sheaf

collection of objects associated to subsets of a space in a manner admitting gluing and restriction

Wikidata entity: Q595298

P2534	defining formula	Math	$\begin{aligned} F : O p e n (X)^{o p} \to S e t \\ U = ⋃_{i \in I} U_{i} \land s, t \in F (U) \land (\forall i \in I : s ↾ U_{i} = t ↾ U_{i}) ⟹ s = t \\ U = ⋃_{i \in I} U_{i} \land \forall i \in I : s_{i} \in F (U_{i}) \land \forall i, j \in I : s_{i} ↾ U_{i} \cap U_{j} = s_{j} ↾ U_{i} \cap U_{j} ⟹ \exists s \in F (U) \forall i \in I : s_{i} = s ↾ U_{i} \end{aligned}$	???
P1889	different from	...	Q942040 (sheaf)	sheaf
P61	discoverer or inventor	...	Q441143 (Jean Leray)	Jean Leray
P1552	has characteristic	...	Q91783823 (global section)	global section
P1552	has characteristic	...	Q5572389 (gluing axiom)	gluing axiom
P1552	has characteristic	...	Q17103642 (stalk)	stalk
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P5008	on focus list of Wikimedia project	...	Q6173448 (Wikipedia:Vital articles/Level/4)	Wikipedia:Vital articles/Level/4
P2579	studied by	...	Q77827144 (sheaf theory)	sheaf theory
P279	subclass of	...	Q7241077 (presheaf)	presheaf
P279	subclass of	...	Q7595945 (stack)	stack
P575	time of discovery or invention	...	1947-01-01	???

External Ids

P7554	Encyclopedia of Mathematics article ID	Sheaf
P1417	Encyclopædia Britannica Online ID	topic/sheaf
P646	Freebase ID	/m/01kjmy
P244	Library of Congress authority ID	sh85121203
P2812	MathWorld ID	Sheaf
P6366	Microsoft Academic ID (discontinued)	4017995
P6366	Microsoft Academic ID (discontinued)	118497674
P8189	National Library of Israel J9U ID	987007536441005171
P4215	nLab ID	sheaf
P10283	OpenAlex ID	C4017995
P7726	PlanetMath ID	Sheaf
P7726	PlanetMath ID	Sheaf1
P6781	ProofWiki ID	Definition:Sheaf_on_Topological_Space
P13591	Yale LUX ID	concept/e47d9776-db89-4bc4-8c03-66c3f9f22eb0

Why not click here or view trends?

log id: 7138607