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Results tagged with at.algebraic-topology
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user 27028
Homotopy theory, homological algebra, algebraic treatments of manifolds.
14
votes
1
answer
544
views
Homotopy fixed points of complex conjugation on $BU(n)$
Stably it is known that $(\mathbb Z\times BU)^{hC_2}\simeq \mathbb Z\times BO$ holds. The homotopy fixed point spectral sequence for KU with complex conjugation action can be completely calculated and …
- 403
4
votes
1
answer
562
views
Homotopy colimit of a simplicial DGA
It seems to be well-known that the homotopy colimit of a simplicial chain complex (unbounded) can be computed by taking the totalization of the associated (half-plane) double complex. The totalization …
- 403
2
votes
0
answers
213
views
Why is cellularization the fiber of nullification for slice cells?
I'm a bit confused about the nullification functors that come up when constructing the slice tower in HHR.
Let $\mathcal{A}$ be a set of compact objects in the $G$-equivariant stable homotopy category …
- 403
8
votes
1
answer
893
views
Representing KO-theory using Clifford algebras
I'm trying to understand a statement Segal makes in this book:
Let $C_q$ be the real Clifford algebra associated to the standard negative definite form on $\mathbb{R^q}$ and let $\Phi_q(n)$ be the sp …
- 403
2
votes
2
answers
391
views
Smashing with a cw-complex preserves weak equivalences between well-pointed spaces
By well-pointed i mean that the inclusion of the base point is a h-cofibration, weak equivalences are the usual weak homotopy equivalences between spaces.
this is claimed as part of theorem 6.9 (i) in …
- 403