Yet another ideal version of the bounding number b

Speaker(s)

Rafał Filipów

Affiliation

Uniwersytet Gdański

Language of the talk

English

Date

Oct. 29, 2014, 4:15 p.m.

Room

room 5050

Title in Polish

Yet another ideal version of the bounding number b

Seminar

Topology and Set Theory Seminar

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We give a sufficient and necessary condition when the ideal pointwise convergence implies the ideal equal (aka quasi-normal) convergence. The characterization is expressed in terms of a cardinal coefficient related to the bounding number $\mathfrak{b}$. We examine this coefficient for nice ideals. I would like also to mention two other ideal versions of the bounding number (one introduced by Farkas an Soukup, and another introduced by Brendle). Moreover, I would like to present some results about  QN-spaces (introduced by Bukovsky-Reclaw-Repicky) and their ideal counterparts.

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