we extend the notion of semigroup compactification to the class of transformation semigroups, and determine the compactifications which are universal with respect to some topological properties.

I n October 2001, a National Academies committee was convened to examine the responsibilities of authorship in the biological sciences. This blue ribbon group was drawn broadly from academia, the commercial sector, and scientific publishing and was chaired by Tom Cech, president of the Howard Hughes Medical Institute. The committee evaluated the responsibilities of authors to share data and mat...

The generalised structural arrangements of various bimolecule such as carbohydrates, proteins etc are based on the rules ofČech closure operator. In this paper we discuss the relationship betweeň Cech closure space and structural configuration of proteins.

We show that Haefliger's cohomology forétale groupoids, Moore's cohomology for locally compact groups and the Brauer group of a locally compact groupoid are all particular cases of sheaf (oř Cech) cohomology for topological simplicial spaces.

Thomas Cech shared the 1989 Nobel Prize for Chemistry with Sidney Altman (Enzymatic cleavage of RNA by RNA. Biosci. Rep. 10:317–337, 1990). That year we also published the lectures by the winners of the Physiology or Medicine prize: Harold E Varmus (Retroviruses and oncogenes I. Biosci. Rep. 10:413–430, 1990) and J Michael Bishop (Retroviruses and oncogenes II. Biosci. Rep. 10:473–491, 1990) an...

The aim of this work is to systematize the knowledge resulting from research on the impact of the feature selection on the quality of diagnostic procedures in the diagnosis of nonlinear systems. Particular attention was devoted to the selection of appropriate comparative criteria and optimization algorithms necessary for the selection of defects in the studied nonlinear systems, so that the inc...

The paper is concerned with the recognition of faces at application of different methods of global feature generation. We check the selected choice of transformations of images, leading to the numerical representation of the face image. The investigated approaches include the linear and nonlinear methods of transformation: principal component analysis (PCA), Kernel PCA, Fisher linear discrimina...

Magill's and Rayburn's theorems on the homeomorphism of Stone-ˇ Cech remainders and some of their generalizations to the remainders of arbitrary Hausdorff compactifications of Tychonoff spaces are extended to some class of mappings.