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Results tagged with homological-algebra
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user 118688
(Co)chain complexes, abelian Categories, (pre)sheaves, (co)homology in various (possibly highly generalized) settings, spectra, derived functors, resolutions, spectral sequences, homotopy categories. Chain complexes in an abelian category form the heart of homological algebra.
3
votes
Algebra for algebraic topology
I think what you need is a book on Homological algebra that discusses some category theory, some homology and group cohomology. You can try
A Course in Homological algebra by Peter Hilton and Ur …
2
votes
0
answers
269
views
References for Homotopy transfer problem
I am trying to read Algebra+homotopy=operad by Bruno Vallette.
Consider the following set up :
chain complexes $(A,d_A),(H,d_H)$,
a degree $1$ morphism of chain complexes $h:(A,d_A)\rightarrow (A,d_A …
- 6,023
0
votes
1
answer
219
views
Understanding the definition of left homotopy as given in Quillen’s Homotopical algebra book
Given two topological spaces $X,Y$, and two maps $f,g:X\rightarrow Y$, there is a notion of homotopy between $f$ and $g$. It is given by a continuous map $H:X\times I\rightarrow Y$ such that the compo …
- 6,023