The groups of the semigroup of compact subsets of a topological group.
M. Gass (1991)
Semigroup forum
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M. Gass (1991)
Semigroup forum
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Heneri A. M. Dzinotyiweyi (1985)
Compositio Mathematica
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Neil Hindman, Paul Milnes (1988)
Czechoslovak Mathematical Journal
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Paul Milnes (1988)
Colloquium Mathematicae
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Milnes, Paul (1994)
International Journal of Mathematics and Mathematical Sciences
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W.A.F. Ruppert (1986)
Semigroup forum
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Michael Megrelishvili (2008)
Colloquium Mathematicae
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We show that for many natural topological groups G (including the group ℤ of integers) there exist compact metric G-spaces (cascades for G = ℤ) which are reflexively representable but not Hilbert representable. This answers a question of T. Downarowicz. The proof is based on a classical example of W. Rudin and its generalizations. A~crucial step in the proof is our recent result which states that every weakly almost periodic function on a compact G-flow X comes from a G-representation...
J. de Vries (1970)
Compositio Mathematica
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K.D. jr. Magill (1994)
Semigroup forum
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Khan, M.D. (1979)
Portugaliae mathematica
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