Lattice conditions and covering properties

LATTICE CONDITIONS AND COVERING PROPERTIES (Ph.D. Thesis) Çetin VURAL GAZI UNIVERSITY INSTUTE OF SCD2NCE AND TECHNOLOGY October 2002 ABSTRACT In this work, under some weaker condition, the relation between the system which satisfies (F)-condition and some cover property has been investigated. By defining a family which is generated by another family, we get some cover property of product spaces. Also we study on points k base poblem, which is a generalization of point-countable base problem. Then we show that each discrete family of a topological space having a system which satisfying K-rank (F)-condition has point< k extension. Science Code Key Words Page number Adviser : 403.04.01 : (F)-condition, (G)-condition, metacompact, point-countable. :57 : Assoc Prof. Dr. Süleyman ÖNAL