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Simplicial and combinatorial versions of higher symmetric topological complexity
Amit Kumar Paul, Debasis Sen
In this paper, we introduce higher symmetric simplicial complexity of a simplicial complex and higher symmetric combinatorial complexity of a finite pos…
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…
Note on Toda brackets
Samik Basu, David Blanc, Debasis Sen
We provide a general definition of Toda brackets in a pointed model categories, show how they serve as obstructions to rectification, and explain their relation to the classical st…
Higher structure in the unstable Adams spectral sequence
Samik Basu, David Blanc, Debasis Sen
We describe a variant construction of the unstable Adams spectral the sequence for a space , associated to any free simplicial resolution of for or $…