# Suslin

### Some articles on suslin:

Suslin Set
... The concept of a Suslin set was first used by Mikhail Yakovlevich Suslin when he was researching the properties of projections of Borel sets in onto the real axis ... projection was also a Borel set, but an error was spotted by Suslin ... Suslin sets have since been used in various areas of mathematics such as potential theory, measure theory and the study of fractals ...
Suslin Tree
... In mathematics, a Suslin tree is a tree of height ω1 such that every branch and every antichain is at most countable ... (An antichain is a set of elements such that any two are incomparable.) Every Suslin tree is an Aronszajn tree ... The existence of a Suslin tree is logically independent of ZFC, and is equivalent to the existence of a Suslin line ...
Properties of Suslin Sets
... Every Borel set is a Suslin set ... The collection of all Suslin sets is closed under countable unions and countable intersection ... Not all Suslin sets are Borel sets (in non-trivial metric spaces such as ) ...
Alexander Suslin - Aguddah
... Suslin authored the book Aguddah (אגודה "Collection") ... of the beginning of the fifteenth century as Jacob Mölln (Maharil) and Jacob Weil considered Suslin's judgments to be decisive ... Aguddah ("Novellæ from the Aguddah"), comprising a selection from Suslin's own explanations in the Aguddah ...
Suslin's Problem - Implications
... Any totally ordered set that is not isomorphic to R but satisfies (1) – (4) is known as a Suslin line ... The existence of Suslin lines has been proven to be equivalent to the existence of Suslin trees ... Suslin lines exist if the additional constructibility axiom V equals L is assumed ...