The Journal of the Indian Mathematical Society

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On Hausdorff Extensions and Hausdorff Absolutes of an Orbit Space


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

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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.
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  • On Hausdorff Extensions and Hausdorff Absolutes of an Orbit Space

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Authors

K. K. Azad
Department of Mathematics and Statistics, University of Allahabad, Allahabad—211002, India
Gunjan Agrawal
Department of Mathematics, Davalbagh Educational Institute, Dayalbagh, Agra-282005, India

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.