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Publication:3791697
zbMath0647.46049MaRDI QIDQ3791697
Publication date: 1986
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vector fieldsBetti numbersMorse inequalities on multiply connected manifoldsvon Neumann relative dimensions of the homology or cohomology groups of the local system
Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Classifications of (C^*)-algebras (46L35) Algebraic topology of manifolds (57N65)
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Obituary: Mikhail Shubin (1944--2020) ⋮ Morse numbers and minimal Morse functions on nonsimply connected manifolds ⋮ Semiclassical asymptotics on covering manifolds and Morse inequalities ⋮ Discrete Morse theory and extended \(L^2\) homology ⋮ \(L^{2}\)-invariants of Riemannian foliations ⋮ Delocalized \(L^2\)-invariants ⋮ Morse inequalities for almost-periodic functions ⋮ Percolation Hamiltonians ⋮ A \(C^*\)-algebra of geometric operators on self-similar CW-complexes. Novikov-Shubin and \(L^2\)-Betti numbers ⋮ Equality of Lifshitz and van Hove exponents on amenable Cayley graphs ⋮ Morse functions on cobordisms ⋮ \(L^ 2\)-topological invariants of 3-manifolds ⋮ Von Neumann Betti numbers and Novikov type inequalities ⋮ Noncommutative Riemann integration and Novikov-Shubin invariants for open manifolds ⋮ Numerical invariants of cochain complexes and the Morse numbers of manifolds ⋮ Families torsion and Morse functions for covering spaces ⋮ Estimates for spectral density functions of matrices over \(\mathbb{C} [\mathbb{Z}^d\)]
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