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math.LO2024
A Reverse Mathematical Analysis of Hilbert's Nullstellensatz and Basis Theorem
Dhruv Kulshreshtha
This paper presents an expository reverse-mathematical analysis of two fundamental theorems in commutative algebra: Hilbert's Nullstellensatz and Basis Theorem. In addition to its…
math.GN2024
The homeomorphisms of the Sierpiński carpet are not classifiable by countable structures
Dhruv Kulshreshtha, Aristotelis Panagiotopoulos
We show that the homeomorphisms of the Sierpiński carpet are not classifiable, up to conjugacy, using isomorphism types of countable structures as invariants.