Dr. T. Hatice Yalvaç

( Professor of Topology )

e-mail: hayal@hacettepe.edu.tr

 

Research Interests:
On Point Set Topology , Types of Sets, Set Families, Continuity, Compactness, Filters.


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Publications

Research Papers:

  1. Fuzzy sets and functions on fuzzy spaces, J.Math. Anal.Appl. Vol. 126, No:2, 1987, 409-423

  2. Semi-interior and semi-closure of a fuzzy set, J: Math. Anal.Appl. Vol. 132 , No:2, 1988, 356-364

  3. On weak continuity and weak d -contiunity , Mathematica, Tome 19, No:2, 1990, 177-183

  4. Relations between the topologies O and ? O , Hacettepe Bull . Mat. Sci. Eng. Vol. 20, series B, 1991, 29-39

  5. On s-sets , H-sets , O- perfect functions , Acta Univ. Laxu. Matematika , 588 (1993), 49-57.

  6. Relations between new topologies obtained from old , Acta Math. Hungarica , 64 (3) (1994), 231-235.

  7. Decompositions of contiunity , Acta Math. Hungarica, 64 (3) (1994), 309-313.

  8. S-regular , semi-regular spaces and some related properties , Hacet. Bull. Nat. Sci. Eng. Vol. 23 Series B, 1994, 1-8.

  9. A short note on homeomorphism , Hacet. Bull. Nat. Sci. Eng. Vol. 24 ,series B , 1995, 1-2.

  10. Semi regular sets, semi- O -open sets and semi - O- connectedness, Demostratio Math. Vol.29, No 1, 1996, 1-6

  11. A Unified Approach to Compactness and Filters, Hacet. Bull. Nat. Sci. Eng. Vol. 29 Series B, 2000, 63-75.

  12. On some unifications, The First International Conference on Topology and its Applications, Istanbul 2000. We studied to unify some concepts similar to countable compactness.Hacet. Bull. Nat. Sci. eng. Vol. 30 Series B, 2001, 27-38

  13. A unified Theory on Some basic Topological Concepts. This paper was submitted in the International Conference on Topology and its Applications 2000- Macedonia. You can see the full text of the paper: (pdf) arXiv:0802.0981v1 [math.GN] 2008.

  14. A unified theory for continuities, Mat. Vesnik, 56, 2004, 1-12.

  15. A unified theory on Openness and Closedness of functions, Hacettepe J. Math. and Sta.. Vol. 34S, 2005, 15-26.

  16. Unification of some concepts similar to Lindelöf Property Mat. Vesnik, 56 (2004), 63-76.

  17. On j 1,2-countable compactness and filters,International Conference On Applicable General Topology,Ankara,Turkey,2001, Applied General Topology Vol:4, No:1, 2003, p:35-46.

  18. Unification of some separation axioms, Hacet. Bull. Nat. Sci. Eng. Vol. 31, Series B, 2002, 25-35.

  19. Relations between some topologies, Mat. Vesnik, 59, 2007, 85-95.

  20. With Tokgöz Seçil, Some characterizations of submaximality, Carpathian J. Math. 25 (2009) no.1, 128-137.

 

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Conferences and Meetings

  • The First Turkish International Conference on Topology and Its Applications, Istanbul, Turkey, 2000.

  • International Conference on Topology and Its Applications. Ohrid, Macedonia, 2000.

  • International Conference on Applicable General Topology, Ankara, Turkey, 2001.

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Courses Given

Undergraduate Courses:

Abstract Mathematics, Calculus, Metric Spaces, General Topology.

Graduate Courses:

Topology.

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Thesis Supervised

  • Tugba Gokcek, 'Generalized closed,semi generalized closed and generalized semi-closed sets', MSc. Thesis, H.U.1997.

  • Isın Kokdemir,'Unification of weak continuities and strong continuities', MSc. Thesis,H.U.2000.

  • Secil Cayırlı, 'Unification of compactness', MSc. Thesis, H.U.2001.

  • Murat Alpaslan, 'Ideals and topologies', MSc. Thesis, H.U.2003.

  • Onur Hoke, 'Unification of open functions and closed functions', MSc. Thesis, H.U.2004.

  • Secil Cayırlı-Tokgöz, 'Invariant properties in certain classes of topology', PhD. Thesis, H.U.2007.

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Hacettepe Üniversitesi Matematik Bölümü
06800 Beytepe Ankara