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Andrius Kulikauskas

  • m a t h 4 w i s d o m - g m a i l
  • +370 607 27 665
  • My work is in the Public Domain for all to share freely.

用中文

  • 读物 书 影片 维基百科

Introduction E9F5FC

Questions FFFFC0

Software


Divisions, Grothendieck six operations, Adjunction

How do derived functors express the threesome?


導出函子


  • Understand how derived functors relate the three-cycle and the foursome.
  • Understand how derived functors relate the four functors on sheaves to the foursome
  • Understand how setting {$R^2F=0$} yields the gradation and the eightfold way.
  • What does it mean to compute the cohomology at the {$i$}th spot? This yields {$RF$}.

读物

Threesome, zigzag lemma, derived functors

Derived functors.

  • The above-mentioned property of turning short exact sequences into long exact sequences is a consequence of the snake lemma.

Threesome

  • Does the super Jacobi identity have any significance?
  • Let {$ p:E\to B$} be a basepoint-preserving Serre fibration with fiber {$F$}, that is, a map possessing the homotopy lifting property with respect to CW complexes. Suppose that B is path-connected. Then there is a long exact sequence of homotopy groups ... Infinite three-cycle.
  • Cross product as example of Jacobi identity and three-cycle.
  • Learning strips off deviation one dimension at a time, as in homology, long exact sequences.
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This page was last changed on October 03, 2023, at 03:01 PM