We define a space (X,T) to be I-Lindelof if every cover of X by regular closed subsets of the space (X,T) contains a countable subfamily ′ such that X = {int(A) : A ∈ ′}. We provide several characterizations of I-Lindelof spaces and relate them to some other previously known classes of spaces, for example, rc-Lindelof, nearly Lindelof, and so forth. Our study here of I-Lindelof spaces also deal...

in the present paper we introduce and study the notion of pairwise weakly lindelof bitopological spaces and obtain some results. further, we also study the pairwise weakly lindelof subspaces and subsets, and investigate some of their properties. it was proved that a pairwise weakly lindelof property is not a hereditary property.

As is well known the category of paracompact spaces is important in algebraic topology and the theory of fiber spaces. The following question arises naturally. If a space (Hausdorff space) B is paracompact, is the space of paths B1 (I = [0, l]), with, of course, the compact-open topology, also paracompact? The following simple example answers the question in the negative. Let X denote the set o...

We study this and associated theorems in the context of a logmodular function algebra and, in particular, in the Banach algebra, H, of bounded analytic functions on D. Those multiplicative linear functionals (homomorphisms) on if which are in the weak* closure of some Stolz angle at 1 are called Stolz homomorphisms. We call a homomorphism h a Lindelof homomorphism provided h(f) = 0 whenever ess...

The behavior of various types of noncompact covering properties such as paracompactness, metacompactness, subparacompactness, submetacompactness, etc., are studied under various types of fuzzy mappings such as open map, closed map, perfect map, etc. Moreover the concept of para-Lindelof space is introduced in L-topological spaces and its properties and behavior under maps are obtained.

Electric-field controlled spin reversal in a quantum dot with ferromagnetic contacts Hauptmann, Jonas Rahlf; Paaske, Jens; Lindelof, Poul Erik Published in: Nature Physics DOI: 10.1038/nphys931 Publication date: 2008 Document Version Early version, also known as pre-print Citation for published version (APA): Hauptmann, J. R., Paaske, J., & Lindelof, P. E. (2008). Electric-field controlled spin...

In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.

The purpose of this paper is to introduce the concepts of semi*-connected spaces, semi*-compact spaces and semi*-Lindelof spaces. We investigate their basic properties. We also discuss their relationship with already existing concepts. Mathematics Subject Classification: 54D05, 54D30.