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Semi-Hurewicz spaces

Yıl 2017, Cilt: 46 Sayı: 1, 53 - 66, 01.02.2017

Ljubisa D.r. Kocinac Amani Sabah Moiz Ud Din Khan Djamila Seba

Öz

In this paper we study some covering properties in topological spaces by using semi-open covers. We introduce and investigate the properties
of s-Hurewicz and almost s-Hurewicz spaces and their star versions.

Anahtar Kelimeler

Semi-open set s-Hurewicz space star s-Hurewicz space

Kaynakça

  • Cameron, D.E., Woods, G. s-continuous and s-open mappings, Preprint, 1987.
  • Crossley, S.G., Hildebrand, S.K. Semi-closure, Texas J. Sei. 22, 99112, 1971.
  • Crossley, S.G., Hildebrand, S.K. Semi-topological properties, Fund. Math. 74 , 233254, 1972.
  • Di Maio, G., Noiri, T. Weak and strong forms of irresolute functions, Suppl. Rend. Circ. Math, Ser. II 18(3), 255273, 1988.
  • Dorsett, C. Semi-regular spaces, Soochow J. Math. 8 , 4553, 1982.
  • Hurewicz, W. Über die Verallgemeinerung des Borelschen Theorems, Math. Z. 24, 401-425, 1925.
  • Hurewicz, W. Über Folgen stetiger Functionen, Fund. Math. 9, 193204, 1927.
  • Kocinac, Lj.D.R. Star-Menger and related spaces, Publ. Math. Debrecen 55, 421431, 1999.
  • Kocinac, Lj.D.R. The Pixley-Roy topology and selection principles, Questions Answers Gen. Topology. 19, 219225, 2001.
  • Kocinac, Lj.D.R. Star selection principles: A survey, Khayyam J. Math. 1(1), 82106, 2015.
  • Levine, N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70(1), 3641, 1963.
  • Menger, K., Einige Überdeckungssätze der Punktmengenlehre, Sitzungsberichte Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik (Wiener Akademie, Wien) 133, 421444, 1924.
  • Njåstad, O. On some classes of nearly open sets, Pacic J. Math. 15 , 961970, 1965.
  • Noiri, T. On semi-continuous mappings, Atti Accad. Naz. Lincei, Ser. VIII 54(2), 210214, 1973.
  • Sabah, A., Moiz ud Din Khan, Ko£inac, Lj.D.R. Covering properties dened by semi-open sets, J. Nonlinear Sci. Appl. 9(6), 43884398, 2016.
  • Sakai, M. The weak Hurewicz property of Pixley-Roy hyperspaces, Topology Appl. 160, 25312537, 2013.
  • Scheepers, M. Combinatorics of open covers I: Ramsey theory, Topology Appl. 69, 3162, 1996.
  • Song, Y.K., Li, R. The almost Hurewicz spaces, Questions Answers Gen. Topology. 31, 131136, 2013.

Yıl 2017, Cilt: 46 Sayı: 1, 53 - 66, 01.02.2017

Ljubisa D.r. Kocinac Amani Sabah Moiz Ud Din Khan Djamila Seba

Öz

Kaynakça

  • Cameron, D.E., Woods, G. s-continuous and s-open mappings, Preprint, 1987.
  • Crossley, S.G., Hildebrand, S.K. Semi-closure, Texas J. Sei. 22, 99112, 1971.
  • Crossley, S.G., Hildebrand, S.K. Semi-topological properties, Fund. Math. 74 , 233254, 1972.
  • Di Maio, G., Noiri, T. Weak and strong forms of irresolute functions, Suppl. Rend. Circ. Math, Ser. II 18(3), 255273, 1988.
  • Dorsett, C. Semi-regular spaces, Soochow J. Math. 8 , 4553, 1982.
  • Hurewicz, W. Über die Verallgemeinerung des Borelschen Theorems, Math. Z. 24, 401-425, 1925.
  • Hurewicz, W. Über Folgen stetiger Functionen, Fund. Math. 9, 193204, 1927.
  • Kocinac, Lj.D.R. Star-Menger and related spaces, Publ. Math. Debrecen 55, 421431, 1999.
  • Kocinac, Lj.D.R. The Pixley-Roy topology and selection principles, Questions Answers Gen. Topology. 19, 219225, 2001.
  • Kocinac, Lj.D.R. Star selection principles: A survey, Khayyam J. Math. 1(1), 82106, 2015.
  • Levine, N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70(1), 3641, 1963.
  • Menger, K., Einige Überdeckungssätze der Punktmengenlehre, Sitzungsberichte Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik (Wiener Akademie, Wien) 133, 421444, 1924.
  • Njåstad, O. On some classes of nearly open sets, Pacic J. Math. 15 , 961970, 1965.
  • Noiri, T. On semi-continuous mappings, Atti Accad. Naz. Lincei, Ser. VIII 54(2), 210214, 1973.
  • Sabah, A., Moiz ud Din Khan, Ko£inac, Lj.D.R. Covering properties dened by semi-open sets, J. Nonlinear Sci. Appl. 9(6), 43884398, 2016.
  • Sakai, M. The weak Hurewicz property of Pixley-Roy hyperspaces, Topology Appl. 160, 25312537, 2013.
  • Scheepers, M. Combinatorics of open covers I: Ramsey theory, Topology Appl. 69, 3162, 1996.
  • Song, Y.K., Li, R. The almost Hurewicz spaces, Questions Answers Gen. Topology. 31, 131136, 2013.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Ljubisa D.r. Kocinac

Amani Sabah Bu kişi benim

Moiz Ud Din Khan

Djamila Seba Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 46 Sayı: 1

Kaynak Göster

APA Kocinac, L. D., Sabah, A., Khan, M. U. D., Seba, D. (2017). Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics, 46(1), 53-66.
AMA Kocinac LD, Sabah A, Khan MUD, Seba D. Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics. Şubat 2017;46(1):53-66.
Chicago Kocinac, Ljubisa D.r., Amani Sabah, Moiz Ud Din Khan, ve Djamila Seba. “Semi-Hurewicz Spaces”. Hacettepe Journal of Mathematics and Statistics 46, sy. 1 (Şubat 2017): 53-66.
EndNote Kocinac LD, Sabah A, Khan MUD, Seba D (01 Şubat 2017) Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics 46 1 53–66.
IEEE L. D. Kocinac, A. Sabah, M. U. D. Khan, ve D. Seba, “Semi-Hurewicz spaces”, Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 1, ss. 53–66, 2017.
ISNAD Kocinac, Ljubisa D.r. vd. “Semi-Hurewicz Spaces”. Hacettepe Journal of Mathematics and Statistics 46/1 (Şubat 2017), 53-66.
JAMA Kocinac LD, Sabah A, Khan MUD, Seba D. Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics. 2017;46:53–66.
MLA Kocinac, Ljubisa D.r. vd. “Semi-Hurewicz Spaces”. Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 1, 2017, ss. 53-66.
Vancouver Kocinac LD, Sabah A, Khan MUD, Seba D. Semi-Hurewicz spaces. Hacettepe Journal of Mathematics and Statistics. 2017;46(1):53-66.

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