Journal of the Ramanujan Mathematical Society

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Spaces which are Hereditarily Extremely Disconnected


Affiliations
1 Silesian University, Bankowa 14. 40-007 Katowice, Poland
2 Tennessee State University, Nashville, TN 37209, United States
3 Slippery Rock University, Slippery Rock, PA 16057, United States
     

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It is easy to observe that extremelly disconnected spaces may contain subspaces which are not extremally disconnected. Discrete spaces contain only extremally disconnected subspaces. i.e., they are instances of hereditarily extremally disconnected spaces. We show that there are many other examples of such spaces. We discuss their topological properties and groups of homeomorphisms.

Keywords

Extremally Disconnected, Subspace, Almost Disjoint.
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  • Spaces which are Hereditarily Extremely Disconnected

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Authors

A. Blaszczyk
Silesian University, Bankowa 14. 40-007 Katowice, Poland
M. Rajagopalan
Tennessee State University, Nashville, TN 37209, United States
A. Szymanski
Slippery Rock University, Slippery Rock, PA 16057, United States

Abstract


It is easy to observe that extremelly disconnected spaces may contain subspaces which are not extremally disconnected. Discrete spaces contain only extremally disconnected subspaces. i.e., they are instances of hereditarily extremally disconnected spaces. We show that there are many other examples of such spaces. We discuss their topological properties and groups of homeomorphisms.

Keywords


Extremally Disconnected, Subspace, Almost Disjoint.