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math.CO2024
Some monochromatic patterns in natural numbers
Arpita Ghosh, Surojit Ghosh
The set of sums of two squares plays a significant role in elementary number theory. In this article, we establish the existence of several rich monochromatic configurations in the…
math.AT2024
Good objects in the equivariant world
Surojit Ghosh, Bikramjit Kundu
This article explores equivariant localization in the category of -spaces, where is a compact Lie group. We establish a commutation rule for the localization functor and the…
math.AT2024
Homotopy types of diagrams of chain complexes
David Blanc, Surojit Ghosh, Aziz Kharoof
We study the homotopy theory of diagrams of chain complexes over a field indexed by a finite poset, and show that it can be completely described in terms of appropriate diagrams of…