2000 character limit reached
Topological characterization of various types of rings of smooth functions
Published 30 Aug 2011 in math.DG | (1108.5885v2)
Abstract: Topologies on algebraic and equational theories are used to define germ determined, near-point determined, and point determined rings of smooth functions, without requiring them to be finitely generated. It is proved, that any commutative algebra morphism (without requiring continuity) between near-point determined rings of smooth functions is smooth (and hence continuous).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.