A note on the general cohomology theory
Wu, Ta-Sun (1959)
Portugaliae mathematica
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Wu, Ta-Sun (1959)
Portugaliae mathematica
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Umed Karimov, Dušan Repovš (1998)
Colloquium Mathematicae
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A topological space X is called an -bubble (n is a natural number, is Čech cohomology with integer coefficients) if its n-dimensional cohomology is nontrivial and the n-dimensional cohomology of every proper subspace is trivial. The main results of our paper are: (1) Any compact metrizable -bubble is locally connected; (2) There exists a 2-dimensional 2-acyclic compact metrizable ANR which does not contain any -bubbles; and (3) Every n-acyclic finite-dimensional -trivial metrizable...
Jean-Claude Hausmann, Allen Knutson (1998)
Annales de l'institut Fourier
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We compute the integer cohomology rings of the “polygon spaces”introduced in [F. Kirwan, Cohomology rings of moduli spaces of vector bundles over Riemann surfaces, J. Amer. Math. Soc., 5 (1992), 853-906] and [M. Kapovich & J. Millson, the symplectic geometry of polygons in Euclidean space, J. of Diff. Geometry, 44 (1996), 479-513]. This is done by embedding them in certain toric varieties; the restriction map on cohomology is surjective and we calculate its kernel using ideas from...
Marton Harris (1970)
Fundamenta Mathematicae
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Marius Van der Put (1990)
Compositio Mathematica
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Bacon, Philip (1979)
Portugaliae mathematica
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Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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T. J. Harding, F. J. Bloore (1993)
Annales de l'I.H.P. Physique théorique
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