Atlas: On ${\bf A}$-splitting and ${\bf A}$-admissible topologies on function spaces by D.N. Georgiou

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II Workshop on Coverings, Selections and Games in Topology
December 19-22, 2005
University of Lecce
Lecce, Italy

Organizers
(Organizing Committee) Cosimo Guido, Anna Frascella, Domenico Lenzi, Gabriella Zammillo. (Scientific Committee) Liljana Babinkostova, Cosimo Guido, Ljubisa Kocinac, Marion Scheepers, Boaz Tsaban

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On A-splitting and A-admissible topologies on function spaces
by
D.N. Georgiou
University of Patras, Department of Mathematics, 265 00 Patras, Greece.
Coauthors: S.D. Iliadis

We consider the A-splitting and A-admissible topologies (see [1]) on function spaces, where A is an Alexandroff space (that is A is a space with the property that the intersection of any number of open sets is open). The given results generalize that of [2] and [3].

[1] D.N. Georgiou, S.D. Iliadis, and B.K. Papadopoulos, Topologies of function spaces. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 208 (1993), Issled. po Topol. 7, 82-97, 220; translation in J. Math. Sci. 81 (1996), no. 2, 2506-2514.

[2] D.N. Georgiou, S.D. Iliadis, and B.K. Papadopoulos, Topologies and orders on function spaces, Publ. Math. Debrecen 46/1-2 (1995), 1-10.

[3] D.N. Georgiou, S.D. Iliadis, and B.K. Papadopoulos, Topologies and n-relations on function spaces, Appl. Gen. Topol. 4(2003), no.2, 467-474.

The research is funded by the European Social Fund (ESF), Operational Program for Educational and Vocational Training II (EPEAEK II), and particularly the Program PYTHAGORAS.

Date received: October 19, 2005