# Cantor organ

From hyperspacewiki

# Properties

**Theorem:** The **Cantor organ** is an arc-like continuum which is irreducible between the points $(0,x)$ and $(1,y)$ where $0\leq x, y \leq 1$ and has exactly four end points.

**Proof:** █

**Theorem:** The **Cantor organ** has uncountably many arc components.

**Proof:** █