Non-accessible points in extremally disconnected compact spaces I
Some remarks on embeddings of Boolean algebras and topological spaces
On asymptotic density and uniformly distributed sequences
Assuming Martin's axiom we show that if X is a dyadic space of weight at most continuum then every Radon measure on X admits a uniformly distributed sequence. This answers a problem posed by Mercourakis [10]. Our proof is based on an auxiliary result concerning finitely additive measures on ω and asymptotic density.
Solution of Kuratowski's problem on function having the Baire property, I
On minimal generators of σ-fields
Nonaccessible filters in measure algebras and functionals on
On order topology of spaces having uniform linearly ordered bases
On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets
On inhomogeneity of products of compact F-spaces
Fat P-sets in the Space ω*
We prove that-consistently-in the space ω* there are no P-sets with the ℂ-cc and any two fat P-sets with the ℂ⁺-cc are coabsolute.
An example of a nonseparable Banach algebra without nonseparable commutative subalgebras
Continuity of a homomorphism on commutative subalgebras is not sufficient for continuity
Selecting basic sequences in φ-stable Banach spaces
In this paper we make use of a new concept of φ-stability for Banach spaces, where φ is a function. If a Banach space X and the function φ satisfy some natural conditions, then X is saturated with subspaces that are φ-stable (cf. Lemma 2.1 and Corollary 7.8). In a φ-stable Banach space one can easily construct basic sequences which have a property P(φ) defined in terms of φ (cf. Theorem 4.5). This leads us, for appropriate functions φ, to new results on the existence of unconditional...
On decomposition of spaces on meager sets
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