Around splitting and reaping
نویسنده
چکیده
We prove several results on some cardinal invariants of the continuum which are closely related to either the splitting number s or its dual, the reaping number r.
منابع مشابه
Pair-splitting, Pair-reaping and Cardinal Invariants of Fσ-ideals
We investigate the pair-splitting number spair which is a variation of splitting number, pair-reaping number rpair which is a variation of reaping number and cardinal invariants of ideals on ω. We also study cardinal invariants of Fσ ideals and their upper bounds and lower bounds. As an application, we answer a question of S. Solecki by showing that the ideal of finitely chromatic graphs is not...
متن کاملOn Some New Ideals on the Cantor and Baire Spaces
We define and investigate some new ideals of subsets of the Cantor space and the Baire space. We show that combinatorial properties of these ideals can be described by the splitting and reaping cardinal numbers. We show that there exist perfect Luzin sets for these ideals on the Baire space.
متن کاملOn Shattering, Splitting and Reaping Partitions
In this article we investigate the dual-shattering cardinal H, the dualsplitting cardinal S and the dual-reaping cardinal R, which are dualizations of the well-known cardinals h (the shattering cardinal, also known as the distributivity number of P(ω)/fin), s (the splitting number) and r (the reaping number). Using some properties of the ideal J of nowhere dual-Ramsey sets, which is an ideal ov...
متن کاملInvestigating Different Methods of Closed Shell Pistachios Splitting and Effects of Freezing Prior to Drying on Shell Splitting Percentage
In this study, different methods for shell splitting and the effect of freezing prior to drying on shell splitting percentage of pistachio were investigated. A completely randomized design was used to investigate the effects of different freezing temperatures (0, -6, -12 and -18°C), different drying temperatures (80, 90 and 100°C) and different cultivars (Akbari and Kalehghouchi) on shell split...
متن کاملBystander Privacy in Lifelogging
Lifelogging, a technique for digitally gathering every moment in life using wearable cameras, is a growing phenomenon. However, it is important to remember that in addition to recording their own lives, users are recording others as well, which raises privacy issues around lifelogging from a bystander’s perspective. This warrants conducting bystander-focused privacy studies in an uncontrolled e...
متن کامل