Chain theories and simplicial abelian group spectra.

Bauer, Friedrich W.

Displaying similar documents to “Chain theories and simplicial abelian group spectra.”

Homology lens spaces and Dehn surgery on homology spheres

Craig Guilbault (1994)

Fundamenta Mathematicae

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A homology lens space is a closed 3-manifold with ℤ-homology groups isomorphic to those of a lens space. A useful theorem found in [Fu] states that a homology lens space $M^{3}$ may be obtained by an (n/1)-Dehn surgery on a homology 3-sphere if and only if the linking form of $M^{3}$ is equivalent to (1/n). In this note we generalize this result to cover all homology lens spaces, and in the process offer an alternative proof based on classical 3-manifold techniques.

Erratum to: Homology stability for outer automorphism groups of free groups.

Hatcher, Allan, Vogtmann, Karen, Wahl, Natalie (2006)

Algebraic & Geometric Topology

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Homology cylinders and the acyclic closure of a free group.

Sakasai, Takuya (2006)

Algebraic & Geometric Topology

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Rounding corners of polygons and the embedded contact homology of $T^{3}$ .

Hutchings, Michael, Sullivan, Michael (2006)

Geometry & Topology

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Automorphic forms and rational homology 3-spheres.

Calegari, Frank, Dunfield, Nathan M. (2006)

Geometry & Topology

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Pro- $p$ groups and towers of rational homology spheres.

Boston, Nigel, Ellenberg, Jordan S. (2006)

Geometry & Topology

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Classifying spectra of saturated fusion systems.

Ragnarsson, Kári (2006)

Algebraic & Geometric Topology

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Generalised Swan modules and the D(2) problem.

Edwards, Tim (2006)

Algebraic & Geometric Topology

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Abstract clones and operads.

Tronin, S.N. (2002)

Sibirskij Matematicheskij Zhurnal

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An explicit computation of “bar” homology groups of a non-unital ring.

Kuku, Aderemi O., Tang, Guoping (2003)

Beiträge zur Algebra und Geometrie

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Chains of factorizations in orders of global fields

Alfred Geroldinger (1997)

Colloquium Mathematicae

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Cohomology of some graded differential algebras

Wojciech Andrzejewski, Aleksiej Tralle (1994)

Fundamenta Mathematicae

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We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.

The $Q$ -ideals in polynomial rings and the $Q$ -modules over polynomial rings.

Daniyarova, Eh.Yu. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On strong uniform distribution, II. The infinite-dimensional case

Y. Lacroix (1998)

Acta Arithmetica

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We construct infinite-dimensional chains that are L¹ good for almost sure convergence, which settles a question raised in this journal [N]. We give some conditions for a coprime generated chain to be bad for L² or $L^{\infty}$ , using the entropy method. It follows that such a chain with positive lower density is bad for $L^{\infty}$ . There also exist such bad chains with zero density.