Superextensions of metrizable continua are Hilbert cubes
The Freudenthal space for approximate systems of compacta and some applications.
In this paper we define a space σ(X) for approximate systems of compact spaces. The construction is due to H. Freudenthal for usual inverse sequences [4, p. 153–156]. We establish the following properties of this space: (1) The space σ(X) is a paracompact space, (2) Moreover, if X is an approximate sequence of compact (metric) spaces, then σ(X) is a compact (metric) space (Lemma 2.4). We give the following applications of the space σ(X): (3) If X is an approximate system of continua, then X = limX...
The irreducibility of continua which are the inverse limit of a collection of Hausdorff arcs
Ultrafiltres sur un espace spectral - Anneaux de Baer - Anneaux a spectre minimal compact.
Uniformly movable compact spaces and their algebraic properties
Using maximal ideals in the classification of MV-algebras
Weak-chainability of tree-like continua and the combinatorial properties of mappings
Zero-dimensional Dugundji spaces admit profinite lattice structures
We prove what the title says. It then follows that zero-dimensional Dugundji space are supercompact. Moreover, their Boolean algebras of clopen subsets turn out to be semigroup algebras.
Некоторые вопросы теории прямых и обратных спектров топологических групп
О спектральной разложимости топологических пространств
Построение спектра компактного пространства, содержащего данное топологическое пространство той же размерности
Теория A-пространств.
Характеризация шейпов компактов с помощью спектров из нервов покрытий