Class information for:
Level 1: HURWITZ SPACES//BRAID MOVES//HILBERTIAN FIELDS

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
368 3       JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 35230
322 2             MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 18548
15676 1                   HURWITZ SPACES//BRAID MOVES//HILBERTIAN FIELDS 725

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HURWITZ SPACES authKW 299095 2% 40% 17
2 BRAID MOVES authKW 260821 1% 100% 6
3 HILBERTIAN FIELDS authKW 260821 1% 100% 6
4 HILBERTS IRREDUCIBILITY THEOREM authKW 193634 1% 64% 7
5 ALGEBRAIC COVERS authKW 173880 1% 100% 4
6 PAC FIELDS authKW 130410 0% 100% 3
7 INVERSE GALOIS THEORY authKW 111773 1% 43% 6
8 RIEMANNS EXISTENCE THEOREM authKW 97806 0% 75% 3
9 AMPLE FIELDS authKW 86940 0% 100% 2
10 GRUNWALDS PROBLEM authKW 86940 0% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 37316 97% 0% 700
2 Logic 1469 3% 0% 23
3 Mathematics, Applied 602 13% 0% 91
4 Multidisciplinary Sciences 12 1% 0% 7
5 Computer Science, Theory & Methods 4 1% 0% 10
6 Mycology -0 0% 0% 1
7 Statistics & Probability -2 0% 0% 1
8 Medicine, Research & Experimental -8 0% 0% 1
9 Microbiology -10 0% 0% 1
10 Biotechnology & Applied Microbiology -10 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IST ARCH DCA 57959 0% 67% 2
2 PAUL PAINLEVE MATH 55887 0% 43% 3
3 THEORIE NOMB ALGORITHM ARITHMET 55887 0% 43% 3
4 ABT MATHEMAT LOG GRUNDLAGEN MATH 43470 0% 100% 1
5 DELEGATION GEN ARMEMENT 43470 0% 100% 1
6 EAST CAROLINA UNIV 43470 0% 100% 1
7 ERS 0127 CNRS 43470 0% 100% 1
8 FAK WISSEN AFTEN 43470 0% 100% 1
9 FUER ALGEBRA ZAHLENTHEORIE DISKRETE MATH 43470 0% 100% 1
10 FUER REINE MATH 43470 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 26172 6% 1% 47
2 ISRAEL JOURNAL OF MATHEMATICS 26028 7% 1% 48
3 JOURNAL OF ALGEBRA 12537 9% 0% 62
4 MANUSCRIPTA MATHEMATICA 11832 4% 1% 30
5 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 11528 1% 3% 8
6 MATHEMATISCHE ANNALEN 9249 4% 1% 32
7 JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 6326 1% 2% 7
8 JOURNAL OF NUMBER THEORY 3552 3% 0% 20
9 COMPOSITIO MATHEMATICA 3368 2% 1% 14
10 ACTA ARITHMETICA 2959 2% 0% 15

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HURWITZ SPACES 299095 2% 40% 17 Search HURWITZ+SPACES Search HURWITZ+SPACES
2 BRAID MOVES 260821 1% 100% 6 Search BRAID+MOVES Search BRAID+MOVES
3 HILBERTIAN FIELDS 260821 1% 100% 6 Search HILBERTIAN+FIELDS Search HILBERTIAN+FIELDS
4 HILBERTS IRREDUCIBILITY THEOREM 193634 1% 64% 7 Search HILBERTS+IRREDUCIBILITY+THEOREM Search HILBERTS+IRREDUCIBILITY+THEOREM
5 ALGEBRAIC COVERS 173880 1% 100% 4 Search ALGEBRAIC+COVERS Search ALGEBRAIC+COVERS
6 PAC FIELDS 130410 0% 100% 3 Search PAC+FIELDS Search PAC+FIELDS
7 INVERSE GALOIS THEORY 111773 1% 43% 6 Search INVERSE+GALOIS+THEORY Search INVERSE+GALOIS+THEORY
8 RIEMANNS EXISTENCE THEOREM 97806 0% 75% 3 Search RIEMANNS+EXISTENCE+THEOREM Search RIEMANNS+EXISTENCE+THEOREM
9 AMPLE FIELDS 86940 0% 100% 2 Search AMPLE+FIELDS Search AMPLE+FIELDS
10 GRUNWALDS PROBLEM 86940 0% 100% 2 Search GRUNWALDS+PROBLEM Search GRUNWALDS+PROBLEM

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1



rank cluster_id2 link
1 17596 WITT EQUIVALENCE//WITT RING//DEFINABLE VALUATIONS
2 19751 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
3 38562 HURWITZ ACTION//3D LEMNISCATES//BIFOCAL CURVE
4 11210 RIGID COHOMOLOGY//SWAN CONDUCTOR//CRYSTALLINE COHOMOLOGY
5 18846 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
6 25484 HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM
7 27369 VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM
8 10513 FLAG TRANSITIVE//POINT PRIMITIVE//BLOCK TRANSITIVE
9 12892 MATEMAT FUNDAMENTALES//KLEIN SURFACES//RIEMANN SURFACE
10 14966 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP

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