Corps équivalents à leur corps de séries
Correció a l'article: "Analisi formalment recursiva".
Corrección del artículo del autor "Anàlisi formalment recursiva", publicado en Publicacions de la Secció de Matemàtiques de la UAB, 30 (2-3), p. 35-75 (1986).
Correction to: “A note on nonaxiomatizability of independence relations generated by certain probabilistic structures”
Correction to: Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
Correction to: Homological Dimension and Stationary Sets. Math. Z. 180, 1-9 (1982).
Correction to the paper “A notion of measure for classes in AST”
Correction to the paper: "A theorem on almost disjoint sets'' (Colloq. Math. 24 (1972), 1--2)
Correction to the paper: Covering by special Cantor sets
Correction to the paper: “Set-like equivalence and inner and outer cuts”
Correction to the paper "Two classes of measures''
Corrections : «Les dérivations analytiques»
Correspondance de Fréchet (1907-1926) et son apport à la théorie de la dimension (avec 3 lettres de Brouwer à Baire)
Correspondence between interval -equivalences and -functions
Corrigendum à l'article "Sur la construction de certaines MS-algèbres" (Port. Math., 39(1-4) (1980), 489-496)
Cotorsion-free algebras as endomorphism algebras in - the discrete and topological cases
The discrete algebras over a commutative ring which can be realized as the full endomorphism algebra of a torsion-free -module have been investigated by Dugas and Göbel under the additional set-theoretic axiom of constructibility, . Many interesting results have been obtained for cotorsion-free algebras but the proofs involve rather elaborate calculations in linear algebra. Here these results are rederived in a more natural topological setting and substantial generalizations to topological...
Countable Compact Scattered T₂ Spaces and Weak Forms of AC
We show that: (1) It is provable in ZF (i.e., Zermelo-Fraenkel set theory minus the Axiom of Choice AC) that every compact scattered T₂ topological space is zero-dimensional. (2) If every countable union of countable sets of reals is countable, then a countable compact T₂ space is scattered iff it is metrizable. (3) If the real line ℝ can be expressed as a well-ordered union of well-orderable sets, then every countable compact zero-dimensional T₂ space...
Countable dense homogeneity and λ-sets
We show that all sufficiently nice λ-sets are countable dense homogeneous (𝖢𝖣𝖧). From this fact we conclude that for every uncountable cardinal κ ≤ 𝔟 there is a countable dense homogeneous metric space of size κ. Moreover, the existence of a meager in itself countable dense homogeneous metric space of size κ is equivalent to the existence of a λ-set of size κ. On the other hand, it is consistent with the continuum arbitrarily large that every 𝖢𝖣𝖧 metric space has size either ω₁ or 𝔠. An...
Countable homogeneous coloured partial orders [Book]
Countable inductive definitions in AST
Countable modules