External Spanier–Whitehead duality and homology representation theorems for diagram spaces
نویسندگان
چکیده
We construct a Spanier-Whitehead type duality functor relating finite $\mathcal{C}$-spectra to $\mathcal{C}^{\mathrm{op}}$-spectra and prove that every $\mathcal{C}$-homology theory is given by taking the homotopy groups of balanced smash product with fixed $\mathcal{C}^{\mathrm{op}}$-spectrum. use this Chern characters for certain rational theories.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2023
ISSN: ['1472-2739', '1472-2747']
DOI: https://doi.org/10.2140/agt.2023.23.155