Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 48 Sayı: 4, 1079 - 1091, 08.08.2019

Öz

Kaynakça

  • [1] D. Andrijević, M. Jelić and M. Mršević, Some properties of Hyperspaces of Čech closure spaces with Vietoris-like Topologies, Filomat, 24 (4), 53–61, 2010.
  • [2] D. Andrijević, M. Jelić and M. Mršević, On function spaces topologies in the setting of Čech closure spaces, Topology Appl. 158, 1390–1395, 2011.
  • [3] D.C.J. Burgess and S.D. McCartan, Order-continuous functions and order-connected spaces, Proc. Camb. Phill. Soc. 68, 27–31, 1970.
  • [4] E. Čech, Topological spaces, Czechoslovak Acad. of Sciences, Prague, 1966.
  • [5] İ Eroğlu and E. Güner, Separation axioms in Čech closure ordered spaces, Commun. Fac. Sci. Univ. Ank. Ser A1 Math. Stat. 65 (2), 1–10, 2016.
  • [6] A.S. Mashhour and M.H. Ghanim, On closure spaces, Indian J. Pure Appl. Math. 14 (6), 680–691, 1983.
  • [7] S.D. McCartan, A quotient ordered spaces, Proc. Camb. Phill. Soc. 64, 317–322, 1968
  • [8] S.D. McCartan, Separation axioms for topological ordered spaces, Proc. Camb. Phill. Soc. 64, 965–973, 1968.
  • [9] S.D. McCartan, Bicontinuous preordered topological spaces, Pasific J. Math. 38, 523– 529, 1971.
  • [10] E. Minguzzi, Normally Preordered Spaces and Utilities, Order, 30, 137–150, 2013.
  • [11] M. Mršević, Proper and admissible topologies in closure spaces, Indian J. Pure Appl. Math. 36, 613–627, 2005.
  • [12] M. Mršević and D. Andrijević, On θ-connectednes and θ-closure spaces, Topology Appl. 123, 157–166, 2002.
  • [13] M. Mršević and M. Jelić, Selection principles in hyperspaces with generalized Vietoris topologies, Topology Appl. 156, 124–129, 2008.
  • [14] L. Nachbin, Topology and order, Van Nonstrand Mathematical Studies 4, Princeton, 1965.
  • [15] K.R. Nailana, Ordered Spaces and Quasi-Uniformities on Spaces of Continuous Order-Preserving Functions, Extracta Math. 15 (3), 513–530, 2000.
  • [16] W. Page, Topological Uniform Structures, Dover Publications Inc. New York, 1989.
  • [17] H.A. Priestly and B.A. Davey, Introduction to Lattices and Order, Cambridge University Press, Cambridge, 1990.
  • [18] C.K. Rao, R. Gowri and V. Swaminathan, Čech Closure Space in Structural Configuration of Proteins, Adv. Stud. in Biol. 1 (2), 95–104, 2009.
  • [19] J. Slapal, A digital anologue of the Jordan Curve theorem, Discrete Appl. Math. 139, 231–251, 2004.
  • [20] J. Williams, Locally Uniform Spaces, Trans. Amer. Math. Soc. 168, 435–469, 1972.

Some ordered function space topologies and ordered semi-uniformizability

Yıl 2019, Cilt: 48 Sayı: 4, 1079 - 1091, 08.08.2019

Öz

In this work, we define some Čech based ordered function space topologies and we introduce ordered semi-uniformizability. Then we investigate ordered semi-uniformizability of the ordered function space topologies such as compact-open (interior) and point-open (interior) ordered topologies.

Kaynakça

  • [1] D. Andrijević, M. Jelić and M. Mršević, Some properties of Hyperspaces of Čech closure spaces with Vietoris-like Topologies, Filomat, 24 (4), 53–61, 2010.
  • [2] D. Andrijević, M. Jelić and M. Mršević, On function spaces topologies in the setting of Čech closure spaces, Topology Appl. 158, 1390–1395, 2011.
  • [3] D.C.J. Burgess and S.D. McCartan, Order-continuous functions and order-connected spaces, Proc. Camb. Phill. Soc. 68, 27–31, 1970.
  • [4] E. Čech, Topological spaces, Czechoslovak Acad. of Sciences, Prague, 1966.
  • [5] İ Eroğlu and E. Güner, Separation axioms in Čech closure ordered spaces, Commun. Fac. Sci. Univ. Ank. Ser A1 Math. Stat. 65 (2), 1–10, 2016.
  • [6] A.S. Mashhour and M.H. Ghanim, On closure spaces, Indian J. Pure Appl. Math. 14 (6), 680–691, 1983.
  • [7] S.D. McCartan, A quotient ordered spaces, Proc. Camb. Phill. Soc. 64, 317–322, 1968
  • [8] S.D. McCartan, Separation axioms for topological ordered spaces, Proc. Camb. Phill. Soc. 64, 965–973, 1968.
  • [9] S.D. McCartan, Bicontinuous preordered topological spaces, Pasific J. Math. 38, 523– 529, 1971.
  • [10] E. Minguzzi, Normally Preordered Spaces and Utilities, Order, 30, 137–150, 2013.
  • [11] M. Mršević, Proper and admissible topologies in closure spaces, Indian J. Pure Appl. Math. 36, 613–627, 2005.
  • [12] M. Mršević and D. Andrijević, On θ-connectednes and θ-closure spaces, Topology Appl. 123, 157–166, 2002.
  • [13] M. Mršević and M. Jelić, Selection principles in hyperspaces with generalized Vietoris topologies, Topology Appl. 156, 124–129, 2008.
  • [14] L. Nachbin, Topology and order, Van Nonstrand Mathematical Studies 4, Princeton, 1965.
  • [15] K.R. Nailana, Ordered Spaces and Quasi-Uniformities on Spaces of Continuous Order-Preserving Functions, Extracta Math. 15 (3), 513–530, 2000.
  • [16] W. Page, Topological Uniform Structures, Dover Publications Inc. New York, 1989.
  • [17] H.A. Priestly and B.A. Davey, Introduction to Lattices and Order, Cambridge University Press, Cambridge, 1990.
  • [18] C.K. Rao, R. Gowri and V. Swaminathan, Čech Closure Space in Structural Configuration of Proteins, Adv. Stud. in Biol. 1 (2), 95–104, 2009.
  • [19] J. Slapal, A digital anologue of the Jordan Curve theorem, Discrete Appl. Math. 139, 231–251, 2004.
  • [20] J. Williams, Locally Uniform Spaces, Trans. Amer. Math. Soc. 168, 435–469, 1972.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

İrem Eroğlu Bu kişi benim 0000-0002-0327-781X

Erdal Güner 0000-0003-4749-1321

Yayımlanma Tarihi 8 Ağustos 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 48 Sayı: 4

Kaynak Göster

APA Eroğlu, İ., & Güner, E. (2019). Some ordered function space topologies and ordered semi-uniformizability. Hacettepe Journal of Mathematics and Statistics, 48(4), 1079-1091.
AMA Eroğlu İ, Güner E. Some ordered function space topologies and ordered semi-uniformizability. Hacettepe Journal of Mathematics and Statistics. Ağustos 2019;48(4):1079-1091.
Chicago Eroğlu, İrem, ve Erdal Güner. “Some Ordered Function Space Topologies and Ordered Semi-Uniformizability”. Hacettepe Journal of Mathematics and Statistics 48, sy. 4 (Ağustos 2019): 1079-91.
EndNote Eroğlu İ, Güner E (01 Ağustos 2019) Some ordered function space topologies and ordered semi-uniformizability. Hacettepe Journal of Mathematics and Statistics 48 4 1079–1091.
IEEE İ. Eroğlu ve E. Güner, “Some ordered function space topologies and ordered semi-uniformizability”, Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 4, ss. 1079–1091, 2019.
ISNAD Eroğlu, İrem - Güner, Erdal. “Some Ordered Function Space Topologies and Ordered Semi-Uniformizability”. Hacettepe Journal of Mathematics and Statistics 48/4 (Ağustos 2019), 1079-1091.
JAMA Eroğlu İ, Güner E. Some ordered function space topologies and ordered semi-uniformizability. Hacettepe Journal of Mathematics and Statistics. 2019;48:1079–1091.
MLA Eroğlu, İrem ve Erdal Güner. “Some Ordered Function Space Topologies and Ordered Semi-Uniformizability”. Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 4, 2019, ss. 1079-91.
Vancouver Eroğlu İ, Güner E. Some ordered function space topologies and ordered semi-uniformizability. Hacettepe Journal of Mathematics and Statistics. 2019;48(4):1079-91.