The Journal of the Indian Mathematical Society

K. K. Azad ¹, Gunjan Agrawal ²

Affiliations
1 Department of Mathematics and Statistics, University of Allahabad, Allahabad—211002, IN
2 Department of Mathematics, Davalbagh Educational Institute, Dayalbagh, Agra-282005, IN

Abstract

The paper is concerned with the study of Hausdorff extensions and Hausdorff absolutes of the orbit space of a Hausdorff G-space. Actions are induced on some Hausdorff extensions namely Katetov extension k(X) and Fomin extension σ(X) of a Hausdorff space X acted upon by a discrete group G. A natural question that whether the orbit space of an extension is the corresponding extension of the orbit space is answered in Section 3.

Full Text