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Gluing axiom
Gluing axiom In mathematics, the gluing axiom is introduced to define what a sheaf ... the sheaf page, there is a certain axiom that F must satisfy, for any ...
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Talk:Gluing axiom
Talk:Gluing axiom I'm missing the definition of a ...
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Sheaf (mathematics)
... the open set to smaller subsets and gluing smaller open sets to obtain a bigger ... F(U) F(V). "Gluing" describes the following process: suppose the U ... U R. Here too, gluing works and we obtain a sheaf of ... vector fields defined on U. Restriction and gluing of vector fields works like that of ... second step is to introduce an additional axiom, called the gluing axiom or the ...
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List of axioms
... by Wikipedia page. In epistemology, the word axiom is understood differently; see axiom and self-evidence. Individual axioms are almost ... de facto standard axioms for contemporary mathematics Axiom of extensionality Axiom of empty set Axiom of pairing Axiom of union Axiom ...
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Talk:Manifold/rewrite/freezer
... from Gauge's last version, starting with gluing simple spaces. I think I will expand ... is what I would want. The word gluing should make clear that this is an ... lacks cohesion at the moment, with my gluing example in the middle. Let's await ... the "looks locally like" definition instead of gluing. It is not that hard to explain ... should replace paper by rubber in the gluing example (try wrapping a spherical gift ...
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Talk:Sheaf (mathematics)
... to be able to state the sheaf axiom, which is about elements of the F ... that why? Can one state the sheaf axiom entirely arrow-theoretically using, say, universal properties ... we use concrete categories for the sheaf axiom. It can be stated abstractly as follows ... sets U k ∩U i The sheaf axiom then says that r is the equalizer ... section "Definition of a presheaf" to "The gluing axiom" it seems that the definition ...
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Grothendieck topology
... sheaf is a presheaf which satisfies the gluing axiom. The gluing axiom is phrased in terms of pointwise covering ... object X in C. The base change axiom corresponds to the idea that if { ...
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Category:Mathematical axioms
... section of this category. List of axioms * Axiom Axiomatization Axiomatic system Axiom schema A Armstrong's axioms A cont. Axiom S5 Axiom of countability B Blum axioms C Cantor-Dedekind axiom E Eilenberg-Steenrod axioms F Fundamental ...
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Category:General topology
... of general topology topics * General topology A Axiom of countability B Baire category theorem Baire ... property First-countable space G Generic point Gluing axiom H Hilbert manifold Homeomorphism I Indecomposable continuum ...
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List of mathematics articles (G-I)
... of scheme theory -- Glossary of tensor theory -- Gluing axiom -- Glyphs used with the Hindu-Arabic numeral ... dimension -- Inductive inference -- Inductive set -- Inductive set (axiom of infinity) -- Ineffable cardinal -- Inequality -- Inequality of ...
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