Irresolvable left topological groups

We prove that an irresolvable left topological group is of the first category. The pseudocharacter of an irresolvable left topological groupG is countable, provided thatG is Abelian or its cardinality is nonmeasurable. Some other cardinal invariants of an irresolvable left topological group are also determined. Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 758–765, June, 2000.     

Ochan topologies on the space of closed subgroups

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 10, pp. 1337–1342, October, 1989.     

A model for <Emphasis Type="Italic">A</Emphasis> = 3 antinuclei production in proton-nucleus collisions

A simple coalescence model based on the same diagrammatic approach of antimatter production in hadronic collisions as used previously for antideuterons is used here for the hadroproduction of mass-3 antinuclei. It is shown that the model is able to reproduce the existing experimental data on the and production without any additional parameter.Received: 28 January 2003, Revised: 10 July 2003, Published online: 18 November 2003PACS: 24.10.-i Nuclear reaction models and methods     

Brightness-Spectrum Characteristics of the Surface Laser Plasma of Polymeric Targets in the VUV Spectral Region

The brightness-spectrum and energy parameters in the VUV range of the spectrum (h 9–70 eV) of the surface laser plasma of polymeric targets in vacuum are determined experimentally. Using the experimental technology of double open and closed ionization chambers (as radiation detectors) requiring no absolute energy calibration in a wide range of regulation parameters of the effect of standard laser frequencies, we obtained new data on multifactor radiative gasdynamic processes of effect which are needed to determine emission and mass-output characteristics of the targets irradiated under vacuum.     

Discontinuous decomposition in quenched and deformed alloys

Discontinuous decomposition in quenched and deformed samples of the alloy Cu + 4.3% Ti has been studied by optical metallography and by electron metallography (with replicas and thin foils). The structure of the discontinuous-decomposition regions changes markedly during the continuous metastable decomposition in the matrix. Cells are nucleated within grains in the deformed samples at recrystallization nuclei.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 1, pp. 108–112, January, 1969.     

Ideals and free Pairs in the semigroup β ℤ

We prove that the equations ξ+x=mξ+y, x+ξ=y+mξ have no solutions in the semigroup β ? for every free ultrafilter ξ and every integer m∈0, 1. We study semigroups generated by the ultrafilters ξ, mξ. For left maximal idempotents, we prove a reduced hypothesis about elements of finite order in β ?.