Čech cohomology

Summary

Čech cohomology is a mathematical concept^[1]. It draws 98 Wikipedia views per month (mathematical_concept category, ranking #160 of 1,007).^[2]

Key Facts

• Čech cohomology is credited with the discovery of Pavel Aleksandrov^[3].
• Čech cohomology's image is recorded as Penrose-dreieck.svg^[4].
• Čech cohomology's instance of is recorded as mathematical concept^[5].
• Čech cohomology's instance of is recorded as cohomology^[6].
• Čech cohomology's instance of is recorded as mathematical theory^[7].
• Eduard Čech is named after Čech cohomology^[8].
• Pavel Aleksandrov is named after Čech cohomology^[9].
• Čech cohomology's subclass of is recorded as topological property^[10].
• Čech cohomology's part of is recorded as theory of open covers of topological spaces^[11].
• Čech cohomology's part of is recorded as sheaf cohomology^[12].
• Čech cohomology's time of discovery or invention is recorded as +1927-00-00T00:00:00Z^[13].
• Čech cohomology's Freebase ID is recorded as /m/03hpyc^[14].
• Čech cohomology's topic's main category is recorded as Q114728443^[15].
• Čech cohomology's defining formula is recorded as \begin{aligned}\delta_q\colon C^q(\mathcal U,\mathcal F)&\to C^{q+1}(\mathcal U,\mathcal F)\f&\mapsto\left(\sigma\mapsto\sum_{j=0}^{q+1}(-)^j\operatorname{res}_{|\sigma|}^{|\partial_j\sigma|}f(\partial_j\sigma)\right)\end{aligned}^[16].
• Čech cohomology's studied by is recorded as homological algebra^[17].
• Čech cohomology's nLab ID is recorded as Čech cohomology^[18].
• Čech cohomology's maintained by WikiProject is recorded as WikiProject Mathematics^[19].
• Čech cohomology's Microsoft Academic ID is recorded as 74196217^[20].
• Čech cohomology's in defining formula is recorded as \mathcal U^[21].
• Čech cohomology's in defining formula is recorded as \mathcal F^[22].
• Čech cohomology's in defining formula is recorded as \delta_q^[23].
• Čech cohomology's Encyclopedia of Mathematics article ID is recorded as Čech_cohomology^[24].
• Čech cohomology's OpenAlex ID is recorded as C74196217^[25].

Body

Works and Contributions

Čech cohomology is credited with the discovery of Pavel Aleksandrov^[3].

Why It Matters

Čech cohomology draws 98 Wikipedia views per month (mathematical_concept category, ranking #160 of 1,007).^[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.^[26] It is known by 10 alternative names across languages and contexts.^[27]