The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Star-Selection Principle:Another New Direction


Affiliations
  • Tripura University, Department of Mathematics, India
     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


  • Bal P., Bhowmik S., A counter example in topology of Star-spaces, Bull. Kerala Math. Assoc. 12(1) (2015) 11-13.

  • Bonanzinga M., Cammaroto F. and Kocinac Lj.D.R., Star-Hurewicz and related properties, Appl. Gen. Topol. c Universidad Politecnica de Valencia 5(1) (2004) 79-89.

  • Borel E., Sur la classi cation des ensembles de mesure nulle, Bull Soc. Math France 47 (1919) 97-125.

  • Douwen E.K. van, Reed G.M., Roscoe A.W., Tree I.J., Star covering properties, Topology Appl. 39(1991)71-103.

  • Engelking R., General Topology, Sigma Series in Pure Mathematics, Revised and complete ed.- Berlin: Heldermann, 6 (1989).

  • Hurewicz W., Uber Folgen stetiger Funktionen, Fund. Math. 9 (1927) 193-204.

  • Kocinac Lj D.R., Star-Menger and related spaces, Publ. Math. Debrecan 55(3-4)(1999) 421- 431.

  • Kocinac Lj D.R., Star-Menger and related spaces II, Filomat 13(1999) 129-140.

  • Kocinac Lj D.R., Selected results on selection principles, arXiv:1201.1576v1[math.GN] 7 Jan 2012.

  • Kocinac Lj D.R., Star Selection Principles: A Survey, Khayyam J. Math. 1(1) (2015) 82-106.

  • Rothberger F., Eine Versharfung der Eigenschaft C, Fund. Math. 30 (1938) 50-55.

  • Scheepers M., Selection principles in topology: New directions, Filomat 15 (2001) 111-126.

  • Scheepers M., Selection principles and covering properties in Topology, Note di Mathematica 22(2) (2003) 3-41.

  • Scheepers M., Topological games and Ramsey Theory, In E.Pearl Ed., Open problems in Topology II, Elsevier (2007) 61-90.

  • Song Y.K., Remarks on star-menger Spaces II, Houston J Math, 41(1) (2015) 355-364.


Abstract Views: 440

PDF Views: 2




  • Star-Selection Principle:Another New Direction

Abstract Views: 440  |  PDF Views: 2

Authors

Prasenjit Bal
, India
Subrata Bhowmik
, India

Abstract


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