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Geometry and Topology

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Algebraic topology, algebraic geometry, differential geometry, general topology, geometric topology, symplectic geometry, metric geometry, K-theory and homology || part of #mathematics-on:matrix.org28 Servers

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26 Sep 2024
@gm_z:matrix.orggm_z
In reply to @quantum:envs.net
Iirc the definition of a compactly generated space is one where the topology on that space is the final topology for some given set of functions K -> X
i was reading may and yeah he doesn't give this definition
00:23:45
@gm_z:matrix.orggm_ztrying to read the original paper by vogt (convenient categories of topological spaces for homotopy theory) and he says that category theorists know CG to be the kan extension of the inclusion Comp -> Top?00:31:59
@gm_z:matrix.orggm_zoh there's a description of kan extensions when the codomain is cocomplete using colimits00:35:24
@gm_z:matrix.orggm_z * oh there's a description of left kan extensions when the codomain is cocomplete using colimits00:37:15
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