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Countably compact topologies on Boolean rings. (Russian)
Authors: Ursul M. I., Tsarelunga B. I.
Abstract
In the paper is constructed for every $n=1,2,\dots, \chi_0$ an example of a Boolean ring which admits exactly $2^n$ countable compact topologies. Theorem. If $\{R_n\}_{n\in N}$ is a countable family of countable compact Boolean rings with a unique countable compact topology and its product $\prod_{n\in N}R_n$ is countable compact, then $\prod_{n\in N}R_n$ has a unique countable compact topology.Contents
- Countably compact topologies on Boolean rings. (Russian)
- Locally dissipative dynamical systems and some of their applications. (Russian)
- Conditions for the maximal multiplicity of an integral line of a differential system with homogeneities of $m$th order. (Russian)
- On the spectrum in the right half-plane of a class of operator pencils. (Russian)
- K-loops. (Russian)
- Groups of automorphisms of medial quasigroups and medial fields. (Russian)
- On the spectrum of perturbed differential operators with periodic coefficients. (Russian)
- Parametric completeness in the logic of the simplest pseudo-Boolean algebra with incomparable elements. (Russian)
- Coefficient conditions for the coexistence of two singular points of summed multiplicity 4 in a finite part of a phase plane of a quadratic system. (Russian)
- On the kinds of two-dimensional multiregular partitions. (Russian)
- On a class of nonlocal generalized splines. (Russian)
- On the number of near neighbors in regular partitions of Lobachevskij space by compact polyhedra. (Russian)
- An approximation algorithm for matroids with coalitions. (English)
- On finite projection of nonstationary $M/GI/1$ queueing systems. (English)
- Numerical modeling of the process of high-velocity penetration of an obstacle. (Russian)
