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Results tagged with stable-homotopy
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user 76299
Stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor.
5
votes
0
answers
212
views
Realizing the 0-th Postnikov truncation of a spectrum in the category of orthogonal/symmetri...
Suppose $E$ is a connective spectrum, then there exists a natural map in the stable homotopy category $\mathcal{SHC}$, $E \rightarrow P_0 E$, called the $0$-th Postnikov truncation, which is character …
- 2,303
4
votes
1
answer
170
views
Injectivity of assembly in A-theory for $BC_2 = \mathbb R P^\infty$ in degree $4$
I am trying to understand the assembly map
$$\pi_i ((BC_2)_+ \wedge A( \ast )) \rightarrow A_i( BC_2 ) $$
in low degrees for the space $BC_2 = \mathbb R P^\infty$ in Waldhausen $A$-theory. I know we h …
- 2,303