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Bal, Prasenjit
- Star-Selection Principle:Another New Direction
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The Journal of the Indian Mathematical Society, Vol 84, No 1-2 (2017), Pagination: 1-6Abstract
Generally selection principles deal with two collections of families of subsets. In this paper we have introduce some new star-selection principles termed as SS*C,1(A,B) and SS*C,fin(A,B) which deal with three collections of subsets or families of subsets of a set. As a initiation of a systemic study, some properties of the new selection principles are investigated which show them to be distinct from existing selection principles.Keywords
Selection Principle, Star-Lindelof Space.
References
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- On Selectively Star-Lindelof Properties
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Authors
Affiliations
1 ICFAI University Tripura, Kamalghat, Tripura, 799210, IN
2 Department of Mathematics, Tripura University, Suryamaninagar, Tripura, 799022, IN
3 Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, NZ
1 ICFAI University Tripura, Kamalghat, Tripura, 799210, IN
2 Department of Mathematics, Tripura University, Suryamaninagar, Tripura, 799022, IN
3 Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, NZ
Source
The Journal of the Indian Mathematical Society, Vol 85, No 3-4 (2018), Pagination: 291-304Abstract
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
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