Mikhail Yakovlevich Suslin (Russian: Михаи́л Я́ковлевич Су́слин; , November 15, 1894 – 21 October 1919, Krasavka) (sometimes transliterated Souslin) was a Russianmathematician who made major contributions to the fields of general topology and descriptive set theory.
Mikhail Suslin was born on November 15, 1894, in the village of Krasavka, the only child of poor peasants Yakov Gavrilovich and Matrena Vasil'evna Suslin.[1] From a young age, Suslin showed a keen interest in mathematics and was encouraged to continue his education by his primary school teacher, Vera Andreevna Teplogorskaya-Smirnova. From 1905 to 1913 he attended Balashov boys' grammar school.[2]
He contributed greatly to the theory of analytic sets, sometimes called after him, a kind of a set of reals that is definable via trees. In fact, while he was a research student of Nikolai Luzin (in 1917) he found an error in an argument of Lebesgue, who believed he had proved that for any Borel set in , the projection onto the real axis was also a Borel set.
Publicationsedit
Suslin only published one paper during his life: a 4-page note.
Souslin, M. Ya. (1917), "Sur une définition des ensembles mesurables B sans nombres transfinis", C. R. Acad. Sci. Paris, 164: 88–91
Souslin, M. Ya. (1923), Kuratowski, C. (ed.), "Sur un corps dénombrable de nombres réels", Fundamenta Mathematicae (in French), 4: 311–315, doi:10.4064/fm-4-1-311-315, JFM 49.0147.03
See alsoedit
1. A Suslin algebra is a Boolean algebra that is complete, atomless, countably distributive, and satisfies the countable chain condition.
2. A Suslin cardinal is a cardinal λ such that there exists a set P ⊆ 2ω such that P is λ-Suslin but P is not λ'-Suslin for any λ' < λ.
^ abIgoshin, V. I. (1996). "A short biography of Mikhail Yakovlevich Suslin". Russ. Math. Surv. 51 (3): 371–383. Bibcode:1996RuMaS..51..371I. doi:10.1070/RM1996v051n03ABEH002905. S2CID 250856671.
mikhail, suslin, mikhail, yakovlevich, suslin, russian, Михаи, ковлевич, Су, слин, november, 1894, october, 1919, krasavka, sometimes, transliterated, souslin, russian, mathematician, made, major, contributions, fields, general, topology, descriptive, theory, . Mikhail Yakovlevich Suslin Russian Mihai l Ya kovlevich Su slin November 15 1894 21 October 1919 Krasavka sometimes transliterated Souslin was a Russian mathematician who made major contributions to the fields of general topology and descriptive set theory Mikhail Y SuslinBorn 1894 11 15 15 November 1894Krasavka Saratov OblastDied21 October 1919 1919 10 21 aged 24 Krasavka Saratov OblastScientific careerFieldsGeneral topology descriptive set theory Contents 1 Biography 2 Work 2 1 Publications 3 See also 4 References 5 External linksBiography editMikhail Suslin was born on November 15 1894 in the village of Krasavka the only child of poor peasants Yakov Gavrilovich and Matrena Vasil evna Suslin 1 From a young age Suslin showed a keen interest in mathematics and was encouraged to continue his education by his primary school teacher Vera Andreevna Teplogorskaya Smirnova From 1905 to 1913 he attended Balashov boys grammar school 2 In 1913 Suslin enrolled at the Imperial Moscow University and studied under the tutelage of Nikolai Luzin 1 He graduated with a degree in mathematics in 1917 and immediately began working at the Ivanovo Voznesensk Polytechnic Institute 2 Suslin died of typhus in the 1919 Moscow epidemic following the Russian Civil War at the age of 24 Work editHis name is especially associated to Suslin s problem a question relating to totally ordered sets that was eventually found to be independent of the standard system of set theoretic axioms ZFC He contributed greatly to the theory of analytic sets sometimes called after him a kind of a set of reals that is definable via trees In fact while he was a research student of Nikolai Luzin in 1917 he found an error in an argument of Lebesgue who believed he had proved that for any Borel set in R 2 displaystyle mathbb R 2 nbsp the projection onto the real axis was also a Borel set Publications edit Suslin only published one paper during his life a 4 page note Souslin M Ya 1917 Sur une definition des ensembles mesurables B sans nombres transfinis C R Acad Sci Paris 164 88 91 Souslin M 1920 Probleme 3 PDF Fundamenta Mathematicae 1 223 doi 10 4064 fm 1 1 223 224 Souslin M Ya 1923 Kuratowski C ed Sur un corps denombrable de nombres reels Fundamenta Mathematicae in French 4 311 315 doi 10 4064 fm 4 1 311 315 JFM 49 0147 03See also edit1 A Suslin algebra is a Boolean algebra that is complete atomless countably distributive and satisfies the countable chain condition 2 A Suslin cardinal is a cardinal l such that there exists a set P 2w such that P is l Suslin but P is not l Suslin for any l lt l 3 The Suslin hypothesis says that Suslin lines do not exist 4 A Suslin line is a complete dense unbounded totally ordered set satisfying the countable chain condition and not order isomorphic to the real line 5 The Suslin number is the supremum of the cardinalities of families of disjoint open non empty sets 6 The Suslin operation usually denoted by A is an operation that constructs a set from a Suslin scheme 7 The Suslin problem asks whether Suslin lines exist 8 The Suslin property states that there is no uncountable family of pairwise disjoint non empty open subsets 9 A Suslin representation of a set of reals is a tree whose projection is that set of reals 10 A Suslin scheme is a function with domain the finite sequences of positive integers 11 A Suslin set is a set that is the image of a tree under a certain projection 12 A Suslin space is the image of a Polish space under a continuous mapping 13 A Suslin subset is a subset that is the image of a tree under a certain projection 14 The Suslin theorem about analytic sets states that a set that is analytic and coanalytic is Borel 15 A Suslin tree is a tree of height w1 such that every branch and every antichain is at most countable References edit a b O Connor John J Robertson Edmund F March 2011 Mikhail Yakovlevich Suslin MacTutor History of Mathematics Archive University of St Andrews a b Igoshin V I 1996 A short biography of Mikhail Yakovlevich Suslin Russ Math Surv 51 3 371 383 Bibcode 1996RuMaS 51 371I doi 10 1070 RM1996v051n03ABEH002905 S2CID 250856671 External links editMikhail Suslin at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title Mikhail Suslin amp oldid 1147512283, wikipedia, wiki, book, books, library,
