The Quillen model category of topological spaces
Philip S. Hirschhorn

TL;DR
This paper provides a detailed proof of Quillen's theorem establishing the standard model category structure on topological spaces, making the concept accessible without prior knowledge of model categories.
Contribution
It offers a comprehensive, accessible proof of the model category structure on topological spaces, filling gaps for readers unfamiliar with the framework.
Findings
Confirmed the existence of the standard model structure on topological spaces
Provided a detailed, accessible proof of Quillen's theorem
Clarified foundational aspects of model categories in topology
Abstract
We give a complete and careful proof of Quillen's theorem on the existence of the standard model category structure on the category of topological spaces. We do not assume any familiarity with model categories.
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