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I teoremi di assolutezza in teoria degli insiemi: seconda parte

Alessandro Andretta (2003)

Bollettino dell'Unione Matematica Italiana

Questa è la seconda parte dell’articolo espositivo [A]. Qui vedremo come siapossibile utilizzare il forcinge gli assiomi forti dell’infinito per dimostrare nuovi teoremi sui numeri reali.

Ideal limits of sequences of continuous functions

Miklós Laczkovich, Ireneusz Recław (2009)

Fundamenta Mathematicae

We prove that for every Borel ideal, the ideal limits of sequences of continuous functions on a Polish space are of Baire class one if and only if the ideal does not contain a copy of Fin × Fin. In particular, this is true for $F_{σ δ}$ ideals. In the proof we use Borel determinacy for a game introduced by C. Laflamme.

Ideals induced by Tsirelson submeasures

Ilijas Farah (1999)

Fundamenta Mathematicae

We use Tsirelson’s Banach space ([2]) to define an $F_{σ}$ P-ideal which refutes a conjecture of Mazur and Kechris (see [12, 9, 8]).

Idempotence de l'opération de souslin

Richard Becker (1971/1973)

Séminaire Choquet. Initiation à l'analyse

Incomparable, non-isomorphic and minimal Banach spaces

Christian Rosendal (2004)

Fundamenta Mathematicae

A Banach space contains either a minimal subspace or a continuum of incomparable subspaces. General structure results for analytic equivalence relations are applied in the context of Banach spaces to show that if E₀ does not reduce to isomorphism of the subspaces of a space, in particular, if the subspaces of the space admit a classification up to isomorphism by real numbers, then any subspace with an unconditional basis is isomorphic to its square and hyperplanes, and the unconditional basis has...

Infinite asymptotic games

Christian Rosendal (2009)

Annales de l’institut Fourier

We study infinite asymptotic games in Banach spaces with a finite-dimensional decomposition (F.D.D.) and prove that analytic games are determined by characterising precisely the conditions for the players to have winning strategies. These results are applied to characterise spaces embeddable into $ℓ_{p}$ sums of finite dimensional spaces, extending results of Odell and Schlumprecht, and to study various notions of homogeneity of bases and Banach spaces. The results are related to questions of rapidity...

Currently displaying 1 – 9 of 9

Page 1

Displaying 1 – 9 of 9

I teoremi di assolutezza in teoria degli insiemi: seconda parte

Ideal limits of sequences of continuous functions

Ideals induced by Tsirelson submeasures

Idempotence de l'opération de souslin

Incomparable, non-isomorphic and minimal Banach spaces

Infinite asymptotic games

Invariant sets in topology and logic

Invariant uniformization

Iterated products of ideals of Borel sets

Currently displaying 1 – 9 of 9