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Everything about Local system
Locally constant sheaf of abelian groups on topological space
In mathematics, a local system on a topological space X is a tool from algebraic topology which interpolates between cohomology with coefficients in a fixed abelian group A, and general sheaf cohomology in which coefficients vary from point to point. Local coefficient systems were introduced by Norman Steenrod in 1943. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Local systemA 5-minute orientation
- Skim a recent paper: Responsive FLEXibility: A smart local energy systemInfluential work since 2022
- Pick up a classic book: American GovernmentThe most-reprinted book on the subject
- Read the landmark paper: Local tax system, intergovernmental transfers and China's local fiscal disparitiesCited 87 times
- Go sideways: Constructible sheafA closely related topic
- Go sideways: Coherent sheafA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Local tax system, intergovernmental transfers and China's local fiscal disparities
Local Renin-Angiotensin System in the Reproductive System
LOCAL BIFURCATIONS OF THE CHEN SYSTEM
The so-called world system: Local initiative and local response
Local temperature in an electronic system
Local Public Health System Partnerships
Digital wireless local loop system
Local Translation in Nervous System Pathologies
🆕 Influential since 2022
📚 Books worth reading
American GovernmentJames Q. Wilson, John J. DiIulio, Jr · 1980
Computer NetworksAndrew S. Tanenbaum, John David Wetherall · 1981
IEEE standard for information technologyInstitute of Electrical and Electronics Engineers · 1991
Active DirectoryRobbie Allen, Joe Richards · 2003
Business data communicationsWilliam Stallings · 1990
Indoor radio planningMorten Tolstrup, Morton M. Tolstrup · 2007
Business data communications and networkingJerry FitzGerald · 2002
802.11 Wireless NetworksMatthew Gast · 2002
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Mixed Hodge module In mathematics, mixed Hodge modules are the culmination of Hodge theory, mixed Hodge structures, intersection cohomology, and the decomposition theorem…
- Coherent sheaf cohomology In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaf cohomology is a technique for producing functions…
- Intersection homology In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well-suited for the study of singular spaces…
- Glossary of algebraic geometry This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory…
- Grothendieck–Riemann–Roch theorem In mathematics, specifically in algebraic geometry, the Grothendieck–Riemann–Roch theorem is a far-reaching result on coherent cohomology. It is a generalisatio…
- Proj construction In algebraic geometry, Proj is a construction analogous to the spectrum-of-a-ring construction of affine schemes, which produces objects with the typical…