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arXiv · 2506.16487

\v{C}ech cohomology of infinite projective spaces, flag manifolds, and related spaces

David Anderson·Matthias Franz
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Abstract

We compute the \v{C}ech cohomology ring of a countable product of infinite projective spaces, and that of an infinite flag manifold. The method of our first result in fact computes the cohomology ring of a countably infinite product of paracompact Hausdorff spaces, under some mild assumptions.

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David Anderson, Matthias Franz. 2025-06-19. \v{C}ech cohomology of infinite projective spaces, flag manifolds, and related spaces. https://doi.org/10.4153/s0008439525101562

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