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42 The Tor functor
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This is episode 42 of a course on algebraic topology.
The Tor functor measures the defect of the tensor product from left-exactness.
Outline:
00:00 Start
00:22 Def.: i-th Tor-group
16:10 Prop.: Relation between Tensor product und Tor functor
19:56 Thm.: LES for Tor
26:34 Horseshoe lemma
37:08 Pop.: Properties of Tor
The Tor functor measures the defect of the tensor product from left-exactness.
Outline:
00:00 Start
00:22 Def.: i-th Tor-group
16:10 Prop.: Relation between Tensor product und Tor functor
19:56 Thm.: LES for Tor
26:34 Horseshoe lemma
37:08 Pop.: Properties of Tor
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