<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we characterize spaces such that their one-point compactification is a scattered space. We study spaces such that their Wallman compactification is scattered and we give necessary and sufficient conditions on the subspace A to get its closure scattered. An application of scattered spaces to image classification problem is also presented.</p></abstract>

In this paper, we characterize spaces such that their one-point compactification is a scattered space. We study spaces such that their Wallman compactification is scattered and we give necessary and sufficient conditions on the subspace A to get its closure scattered. An application of scattered spaces to image classification problem is also presented.

Scattered Spaces, Compactifications and an Application to Image Classification Problem

University of Dammam College of Science Department of Mathematics P.O. Box 383 Dammam 31113,

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we characterize spaces such that their one-point compactification is a scattered space. We study spaces such that their Wallman compactification...

Scattered Spaces, Compactifications and an Application to Image Classification Problem

Publié en ligne: 20 janv. 2017

Pages: 1 - 12

Reçu: 11 avr. 2016

DOI: https://doi.org/10.1515/tmmp-2016-0015

Mots clés
classification, compactification, digital topology, scattered spaces

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Scattered Spaces, Compactifications and an Application to Image Classification Problem

Publié en ligne: 20 janv. 2017

Pages: 1 - 12

Reçu: 11 avr. 2016

DOI: https://doi.org/10.1515/tmmp-2016-0015

Mots clésclassification, compactification, digital topology, scattered spaces

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
classification, compactification, digital topology, scattered spaces