Noetherian spaces in choiceless set theory
Jindrich Zapletal
TL;DR
This paper explores the properties of Noetherian spaces within the framework of choiceless set theory, providing independence results that distinguish between algebraic and non-algebraic implications of the axiom of choice.
Contribution
It introduces new independence results in ZF+DC that clarify the role of the axiom of choice in algebraic topology.
Findings
Separation of algebraic and non-algebraic consequences of choice
Independence results in choiceless set theory
Insights into Noetherian spaces without the axiom of choice
Abstract
I prove several independence results in the choiceless ZF+DC theory which separate algebraic and non-algebraic consequences of the axiom of choice.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Mathematical and Theoretical Analysis