On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces

We introduce the concept of a family of sets generating another family. Then we prove that if X is a topological space and X has W = {W(x): x a X} which is finitely generated by a countable family satisfying (F) which consists of families each Noetherian of omega-rank, then X is metaLindelof as well as a countable product of them. We also prove that if W satisfies omega-rank (F) and, for every x a X, W(x) is of the form W (0)(x) a(a) W (1)(x), where W (0)(x) is Noetherian and W (1)(x) consists of neighbourhoods of x, then X is metacompact.


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We study a family of primary affine variety codes defined from the Klein quartic. The duals of these codes have previously been treated in Kolluru et al., (Appl. Algebra Engrg. Comm. Comput. 10(6):433-464, 2000, Ex. 3.2). Among the codes that we construct almost all have parameters as good as the best known codes according to Grassl (2007) and in the remaining few cases the parameters are almost as good. To establish the code parameters we apply the footprint bound (Geil and HOholdt, IEEE Trans. Inform. The...
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This paper presents a multiple classifier system for text-independent speaker identification (SI). For the speaker identification problem, several different classifiers can be developed, each having strengths and weaknesses compared to the others. When the strengths and weaknesses of the individual classifiers do not overlap, i.e. a speaker which is misclassified by one classifier is correctly classified by some others, robust classification systems can be developed with the use of multiple classifiers. The...
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Cakiroglu, Yagmur; Yayla, Oğuz (Springer Science and Business Media LLC, 2020-06-01)
In this paper we study a family of Legendre sequences and its pseudo-randomness in terms of their family complexity. We present an improved lower bound on the family complexity of a family based on the Legendre symbol of polynomials over a finite field. The new bound depends on the LambertWfunction and the number of elements in a finite field belonging to its proper subfield. Moreover, we present another lower bound which is a simplified version and approximates the new bound. We show that both bounds are b...
Mapping class groups of nonorientable surfaces
Korkmaz, Mustafa (2002-02-01)
We obtain a finite set of generators for the mapping class group of a nonorientable surface with punctures. We then compute the first homology group of the mapping class group and certain subgroups of it. As an application we prove that the image of a homomorphism from the mapping class group of a nonorientable surface of genus at least nine to the group of real-analytic diffeomorphisms of the circle is either trivial or of order two.
Citation Formats
S. Önal, “On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces,” CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, pp. 1635–1642, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37378.