In this paper,we give some characterizations of k-semistratifiable spaces with CF-property,and prove that a k-space X is a k-semistratifiable space with CF-property if and only if it has a σ-CF closed pseudobase(closed k-network).

Notes on σ-hereditarily Closure-preserving k-networks;

In this paper,we investigate the relationships between six kinds of spaces with σ-ωHCP,σ-compact-finite k-networks,cs-networks and wcs~*-networks.

k-networks and Two Michael s Problems;

Semi-quotient Mappings and Spaces With Compact-countable k-networks

A deliberation on questions related to point countable covers leads to a development of the theories of k networks and mappings of metric spaces in generalized metric spaces.

In this paper it is shown that a regular space has a locally countable k-network if and only ifit has a locally countable cs-network.

In this paper,a space with a closed image of a locally compact metric space is obtained if and only if it is a Frchet space with a point-countable weak-compact k-network,it is a new characterization of closed images with locally compact metric spaces by means of weak-compact k-networks.