Splitting invariants (Ex)
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Marek Kaluba (Talk | contribs)
(Created page with "<wikitex>; Prove that two maps $f_1,f_2 \colon \mathbb{C}P^n \to G/PL$ are homotopic iff their splitting invariants agree for $2 \leq i \leq n$. Use the exact sequence $$L_{2...")
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(Created page with "<wikitex>; Prove that two maps $f_1,f_2 \colon \mathbb{C}P^n \to G/PL$ are homotopic iff their splitting invariants agree for $2 \leq i \leq n$. Use the exact sequence $$L_{2...")
Newer edit →
Revision as of 14:22, 23 March 2012
Prove that two maps are homotopic iff their splitting invariants agree for .
Use the exact sequence
and the fact that the surgery obstruction map
splits the above sequence for . Additionally and the isomorphism is given by the surgery obstruction map.