Displaying similar documents to “Some new results about Brooks-Jewett and Dieudonné-type theorems in ( l ) -groups”

μ -statistically convergent function sequences

Oktay Duman, Cihan Orhan (2004)

Czechoslovak Mathematical Journal

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In the present paper we are concerned with convergence in μ -density and μ -statistical convergence of sequences of functions defined on a subset D of real numbers, where μ is a finitely additive measure. Particularly, we introduce the concepts of μ -statistical uniform convergence and μ -statistical pointwise convergence, and observe that μ -statistical uniform convergence inherits the basic properties of uniform convergence.

Spaces not distinguishing convergences

Miroslav Repický (2000)

Commentationes Mathematicae Universitatis Carolinae

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In the present paper we introduce a convergence condition ( Σ ' ) and continue the study of “not distinguish” for various kinds of convergence of sequences of real functions on a topological space started in [2] and [3]. We compute cardinal invariants associated with introduced properties of spaces.