<p>It was demonstrated in [2] that the Alexandroff duplicate of Čech-Stone compactification naturals is not extremally disconnected. The question raised as to whether a non-discrete disconnected space can ever be We answer this affirmative; an example van Douwen significant. In slightly different direction we also characterize when P-space well it almost P-space.</p>

Themain aim of this paper is to provide a construction of the Banaschewski compactification of a zero-dimensional Hausdorff topological space as a structure space of a ring of ordered field-valued continuous functions on the space, and thereby exhibit the independence of the construction from any completeness axiom for an ordered field. In the process of describing this construction we have gen...

This paper presents issues related to modeling and optimization of the feature generator for the speaker recognition system (ASR – Automatic Speakers Recognition). The parameterization stage of generating a speech signal (features generation) is fundamental in this type of system because the unique vector of features is crucial in the process of speech recognition. The task is to describe the s...

The Royden ideal boundary of a domain is the set of all points in the maximal ideal space of the domain's Royden algebra that do not lie in the domain. Elements of the Royden ideal boundary can be characterized as nets convergent in both the weak and Euclidean topologies that have no subnet which is a sequence. As with other function algebras, boundary bers can be deened as subsets of all point...

The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in number ways, including as colimit homeomorphism groups with given compact support, or subgroup the its Stone-\v{C}ech compactification. A is said to have Compactly Supported Homeomorphism Property (CSHP) if these two topologies coincide. authors provide necessary and sufficient conditions for finite produ...

Streszczenie. W artykule przedstawiono metodykę badań, których celem jest wyznaczenie istotnych (z punktu widzenia rozpoznawania) cech obiektów. Odpowiednie eksperymenty przeprowadzono przy pomocy aparatury OBER2, służącej do rejestracji ruchu oczu człowieka. Zaplanowano i zrealizowano eksperymenty rozpoznawania ręcznie pisanych cyfr oraz opisano metodę lokalizacji cech na podstawie dwóch wskaź...

The main purpose of this paper is to establish a relation between universality of certain P-compactifications of a semitopological semigroup and their corresponding enveloping semigroups. In particular, we show that if we take P to be the property that the enveloping semigroup of a compactification of a semitopological semigroup s is left simple, a group, or the trivial singleton semigroup, t...