Research ArticleOpen accessIn the keywordsA Note on “The Homotopy Category is a Homotopy Category”Afework SolomonIn his paper with the title, “The Homotopy Category is a Homotopy Category”, Arne Strøm shows that the category Top of topo- logical spaces satisfies the axioms of an abstract homotopy category in the sense of Quillen. In this study, we show by examples that Quillen’s model structure on Top fails to capture some of the subtleties of classical homotopy … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 27 Aug 2019 · 6,939 accessesView PDFCite