Some properties of subsets, almost closed mappings and paracompactness.
Some properties of the induced map
Some properties of uniform ordered spaces
Some properties of weakly open functions in bitopological spaces.
Some questions on the composition factor property for atomic mappings.
Some recent results concerning weak Asplund spaces
Some results on inverse spectra. I.
Some results on inverse spectra. II.
Some subsets of ideal topological spaces
Some theorems on invariance of infinite dimension under open and closed mappings
Some union theorems for confluent mappings
Somewhat continuous functions
Spaces whose only finite-sheeted covers are themselves. I.
Spaces with a locally countable -network.
Spaces with a locally countable -network.
Spaces with a primitive base and perfect mappings
Spaces with countable -networks
In this paper, we prove that a space is a sequentially-quotient -image of a metric space if and only if has a point-star -network consisting of -covers. By this result, we prove that a space is a sequentially-quotient -image of a separable metric space if and only if has a countable -network, if and only if is a sequentially-quotient compact image of a separable metric space; this answers a question raised by Shou Lin affirmatively. We also obtain some results on spaces with countable...
Spaces with star countable extent
For a topological property , we say that a space is star if for every open cover of the space there exists such that . We consider space with star countable extent establishing the relations between the star countable extent property and the properties star Lindelöf and feebly Lindelöf. We describe some classes of spaces in which the star countable extent property is equivalent to either the Lindelöf property or separability. An example is given of a Tychonoff star Lindelöf space with...
Spaces with -locally countable weak-bases
In this paper, spaces with -locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or -first countable spaces with -locally countable -networks).
Spaces in which all prime -ideals of are minimal or maximal
Quasi -spaces are defined to be those Tychonoff spaces such that each prime -ideal of is either minimal or maximal. This article is devoted to a systematic study of these spaces, which are an obvious generalization of -spaces. The compact quasi -spaces are characterized as the compact spaces which are scattered and of Cantor-Bendixson index no greater than 2. A thorough account of locally compact quasi -spaces is given. If is a cozero-complemented space and every nowhere dense zeroset...