# Brown Representability and Spaces over a Category

@inproceedings{Brcenas2014BrownRA, title={Brown Representability and Spaces over a Category}, author={No{\'e} B{\'a}rcenas}, year={2014} }

We prove a Brown Representability Theorem in the context of spaces over a category. We discuss two applications to the representability of equivariant cohomology theories, with emphasis on Bredon cohomology with local coefficients.

## 2 Citations

The Completion Theorem in twisted equivariant $K$-Theory for proper and discrete actions

- Mathematics
- 2014

We compare different algebraic structures in twisted equivariant K-Theory for proper actions of discrete groups. After the construction of a module structure over untwisted equivariant K-Theory, we…

External Spanier-Whitehead duality and homology representation theorems for diagram spaces

- Mathematics
- 2019

We construct a Spanier-Whitehead type duality functor relating finite $\mathcal{C}$-spectra to finite $\mathcal{C}^{\mathrm{op}}$-spectra and prove that every $\mathcal{C}$-homology theory is given…

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