An Alpine Expedition through Algebraic Topology

DOI10.1090/conm/617zbMath1332.19007arXiv1211.0213OpenAlexW1576347598MaRDI QIDQ3463796

Robert R. Bruner

Publication date: 20 January 2016

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0213

zbMATH Keywords

idempotentssyzygiesPicard groupsSteenrod algebralocalizationscohomology of finite groupsMargolis homologyperiodictybounded-below modules

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Connective (K)-theory, cobordism (19L41) Resolutions; derived functors (category-theoretic aspects) (18G10) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Steenrod algebra (55S10) Topological (K)-theory (55N15) Homological algebra in category theory, derived categories and functors (18G99) Proceedings, conferences, collections, etc. pertaining to algebraic topology (55-06) Algebraic (K)-theory of spaces (19D10) Negative (K)-theory, NK and Nil (19D35) Algebraic topology on manifolds and differential topology (57R19) Localization of categories, calculus of fractions (18E35) Hopf algebras and their applications (16T05) Applied homological algebra and category theory in algebraic topology (55Uxx) Homotopy theory (55Pxx) Homology and cohomology theories in algebraic topology (55Nxx) Homotopy groups (55Qxx)

Related Items (5)

The Picard group of motivic \(\mathcal{A}_{\mathbb{C}}(1)\) ⋮ Classifying and extending \(Q_0\) local \(\mathcal{A}(1)\)-modules ⋮ On connective KO-theory of elementary abelian 2-groups ⋮ Approximately fibering a manifold over an aspherical one ⋮ Truncated projective spaces, Brown-Gitler spectra and indecomposable \(\mathcal{A}(1)\)-modules

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