In this paper, countable compactness and the Lindel¨of propertyare defined for L-fuzzy sets, where L is a complete de Morgan algebra. Theydon’t rely on the structure of the basis lattice L and no distributivity is requiredin L. A fuzzy compact L-set is countably compact and has the Lindel¨ofproperty. An L-set having the Lindel¨of property is countably compact if andonly if it is fuzzy compact. ...

in this paper, countable compactness and the lindel¨of propertyare defined for l-fuzzy sets, where l is a complete de morgan algebra. theydon’t rely on the structure of the basis lattice l and no distributivity is requiredin l. a fuzzy compact l-set is countably compact and has the lindel¨ofproperty. an l-set having the lindel¨of property is countably compact if andonly if it is fuzzy compact. ...

In this paper, we prove a few facts and some cardinal properties of the space permutation degree introduced in [6]. More precisely, that if productXn is Lindel?f (resp. locally Lindel?f) space, then SPnX also Lindel?f). We product Xn weakly Moreover, investigate preservation network weight, ?-character local density topological spaces by functor G-permutation degree. It proved preserves infinit...

Gregor Breckle, Kurt Polborn, and Thomas Lindel Ludwig-Maximilians-Universität München, Department of Chemistry, Butenandtstr. 5Ð13, D-81377 Munich, Germany Reprint requests to Prof. Dr. Th. Lindel. Fax int: +(0)89/2180-7-7734. E-mail: [email protected] Z. Naturforsch. 58b, 451Ð456 2003; received February 17, 2003 The marine pyrrole-imidazole alkaloid sventrin (1) and the hither...

We show that small-bound isomorphisms of spaces affine continuous functions on Choquet simplices with Lindel?f boundaries induce Baire measurable bijections their sets extreme points.

A cardinal λ is called ω-inaccessible if for all µ < λ we have µ ω < λ. We show that for every ω-inaccessible cardinal λ there is a CCC (hence cardinality and cofinality preserving) forcing that adds a hereditarily Lindelöf regular space of density λ. This extends an analogous earlier result of ours that only worked for regular λ. In [1] we have shown that for any cardinal λ a natural CCC forci...

Motivated by the Arhangel?skii ?s-Lindel?f cardinal function? definition, Kocinac, Konca, Bonanzinga, Maesano and Singh defined studied set covering properties. In this paper, we study some versions of compact-type properties give partial solution to a problem posed in [11].