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On simple recognizing of bounded sets

Jan Hejcman (1997)

Commentationes Mathematicae Universitatis Carolinae

We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.

On some cohomological properties of the Lie algebra of Euclidean motions

Marta Bakšová, Anton Dekrét (2009)

Mathematica Bohemica

The external derivative d on differential manifolds inspires graded operators on complexes of spaces Λ r g * , Λ r g * g , Λ r g * g * stated by g * dual to a Lie algebra g . Cohomological properties of these operators are studied in the case of the Lie algebra g = s e ( 3 ) of the Lie group of Euclidean motions.

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