http://dx.doi.org/10.15446/recolma.v48n1.45195

¹Centro de Ciencias Matemáticas UNAM, Morelia, Michoacán, México. Email: barcenas@matmor.unam.mx

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.

Key words: Brown Representability, Spaces over a category, Bredon Cohomology with local coefficients.

Probamos un teorema de representabilidad de Brown en el contexto de espacios sobre una categoría. Discutimos dos aplicaciones a la representabilidad de teorías de cohomología, con énfasis en cohomología de Bredon con coeficientes locales.

Palabras clave: Representabilidad de Brown, espacios sobre una categoría, cohomología de Bredon con coeficientes locales.

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