Linked from

The 15 pages that link to Émile Borel, each with the reason it gives.

• Lebesgue measureRelated: Borel's sets provided a key foundation for Lebesgue's construction.

• Measure theoryRelated: Borel's work supplied a key class of sets later used in measure theory.

• Borel–Cantelli lemmaRelated: The first lemma bears his name and grew from his work on probability.

• Arzelà–Ascoli theoremRelated: His era’s foundational advances in analysis formed part of the mathematical setting for compactness criteria.

• Baire category theoremRelated: Borel’s work on function theory formed part of the mathematical setting surrounding Baire’s research.

• Strong law of large numbersRelated: Borel proved an early strong law for independent trials with two possible outcomes.

• Mixed strategyRelated: Borel explored randomized strategies in games before a general existence theorem was known.

• Jacques HadamardRelated: Borel was Hadamard’s contemporary in the Paris mathematical community and a fellow member of the French Academy.

• Henri LebesgueRelated: Borel’s theories of sets and measure formed part of the intellectual background to Lebesgue’s work.

• Descriptive set theoryRelated: His name marks the foundational class of sets studied in the field.

• Theory of Games and Economic BehaviorRelated: His early investigations anticipated parts of the book’s game-theoretic program.

• Koch snowflakeRelated: Koch presented his curve amid mathematical interest in pathological examples and measure.

• Borel–Carathéodory theoremRelated: His name is attached to the theorem’s standard form.

• Borel conjectureRelated: Borel formulated the conjecture now named for him.

• Infinite monkey theoremRelated: His 1913 discussion helped establish the monkey-and-typewriter formulation.