# Images on locally separable metric spaces

@article{Shou1997ImagesOL, title={Images on locally separable metric spaces}, author={Lin Shou. and Liu Chuan and Dai Mumin}, journal={Acta Mathematica Sinica}, year={1997}, volume={13}, pages={1-8} }

In this paper internal characterization on certain quotient images of locally separable metric spaces are discussed. We obtain some descriptions of quotients-images, pseudo-opens-images, quotient compact images and closed images of locally separable metric spaces, and establish some relations between these and certain quotient images of metric spaces by the local separability of suitable subspaces.

#### 28 Citations

On π-Images of Locally Separable Metric Spaces

- Mathematics, Computer Science
- Int. J. Math. Math. Sci.
- 2008

Compact-covering is characterized by means of covers having -property by obtaining characterizations of compact-covered spaces -images of locally sparable metric spaces. Expand

Weak-open images of locally separable metric spaces

- Mathematics
- 2011

In this paper, we prove that a space X is a weak-open compact image of a locally separable metric space if and only if X has a uniform cosmic-weak-base if and only if X is a weak-open compact image… Expand

ON PSEUDO-SEQUENCE-COVERING π IMAGES OF LOCALLY SEPARABLE METRIC SPACES

- 2007

In this paper, pseudo-sequence-covering π images and pseudo-sequence-covering, s, π images of locally separable metric spaces are discussed, their internal characterizations are given, which extends… Expand

On sequence-covering msss-images of locally separable metric spaces

- Mathematics
- 2009

This paper gives characterizations of locally separable metric spaces under some sequence-covering msss-mappings by means of certain kind of σ-locally countable networks. As the applications, we get… Expand

Quotient compact images of metric spaces, and related matters

- Mathematics
- 2002

Abstract As a generalization of developments of (developable) spaces, we introduce the notion of σ -strong networks of spaces, and related notions. We give new characterizations for around quotient… Expand

ON PSEUDO-SEQUENCE-COVERING -IMAGES OF LOCALLY SEPARABLE METRIC SPACES

- Computer Science
- 2008

Pseudo-sequence-covering -images of locally separable metric spaces are characterized by means of fcs-covers and point-star networks and this work investigates pseudo- Sequence-Covering -s- images of locally separated metric spaces. Expand

On 1-sequence-covering Pi-s-images of Locally Separable Metric Spaces

- Mathematics
- 2009

In this paper, we give a characterization on 1-sequence-covering pi-s-images of locally separable metric spaces by means of point-countable sigma-strong n-network consisting of cosmic spaces… Expand

On Compact-covering Images of Locally Separable Metric Spaces

- Mathematics
- 2009

Abstract. In this paper, we give the internal characterizations of compact-covering s-(resp., ˇ-)images of locally separable metric spaces. As applications of these results, weobtain… Expand

A note on ℵ-spaces and sn-metrizable spaces

- Mathematics
- 2005

In this paper we give two mapping theorems on ℵ-spaces and sn-metrizable spaces by means of some sequence-covering mappings and mssc-mappings, and get characterizations of quotient (pseudo-open)… Expand

On π-s-images of metric spaces

- Computer Science, Mathematics
- Int. J. Math. Math. Sci.
- 2005

The characterizations of metric spaces under compact-covering and π-s-maps are established by means of cfp-covers (resp., sfp- covers, cs-co covers) and σ-strong networks. Expand

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