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Lahiri, B. K.
- On Translations of Sets in Topological Groups
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Authors
Affiliations
1 Indian Institute of Advanced Study, Simla-5, IN
1 Indian Institute of Advanced Study, Simla-5, IN
Source
The Journal of the Indian Mathematical Society, Vol 39, No 1-4 (1975), Pagination: 173-180Abstract
Various authors {[5], [6], [7]} have obtained results on transformations of sets in the n-dimensional Euclidean space. In this paper, we prove some of these results in a topological group. In proving one of the results {Theorem 5.2}, we require a theorem on density of sets in a topological group which we prove with the help of a Vitali type theorem as proved in [1] for invariant measure. The theorem on density of sets {Theorem 5.1} has some interest in itself. The notion of density of sets has been extended from classical one [4] to a metric space [2] and to a measure space [8] and Romanovski space [10] with the help of a Vitali type theorem in a measure space [9].- Density Topology in Romanovski Spaces
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Authors
P. K. Saha
1,
B. K. Lahiri
2
Affiliations
1 Department of Mathematics, University of North Bengal, Raja Rammohanpur, Darjeeling, West Bengal, IN
2 Department of Mathematics, University of Kalyani, Kalyani, West Bengal, IN
1 Department of Mathematics, University of North Bengal, Raja Rammohanpur, Darjeeling, West Bengal, IN
2 Department of Mathematics, University of Kalyani, Kalyani, West Bengal, IN