We compute bounds on covering maps that arise in Belyi's Theorem. In particular, we construct a library of height properties and then apply it to algorithms that produce Belyi maps. Such maps are used to give coverings from algebraic curves to the projective line ramified over at most three points.
Strong transfinite version of König's duality theorem
✍ Scribed by R. A. Brualdi
- Publisher
- Springer Vienna
- Year
- 1971
- Tongue
- English
- Weight
- 205 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0026-9255
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An intuitionistic version of Cantor's theorem, which shows that there is no surjective function from the type of the natural numbers Af into the type N + h/ of the functions from N into N, is proved within Martin-Lijf's Intuitionistic Type Theory with the universe of the small types.
## Abstract A version of Birkhoff's theorem is proved by constructive, predicative, methods. The version we prove has two conditions more than the classical one. First, the class considered is assumed to contain a generic family, which is defined to be a set‐indexed family of algebras such that if