Results 21 to 30 of about 1,034,783 (201)
Characterizing cohomological dimension: The cohomological dimension of A ∪ B
Topology and its Applications, 1991 The Menger-Urysohn sum formula is proved for cohomological dimension with respect to integers. The proof is based on a characterization of cohomological dimension \(\dim_{\mathbb{Z}}\) given by the author for metrizable spaces. That characterization is the natural transfer of Edward's characterization of \(\dim_{\mathbb{Z}}\) for compact metric spaces.
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An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers
, 2014 In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups.
Martin G. Fluch +3 more
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Investigating the cohomological dimensions of ℳg [PDF]
International Journal of Mathematics, 2016 We discuss the problem of determining the de Rham, Dolbeault and algebraic cohomological dimension of [Formula: see text], focusing on possible strategies of attack and then concentrating on exhaustion functions. In the final section, we explain how these techniques can be employed to provide a nontrivial upper bound for the Dolbeault cohomological ...
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Cohomological approach to asymptotic dimension [PDF]
Geometriae Dedicata, 2008 30 ...
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Local multiplicativity of perverse filtrations
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
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On The Cohomological Dimension of Local Cohomology Modules
, 2015 Let $R$ be a Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module with $\operatorname{cd}(I,M)=c$. In this article, we first show that there exists a descending chain of ideals $I=I_c\supsetneq I_{c-1}\supsetneq \cdots \supsetneq I_0$ of $R$ such that for each $0\leq i\leq c-1$, $\operatorname{cd}(I_i,M)=i$ and that the top local cohomology ...
Erdoǧdu, Vahap, Yıldırım, Tuǧba
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Topological calculation of local cohomological dimension [PDF]
, 2023 We show that the sum of the local cohomological dimension and the rectified $\mathbb Q$-homological depth of a closed analytic subspace of a complex manifold coincide with the dimension of the ambient manifold.
Walther, Uli +2 more
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The mod 2 Seiberg–Witten invariants of spin structures and spin families
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
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Algebras of Finite Cohomological Dimension [PDF]
Nagoya Mathematical Journal, 1971 The cohomology theory of an associative algebra has been shown to be valuable in the study of the structure of algebras of finite cohomological dimension, especially those of dimension less than or equal to one over a field. M. Harada [9] has shown that every semi-primary hereditary algebra A (for example, A is finitely generated over a field R and has
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Nontrivial Massey products on compact Kähler manifolds
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract By a result of Deligne, Griffiths, Morgan, and Sullivan, compact Kähler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasi‐isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham cohomology algebra with its real ...
Giovanni Placini +2 more
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