Euler class
degree r characteristic class defined for a real oriented vector bundle of rank r on a paracompact space
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Euler class
Summary
Euler class is a characteristic class[1]. It draws 35 Wikipedia views per month (characteristic_class category, ranking #1 of 1).[2]
Key Facts
- Euler class's instance of is recorded as characteristic class[3].
- Leonhard Euler is named after Euler class[4].
- Euler class's Freebase ID is recorded as /m/08dhw5[5].
- Euler class's defining formula is recorded as \operatorname e(E) \smile\operatorname e(E) = \operatorname c_{\operatorname{rk}E}(E \otimes_{\mathbb R} \mathbb C) \in \operatorname H^{2\operatorname{rk}E}(M;\mathbb Z)[6].
- Euler class's nLab ID is recorded as Euler class[7].
- Euler class's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- Euler class's Microsoft Academic ID is recorded as 2780859293[9].
- Euler class's ScienceDirect topic ID is recorded as mathematics/euler-class[10].
Why It Matters
Euler class draws 35 Wikipedia views per month (characteristic_class category, ranking #1 of 1).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[11]