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math.FA2019
On nonmeasurable subgroups in generalized measurable structures
S. Basu, D. Sen
In this paper, we prove a result on nonmeasurable subgroups in commutative Polish groups with respect to more generalized structures than sigma-finite measures.
math.AT2019
An upper bound for higher topological complexity and higher strongly equivariant complexity
Amit Kumar Paul, Debasis Sen
We prove an upper bound of higher topological complexity using higher -topological complexity of a space . An intermediate invaria…
math.FA2019
A Nonseparable Invariant Extension of Lebesgue Measure -- A Generalized and Abstract Approach
Sanjib Basu, Debashish Sen
Here using some methods of combinatorial set theory, particularly the ones related to the construction of independent families of sets and some modified version of the notion of sm…