Ideal convergence of bounded sequences
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Abstract (EN)
We generalize the Bolzano-Weierstrass theorem (that every bounded sequence of reals admits a convergent subsequence) on ideal convergence. We show examples of ideals with and without Bolzano-Weierstrass property, and give characterizations of BW property in terms of submeasures and extendability to a maximal P-ideal. We show applications to the various orderings of ideals and its Boolean algebras.
Author
Nurcan Aşılar
How to Cite
Nurcan Aşılar (Master Thesis). Ideal convergence of bounded sequences, 2008, Afyon Kocatepe University.
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