The Journal of the Indian Mathematical Society

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On Selectively Star-Lindelof Properties


Affiliations
1 ICFAI University Tripura, Kamalghat, Tripura, 799210, India
2 Department of Mathematics, Tripura University, Suryamaninagar, Tripura, 799022, India
3 Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand
     

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In this paper a new covering notion, called M-star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*D,fin(D, D). The stronger form SS*D,1(D, D) of the selection hypothesis SS*D,fin(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator.

Keywords

Selection Hypothesis, Star-Lindelof Space.
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  • On Selectively Star-Lindelof Properties

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Authors

Prasenjit Bal
ICFAI University Tripura, Kamalghat, Tripura, 799210, India
Subrata Bhowmik
Department of Mathematics, Tripura University, Suryamaninagar, Tripura, 799022, India
David Gauld
Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand

Abstract


In this paper a new covering notion, called M-star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*D,fin(D, D). The stronger form SS*D,1(D, D) of the selection hypothesis SS*D,fin(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator.

Keywords


Selection Hypothesis, Star-Lindelof Space.

References