Čech cohomology

cohomology theory based on the intersection properties of open covers of a topological space

Wikidata entity: Q1095535

P2534	defining formula	Math	$\begin{aligned} δ_{q} : C^{q} (𝒰, ℱ) & \to C^{q + 1} (𝒰, ℱ) \\ f & \mapsto (σ \mapsto \sum_{j = 0}^{q + 1} (-)^{j} {res}_{\| σ \|}^{\| \partial_{j} σ \|} f (\partial_{j} σ)) \end{aligned}$	???
P61	discoverer or inventor	...	Q325696 (Pavel Aleksandrov)	Pavel Aleksandrov
P7235	in defining formula	Math	$ℱ$	???
P7235	in defining formula	Math	$δ_{q}$	???
P7235	in defining formula	Math	$𝒰$	???
P31	instance of	...	Q20026918 (mathematical theory)	mathematical theory
P31	instance of	...	Q1198376 (cohomology)	cohomology
P31	instance of	...	Q24034552 (mathematical concept)	mathematical concept
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P138	named after	...	Q325696 (Pavel Aleksandrov)	Pavel Aleksandrov
P138	named after	...	Q470581 (Eduard Čech)	Eduard Čech
P361	part of	...	Q1493952 (sheaf cohomology)	sheaf cohomology
P361	part of	...	Q114706191 (theory of open covers of topological spaces)	theory of open covers of topological spaces
P2579	studied by	...	Q579978 (homological algebra)	homological algebra
P279	subclass of	...	Q625948 (topological property)	topological property
P575	time of discovery or invention	...	1927-01-01	???
P910	topic's main category	...	Q114728443 (???)	???

External Ids

P7554	Encyclopedia of Mathematics article ID	Čech_cohomology
P646	Freebase ID	/m/03hpyc
P6366	Microsoft Academic ID (discontinued)	74196217
P4215	nLab ID	Čech cohomology
P10283	OpenAlex ID	C74196217

Why not click here or view trends?

log id: 6810179