Euler characteristic

Summary

Euler characteristic is a topological property^[1]. It draws 695 Wikipedia views per month (topological_property category, ranking #1 of 9).^[2]

Key Facts

• Euler characteristic's instance of is recorded as topological property^[3].
• Leonhard Euler is named after Euler characteristic^[4].
• Henri Poincaré is named after Euler characteristic^[5].
• Euler characteristic's subclass of is recorded as dimensionless quantity^[6].
• Euler characteristic's Freebase ID is recorded as /m/0130lx^[7].
• Euler characteristic's Encyclopædia Britannica Online ID is recorded as topic/Euler-characteristic^[8].
• Euler characteristic's main Wikidata property is recorded as P6438^[9].
• Euler characteristic's defining formula is recorded as \chi=V-E+F^[10].
• Euler characteristic's defining formula is recorded as \chi=b_0 - b_1 + b_2 - b_3 +\, ...^[11].
• Euler characteristic's defining formula is recorded as \chi=k_0-k_1+k_2-...,^[12].
• Euler characteristic's MathWorld ID is recorded as EulerCharacteristic^[13].
• Euler characteristic's nLab ID is recorded as Euler characteristic^[14].
• Euler characteristic's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4^[15].
• Euler characteristic's Dictionary of Algorithms and Data Structures ID is recorded as EulersFormula^[16].
• Euler characteristic's maintained by WikiProject is recorded as WikiProject Mathematics^[17].
• Euler characteristic's maintained by WikiProject is recorded as WikiProject Polyhedra^[18].
• Euler characteristic's maintained by WikiProject is recorded as WikiProject Uniform Polytopes^[19].
• Euler characteristic's Microsoft Academic ID is recorded as 196433757^[20].
• Euler characteristic's Encyclopedia of Mathematics article ID is recorded as Euler_characteristic^[21].
• Euler characteristic's Treccani's Enciclopedia della Matematica ID is recorded as caratteristica-di-eulero^[22].
• Euler characteristic's OpenAlex ID is recorded as C196433757^[23].
• Euler characteristic's ScienceDirect topic ID is recorded as mathematics/euler-characteristic^[24].
• Euler characteristic's Great Russian Encyclopedia portal ID is recorded as eilerova-kharakteristika-3ea20e^[25].

Why It Matters

Euler characteristic draws 695 Wikipedia views per month (topological_property category, ranking #1 of 9).^[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[26] It is known by 26 alternative names across languages and contexts.^[27]