On slight homogeneous and countable dense homogeneous spaces

Authors

  • Samer Al Ghour Department of Mathematics and Statistics, Jordan University of Science and Technology, IRBID 22110, JORDAN Author
  • Nahed Al Khatib Department of Mathematics and Statistics, Jordan University of Science and Technology, IRBID 22110, JORDAN Author

Keywords:

Clopen sets, slight continuity, extremally disconnected spaces, homogeneity, countable dense homogeneity, homogeneous components

Subjects:

54A05, 54B05, 54B10, 54C08

Abstract

As two separated concepts connectedness and homogeneity are generalized byslight homogeneity. Sum theorems and product theorems regarding slighthomogeneous spaces are obtained. Many results concerning slight homogeneouscomponents are given. Also, SCDH spaces generalize CDH spaces. It is provedin an extremally disconnected SCDH space that, all slightly homogenouscomponents are clopen and SCDH subspaces. Many other results and manyexamples and counter-examples concerning slight homogeneity and SCDH spacesare obtained.

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Published

2011-04-15

Issue

Vol. 63 No. 2 (2011): Vol. 63, Issue 2

Section

Articles

License

Copyright (c) 2011 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.