Connected Set

A connected set is a Set which cannot be partitioned into two nonempty Subsets which areopen in the relative topology induced on the Set. Equivalently, it is a Set which cannot be partitionedinto two nonempty Subsets such that each Subset has no points in common with the closure ofthe other.

The Real Numbers are a connected set.

• Euler's Displacement Theorem
• Euler's Distribution Theorem
• Euler's Factorization Method
• Euler's Finite Difference Transformation
• Euler's Graeco-Roman Squares Conjecture
• Euler's Homogeneous Function Theorem
• Euler's Hypergeometric Transformations
• Euler's Idoneal Number
• Euler's Machin-Like Formula
• Euler's Pentagonal Number Theorem
• Euler's Phi Function
• Euler's Polygon Division Problem
• Euler's Quadratic Residue Theorem
• Euler Square
• Euler's Rotation Theorem
• Euler's Rule
• Euler's Series Transformation
• Euler's Spiral
• Euler's Sum of Powers Conjecture
• Euler's Theorem
• Euler's Totient Rule
• Euler's Transform
• Euler's Triangle
• Euler Sum
• Euler Totient Function