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Results tagged with at.algebraic-topology
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user 148383
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
0
answers
488
views
Quasi-isomorphism and homotopy equivalence between diagram of chain complex
Given two diagram of chain complex $C_*,D_*$(with field coefficient) and a map $f$ between them, assume there are filtration $F_1^*,F_2^*$ on this two diagram and $f$ respect filtration. Let $Gr(C_*), …
- 91
1
vote
2
answers
241
views
coset poset of reflection subgroup
Fix a finitely generated Coxeter system $(W, S)$, and let $W_J$ denote the standard
parabolic proper subgroup generated by a subset $J \subset S$. It is well
known that the poset of cosets $\{xW_J\}$ …
- 91
1
vote
0
answers
221
views
Cohomology of realization space of matroid
Do we know any thing about cohomology of realization space of matroid (the space of all set of vectors in $\mathbb{C}^k$ which captures the independence structure of matroid $M$), more simple, for uni …
- 91