𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weak saturation of ideals on Pκ(λ)

✍ Scribed by Pierre Matet

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
218 KB
Volume
57
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

We show that if κ is an infinite successor cardinal, and λ > κ a cardinal of cofinality less than κ satisfying certain conditions, then no (proper, fine, κ-complete) ideal on Pκ (λ) is weakly λ + -saturated.

📜 SIMILAR VOLUMES

Non-saturation of the non-stationary ide
Non-saturation of the non-stationary ideal on Pκ (λ) with λ of countable cofinality
✍ Pierre Matet 📂 Article 📅 2012 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## Abstract Given a regular uncountable cardinal κ and a cardinal λ > κ of cofinality ω, we show that the restriction of the non‐stationary ideal on __P__~κ~(λ) to the set of all __a__ with \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathrm{cf}(\sup (a\cap \kappa))

On λ(P, N)-nuclearity and operator ideal
On λ(P, N)-nuclearity and operator ideals
✍ Esa Nelimarkka 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 391 KB

On A(P, N)-nuclearity and operator ideals By ESA NELIMAECKJU of Helsinki (Finland) (Eingegangen am 3.3. 1980) Introduction. In [8] RAMANUJAN and TERZIOQLU defined A,(&)-nuclear locally convex spaces associated with a power series space &(a), and they showed that many of the stability properties whic

Destructibility of stationary subsets of
Destructibility of stationary subsets of Pκλ
✍ Sakaé Fuchino; Greg Piper 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB

For a regular cardinal κ with κ <κ = κ and κ ≤ λ, we construct generically (forcing by a < κ-closed κ + -c. c. p. o.-set P0) a subset S of {x ∈ Pκλ : x ∩ κ is a singular ordinal} such that S is stationary in a strong sense (F IA κ λ-stationary in our terminology) but the stationarity of S can be des

A partition property of a mixed type for
A partition property of a mixed type for Pκ(λ)
✍ Pierre Matet 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 249 KB

## Abstract Given a regular infinite cardinal __κ__ and a cardinal __λ__ > __κ__, we study fine ideals __H__ on __P__~__κ__~(__λ__) that satisfy the square brackets partition relation $ H^{+} {\mathop \rightarrow \limits^{\kappa}} [H^{+}]^{2}\_{\mu} $, where __μ__ is a cardinal ≥2. (© 2003 WILEY‐VC

Remarks on M-Ideals of Compact Operators
Remarks on M-Ideals of Compact Operators on X ⊕p X
✍ Eve Oja; Dirk Werner 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 473 KB

We characterize those BANACH spaces X for which K(X 0, X) is an M-ideal in L(X 0, X) by means of a variant of the compact metric approximation property. As a consequence we obtain that such a space X must be hereditarily P-rich.