Araştırma Makalesi
Yıl 2018,
Cilt: 47 Sayı: 1, 69 - 75, 01.02.2018
Öz
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.
Anahtar Kelimeler
Ideal Topological Space Rothberger Space Almost Rothberger Weakly Rothberger
Kaynakça
- 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.
Yıl 2018,
Cilt: 47 Sayı: 1, 69 - 75, 01.02.2018
Öz
Kaynakça
- 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.
Toplam 10 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Şubat 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 47 Sayı: 1 |