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pro vyhledávání: '"Kulshreshtha, Dhruv"'
Autor:
Kulshreshtha, Dhruv
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 profound significance in commutative algebra and algebraic geometry, t
Externí odkaz:
http://arxiv.org/abs/2406.01336
We show that the homeomorphisms of the Sierpi\'nski carpet are not classifiable, up to conjugacy, using isomorphism types of countable structures as invariants.
Comment: 13 pages, 6 figures
Comment: 13 pages, 6 figures
Externí odkaz:
http://arxiv.org/abs/2404.01472
Autor:
Blass, Andreas, Kulshreshtha, Dhruv
We consider several notions of well-foundedness of cardinals in the absence of the Axiom of Choice. Some of these have been conflated by some authors, but we separate them carefully. We then consider implications among these, and also between these a
Externí odkaz:
http://arxiv.org/abs/2310.09643
We work in the setting of Zermelo-Fraenkel set theory without assuming the Axiom of Choice. We consider sets with the Boolean operations together with the additional structure of comparing cardinality (in the Cantorian sense of injections). What prin
Externí odkaz:
http://arxiv.org/abs/2211.03976