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  1.  44
    First order logic without equality on relativized semantics.Amitayu Banerjee & Mohamed Khaled - 2018 - Annals of Pure and Applied Logic 169 (11):1227-1242.
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  2.  18
    Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse.Amitayu Banerjee - 2022 - Archive for Mathematical Logic 62 (3):369-399.
    We work with symmetric extensions based on Lévy collapse and extend a few results of Apter, Cody, and Koepke. We prove a conjecture of Dimitriou from her Ph.D. thesis. We also observe that if V is a model of $$\textsf {ZFC}$$ ZFC, then $$\textsf {DC}_{<\kappa }$$ DC < κ can be preserved in the symmetric extension of V in terms of symmetric system $$\langle {\mathbb {P}},{\mathcal {G}},{\mathcal {F}}\rangle $$ ⟨ P, G, F ⟩, if $${\mathbb {P}}$$ P is $$\kappa $$ (...)
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  3.  19
    Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse.Amitayu Banerjee - 2020 - Mathematical Logic Quarterly 66 (3):259-279.
    We improve on results and constructions by Apter, Dimitriou, Gitik, Hayut, Karagila, and Koepke concerning large cardinals, ultrafilters, and cofinalities without the axiom of choice. In particular, we show the consistency of the following statements from certain assumptions: the first supercompact cardinal can be the first uncountable regular cardinal, all successors of regular cardinals are Ramsey, every sequence of stationary sets in is mutually stationary, an infinitary Chang conjecture holds for the cardinals, and all are singular. In each of the (...)
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