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Publication Date:
January 2005
ISSN:
1572-9176
DOI:
10.1515/GMJ.2005.515

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Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.

Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-JΓΌrgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, J. / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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On π‘šπ‘ π‘˜-Images of Metric Spaces

Zhaowen Li1 / Shouli Jiang2

1Department of Information, Hunan Business College, Changsha, Hunan 410205, P.R. China. E-mail: Lizhaowen8846@163.com

2Department of Mathematics, Shandong University, Jinan, Shangdong, 250100, P.R. China

Citation Information: Georgian Mathematical Journal. Volume 12, Issue 3, Pages 515–524, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI:Β 10.1515/GMJ.2005.515, January 2005

Publication History:
Received:
2004-07-29
Revised:
2005-03-21

Abstract

In this paper, we introduce the concept of π‘šπ‘ π‘˜-mappings and establish relationships between spaces with -compact-finite 𝑐𝑓𝑝-networks (𝑐𝑠-networks, 𝑐𝑠*-networks) and metric spaces by means of some covering mappings and π‘šπ‘ π‘˜-mappings.

Key words and phrases:: 𝑐𝑓𝑝-networks; 𝑐𝑠-networks; 𝑐𝑠*-networks; π‘šπ‘ π‘˜-mappings; compact-covering mappings; sequence-covering mappings; sequentially-quotient mappings

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