𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Summable gaps

✍ Scribed by James Hirschorn

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
551 KB
Volume
120
Category
Article
ISSN
0168-0072

No coin nor oath required. For personal study only.

✦ Synopsis

It is proved, under Martin's Axiom, that all (!1; !1) gaps in P(N)=ΓΏn are indestructible in any forcing extension by a separable measure algebra. This naturally leads to a new type of gap, a summable gap. The results of these investigations have applications in Descriptive Set Theory. For example, it is shown that under Martin's Axiom the Baire categoricity of all 1 3 non-1 3 -complete sets of reals requires a weakly compact cardinal.

πŸ“œ SIMILAR VOLUMES

Jacobi summability
Jacobi summability
✍ Richard Askey πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 267 KB
On Unbounded p-Summable Fredholm Modules
On Unbounded p-Summable Fredholm Modules
✍ A.L. Carey; J. Phillips; F.A. Sukochev πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 180 KB

We prove that odd unbounded p-summable Fredholm modules are also bounded p-summable Fredholm modules (this is the odd counterpart of a result of A. Connes for the case of even Fredholm modules). The approach we use is via estimates of the form an unbounded linear operator affiliated with a semifini

Lacunary Statistical Summability
Lacunary Statistical Summability
✍ J.A. Fridy; C. Orhan πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 225 KB
Lincolnshire – gaps and more gaps
Lincolnshire – gaps and more gaps
✍ Allan Straw πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 365 KB

The history of the possible flows of rivers through the Lincoln and Ancaster Gaps, and other gaps in Lincoln Edge and the Lincolnshire Wolds, is far from settled; puzzles remain. Quaternary geology influenced the geomorphological phenomena above.