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The six operations in topology

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Bredon sheaf cohomology

math.KT · 2026-04-09 · unverdicted · novelty 8.0

Bredon sheaf cohomology computes algebraic K-theory of equivariant sheaves and equivariant E-theory of function algebras on G-spaces while satisfying a strong uniqueness theorem via open descent and compact codescent.

Compact sheaves on a locally compact space

math.AT · 2023-09-21 · unverdicted · novelty 5.0

Characterizes compact objects in Shv(X,C) for hypercomplete locally compact Hausdorff X and compactly generated stable C, recovering Neeman and showing compact generation iff X totally disconnected.

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  • Bredon sheaf cohomology math.KT · 2026-04-09 · unverdicted · none · ref 35

    Bredon sheaf cohomology computes algebraic K-theory of equivariant sheaves and equivariant E-theory of function algebras on G-spaces while satisfying a strong uniqueness theorem via open descent and compact codescent.