Let $S$ be the infinity category of spaces. In Higher Algebra 1.4.1.4 Lurie defines $S^{fin}$ as the smallest full subcategory of $S$ which contains the final object $*$ and is stable under finite colimits. Is it the case that the objects of $S^{fin}$ are just Sing X where X is finite sets of points?
2026-03-29 20:21:28.1774815688
definition of finite pointed spaces in Lurie Higher Algebra
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