3 papers
math.LO2005
A theory of hyperfinite sets
P. V. Andreev, E. I. Gordon
We develop an axiomatic set theory -- the Theory of Hyperfinite Sets THS, which is based on the idea of existence of proper subclasses of big finite sets. We demonstrate how theore…
math.LO2003
On finite approximations of topological algebraic systems
L. Yu. Glebsky, E. I. Gordon, C. W. Henson
We introduce and discuss a definition of approximation of a topological algebraic system by finite algebraic systems of some class $\K$. For the case of a discrete algebraic sy…
math.GR2003
On approximation of topological groups by finite algebraic systems. II
L. Yu. Glebsky, E. I. Gordon, C. J. Rubio
Recall that a locally compact group G is called unimodular if the left Haar measure on G is equal to the right one. It is proved in this paper that G is unimodular iff it is approx…