A note on Furstenberg's filtering problem

A compact G-space is called a G-boundary in the sense of Furstenberg ([F1, F2]) if X is minimal and strongly proximal, or equivalently if X is the unique minimal G-invariant

The aim is ambitious, since Hadjisavvas proposes to replace the usual « projection postulate » of quantum mechanics by a hopefully much more general one, based on

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In their proposal for an algebraic K-theory Karoubi and Villamayor attach functorially to every short exact sequence of rings.. 0-> A-^ B-^

4.. This completes the construction. Notice that we have not shown that S is uniquely ergodic. In fact there are minimal non uniquely ergodic homeomorphisms of a

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In this paper we shall describe the formulation and solution of a free boundary value problem in the framework of varia- tional inequalities.. satisfying there a given diffe-

As Borsuk-Ulam theorem implies the Brouwer fixed point theorem we can say that the existence of a simple and envy-free fair division relies on the Borsuk-Ulam theorem.. This