Research Article
Year 2018,
Volume: 47 Issue: 1, 69 - 75, 01.02.2018
Abstract
In this paper we introduce Rothberger with respect to an ideal and examine some basic properties. We also investigate its relation to weak Rothberger and almost Rothberger properties.
References
- P. Daniels, Pixley-Roy spaces over subsets of the reals, Topology App. 29(1988)93-106.
- T.R. Hamlett, Lindelöf with respect to an ideal, New Zealand Journal of Mathematics, 42(2012)115-120.
- K. Kuratowski, Topology,Vol.1, Academic Press, New York, 1966.
- D. Jankovic, T.R. Hamlett, New Topologies from old via ideals, Amer. Math. Monthly, 97(1990)295-310.
- F. Rothberger, Eine Verschärfung der Eigenschalft, Fund. Math. 3(1938)50-55.
- M. Scheepers, Combinatorics of open covers(I): Ramsey theory, Topology Appl. 69(1996)31- 62.
- M. Scheepers, Lusin sets, Proc. Amer. Math. Soc., 197(1999)251-257.
- Y.K. Song, Remarks on almost Rothberger spaces and weakly Rothberger spaces, Quaestiones Mathematicae, 38(3)(2015)317-325.
- L.A. Steen, J.A. Seebach,Jr., Counterexamples in topology, Dover Publications, Inc., New York, 1978.
- R. Vaidyanathaswamy, The localisation theory in the set topology, Proc.Indian Acad. Sci. 20(1945),51–61.
Year 2018,
Volume: 47 Issue: 1, 69 - 75, 01.02.2018
Abstract
References
- P. Daniels, Pixley-Roy spaces over subsets of the reals, Topology App. 29(1988)93-106.
- T.R. Hamlett, Lindelöf with respect to an ideal, New Zealand Journal of Mathematics, 42(2012)115-120.
- K. Kuratowski, Topology,Vol.1, Academic Press, New York, 1966.
- D. Jankovic, T.R. Hamlett, New Topologies from old via ideals, Amer. Math. Monthly, 97(1990)295-310.
- F. Rothberger, Eine Verschärfung der Eigenschalft, Fund. Math. 3(1938)50-55.
- M. Scheepers, Combinatorics of open covers(I): Ramsey theory, Topology Appl. 69(1996)31- 62.
- M. Scheepers, Lusin sets, Proc. Amer. Math. Soc., 197(1999)251-257.
- Y.K. Song, Remarks on almost Rothberger spaces and weakly Rothberger spaces, Quaestiones Mathematicae, 38(3)(2015)317-325.
- L.A. Steen, J.A. Seebach,Jr., Counterexamples in topology, Dover Publications, Inc., New York, 1978.
- R. Vaidyanathaswamy, The localisation theory in the set topology, Proc.Indian Acad. Sci. 20(1945),51–61.
There are 10 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | February 1, 2018 |
| Published in Issue | Year 2018 Volume: 47 Issue: 1 |