A survey on Seifert fiber space conjecture
Jean-Philippe Pr\'eaux

TL;DR
This paper reviews the history, motivations, and various generalizations of the Seifert fiber space conjecture, providing a comprehensive survey of its development in geometric topology.
Contribution
It offers a detailed overview of the conjecture's proof history, motivations, and extensions, consolidating existing knowledge in a single survey.
Findings
Summarizes the proof history of the conjecture
Highlights key motivations behind the conjecture
Discusses various generalizations of the conjecture
Abstract
We recall the history of the proof of Seifert fibre space conjecture, as well as it motivations and its several generalisations.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Finite Group Theory Research
