Jordan curve theorem

Summary

Jordan curve theorem is a theorem^[1]. It ranks in the top 4% of theorem entities by monthly Wikipedia readership (383 views/month).^[2]

Key Facts

• Jordan curve theorem's instance of is recorded as theorem^[3].
• Camille Jordan is named after Jordan curve theorem^[4].
• Jordan curve theorem's part of is recorded as list of theorems^[5].
• Jordan curve theorem's Commons category is recorded as Jordan curve theorem^[6].
• Jordan curve theorem's has part is recorded as simple closed curve^[7].
• Jordan curve theorem's Freebase ID is recorded as /m/01njzw^[8].
• Jordan curve theorem's proved by is recorded as Oswald Veblen^[9].
• Jordan curve theorem's Encyclopædia Britannica Online ID is recorded as topic/Jordan-curve-theorem^[10].
• Jordan curve theorem's defining formula is recorded as \tilde{H}_{q}(Y)= \begin{cases}\mathbb{Z},\quad q=n-k \ 0,\quad \text{otherwise}.\end{cases}^[11].
• Jordan curve theorem's studied by is recorded as algebraic topology^[12].
• Jordan curve theorem's MathWorld ID is recorded as JordanCurveTheorem^[13].
• Jordan curve theorem's nLab ID is recorded as Jordan curve theorem^[14].
• Jordan curve theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[15].
• Jordan curve theorem's Microsoft Academic ID is recorded as 70251129^[16].
• Jordan curve theorem's ProofWiki ID is recorded as Jordan_Curve_Theorem^[17].
• Jordan curve theorem's OpenAlex ID is recorded as C70251129^[18].
• Jordan curve theorem's ScienceDirect topic ID is recorded as mathematics/jordan-curve-theorem^[19].

Why It Matters

Jordan curve theorem ranks in the top 4% of theorem entities by monthly Wikipedia readership (383 views/month).^[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.^[20] It is known by 5 alternative names across languages and contexts.^[21]