CT-compact or has pointwise countable type then X cannot be maximal Tychonoff connected. 1
Much of topology can be done in a setting where open sets have fuzzy boundaries. To render this prec...
AbstractWe prove that any metrizable non-compact space has a weaker metrizable nowhere locally compa...
AbstractWe study when a Tychonoff space X is countably compact at infinity, that is, the remainder o...
The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff...
Abstract. We study when a topological space has a weaker connected topology. Various sufficient and ...
Call a space X Tychonoff connectifiable if X has a connected Tychonoff extension or, equivalently, a...
AbstractA restrictedness on a topological space X is a collection K of subsets of X, the elements of...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
AbstractThe recent literature offers examples, specific and hand-crafted, of Tychonoff spaces (in ZF...
AbstractWe present a general method of constructing extremally disconnected topologies, by which we ...
AbstractThrough the study of connected congruences of frames, we prove, without assuming any Choice ...
AbstractAs has been disclosed by K. Martin, a large number of important topological spaces do not ha...
A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudoc...
In 1975, M. M. Choban \cite{C} introduced a new topology on the set of all closed subsets of a topol...
Much of topology can be done in a setting where open sets have fuzzy boundaries. To render this prec...
AbstractWe prove that any metrizable non-compact space has a weaker metrizable nowhere locally compa...
AbstractWe study when a Tychonoff space X is countably compact at infinity, that is, the remainder o...
The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff...
Abstract. We study when a topological space has a weaker connected topology. Various sufficient and ...
Call a space X Tychonoff connectifiable if X has a connected Tychonoff extension or, equivalently, a...
AbstractA restrictedness on a topological space X is a collection K of subsets of X, the elements of...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
AbstractThe recent literature offers examples, specific and hand-crafted, of Tychonoff spaces (in ZF...
AbstractWe present a general method of constructing extremally disconnected topologies, by which we ...
AbstractThrough the study of connected congruences of frames, we prove, without assuming any Choice ...
AbstractAs has been disclosed by K. Martin, a large number of important topological spaces do not ha...
A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudoc...
In 1975, M. M. Choban \cite{C} introduced a new topology on the set of all closed subsets of a topol...
Much of topology can be done in a setting where open sets have fuzzy boundaries. To render this prec...
AbstractWe prove that any metrizable non-compact space has a weaker metrizable nowhere locally compa...
AbstractWe study when a Tychonoff space X is countably compact at infinity, that is, the remainder o...