
TL;DR
This paper establishes a duality between Stein spaces and Stein algebras, removing a finite dimensionality assumption from a key theorem, thus deepening the understanding of their categorical relationship.
Contribution
It proves the anti-equivalence between Stein spaces and Stein algebras without requiring finite dimensionality, extending Forster's theorem.
Findings
Category of Stein spaces is anti-equivalent to Stein algebras
Finite dimensionality hypothesis removed from Forster's theorem
Enhanced understanding of the duality between geometric and algebraic structures
Abstract
We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and -algebra morphisms. This removes a finite dimensionality hypothesis from a theorem of Forster.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra
