The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube”

I and I * -convergence in topological spaces

Benoy Kumar Lahiri, Pratulananda Das (2005)

Mathematica Bohemica

Similarity:

We extend the idea of I -convergence and I * -convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.

Strong tightness as a condition of weak and almost sure convergence

Grzegorz Krupa, Wiesław Zieba (1996)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

A sequence of random elements { X j , j J } is called strongly tight if for an arbitrary ϵ > 0 there exists a compact set K such that P j J [ X j K ] > 1 - ϵ . For the Polish space valued sequences of random elements we show that almost sure convergence of { X n } as well as weak convergence of randomly indexed sequence { X τ } assure strong tightness of { X n , n } . For L 1 bounded Banach space valued asymptotic martingales strong tightness also turns out to the sufficient condition of convergence. A sequence of r.e. { X n , n } is said to converge essentially...