Class information for:
Level 2: MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY

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
106 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//MATH 74336
1026 2             MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY 10542
1037 1                   GROUPS GEOMETRY AND DYNAMICS//HYPERBOLIC GROUPS//RELATIVELY HYPERBOLIC GROUPS 2919
1442 1                   HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD 2667
12096 1                   SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS 960
15158 1                   THOMPSONS GROUP//SIGMA INVARIANTS//FINITENESS PROPERTIES 754
16511 1                   COMPLEX HYPERBOLIC GEOMETRY//THURSTON GEOMETRIES//JORGENSENS INEQUALITY 677
21915 1                   APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR 424
22288 1                   CYCLICALLY PRESENTED GROUP//FIBONACCI GROUP//GENERALIZED TRIANGLE GROUP 410
22622 1                   SMALL COVER//QUASITORIC MANIFOLD//POLYHEDRAL PRODUCT 397
25001 1                   UNIVERSAL ALGEBRAIC GEOMETRY//UNIVERSAL EQUIVALENCE//ALGEBRA AND LOGIC 317
25221 1                   MCSHANES IDENTITY//JORGENSEN THEORY//MCSHANE IDENTITY 311
25333 1                   GENERALIZED FREE PRODUCTS//CONJUGACY SEPARABLE//RESIDUALLY FINITE 308
32227 1                   SIMPLICIAL VOLUME//RELATIVE BOUNDED COHOMOLOGY//2N MANIFOLDS 154
34351 1                   FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS 126
34996 1                   ALGEBRAIC 2 COMPLEX//STABLY FREE MODULE//DIAGONAL RESOLUTION 118

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICS WoSSC 563595 98% 2% 10370
2 3 MANIFOLD authKW 318705 2% 55% 193
3 ALGEBRAIC AND GEOMETRIC TOPOLOGY journal 293162 3% 28% 346
4 HEEGAARD SPLITTING authKW 274553 1% 91% 101
5 DEHN SURGERY authKW 260211 1% 78% 112
6 HYPERBOLIC 3 MANIFOLD authKW 251978 1% 89% 95
7 GROUPS GEOMETRY AND DYNAMICS journal 185826 1% 41% 153
8 GEOMETRY & TOPOLOGY journal 172193 2% 25% 231
9 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS journal 137799 3% 16% 290
10 GEOMETRIAE DEDICATA journal 137588 4% 12% 374

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 563595 98% 2% 10370
2 Mathematics, Applied 17034 17% 0% 1784
3 Logic 1076 1% 1% 79
4 Multidisciplinary Sciences 0 0% 0% 31
5 Andrology -2 0% 0% 1
6 Statistics & Probability -4 0% 0% 45
7 Physics, Mathematical -6 1% 0% 58
8 History & Philosophy of Science -9 0% 0% 2
9 Humanities, Multidisciplinary -12 0% 0% 1
10 GREEN & SUSTAINABLE SCIENCE & TECHNOLOGY -17 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 119285 40% 1% 4228
2 MATH MATH EDUC 69031 0% 66% 35
3 MATH LATP 38840 0% 100% 13
4 MAT L 3 24198 0% 90% 9
5 IS MATH 17926 0% 100% 6
6 EMILE PICARD 17262 0% 15% 38
7 MEHMAT 16126 0% 60% 9
8 UMR 5580 15187 0% 19% 27
9 MATH STUDIES 12401 0% 11% 38
10 MATH SCI 10763 6% 1% 583

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ALGEBRAIC AND GEOMETRIC TOPOLOGY 293162 3% 28% 346
2 GROUPS GEOMETRY AND DYNAMICS 185826 1% 41% 153
3 GEOMETRY & TOPOLOGY 172193 2% 25% 231
4 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 137799 3% 16% 290
5 GEOMETRIAE DEDICATA 137588 4% 12% 374
6 TOPOLOGY AND ITS APPLICATIONS 134678 5% 9% 533
7 TOPOLOGY 131885 2% 18% 240
8 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 124724 2% 20% 214
9 COMMENTARII MATHEMATICI HELVETICI 77793 2% 14% 183
10 JOURNAL OF GROUP THEORY 77172 1% 17% 156

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 3 MANIFOLD 318705 2% 55% 193 Search 3+MANIFOLD Search 3+MANIFOLD
2 HEEGAARD SPLITTING 274553 1% 91% 101 Search HEEGAARD+SPLITTING Search HEEGAARD+SPLITTING
3 DEHN SURGERY 260211 1% 78% 112 Search DEHN+SURGERY Search DEHN+SURGERY
4 HYPERBOLIC 3 MANIFOLD 251978 1% 89% 95 Search HYPERBOLIC+3+MANIFOLD Search HYPERBOLIC+3+MANIFOLD
5 HYPERBOLIC GROUPS 133712 1% 59% 76 Search HYPERBOLIC+GROUPS Search HYPERBOLIC+GROUPS
6 CURVE COMPLEX 127464 0% 89% 48 Search CURVE+COMPLEX Search CURVE+COMPLEX
7 DEHN FILLING 121565 0% 88% 46 Search DEHN+FILLING Search DEHN+FILLING
8 FREE GROUP 116748 1% 34% 115 Search FREE+GROUP Search FREE+GROUP
9 RIGHT ANGLED ARTIN GROUP 115079 0% 90% 43 Search RIGHT+ANGLED+ARTIN+GROUP Search RIGHT+ANGLED+ARTIN+GROUP
10 INCOMPRESSIBLE SURFACE 106220 0% 89% 40 Search INCOMPRESSIBLE+SURFACE Search INCOMPRESSIBLE+SURFACE

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 2


rank cluster_id2 link
1 1207 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
2 3650 MOUFANG SET//DC ANALYSIS//DC OPERATING POINT
3 3703 FARTHEST POINT//CHEBYSHEV SET//GENERIC PROPERTY
4 3776 BRACHISTOCHRONE//PLATEAUS PROBLEM//SYSTOLIC INEQUALITY
5 865 ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET
6 3894 STIEFEL WHITNEY CLASS//Z2K ACTION//PROJECTIVE SPACE BUNDLE
7 2595 SIEGEL MODULAR FORMS//MATEMAT FUNDAMENTALES//JACOBI FORMS
8 1250 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//JOURNAL OF PURE AND APPLIED ALGEBRA
9 1020 C ALGEBRA//MATHEMATICS//CROSSED PRODUCT
10 3166 ANALYTIC TORSION//NONCOMMUTATIVE RESIDUE//ETA INVARIANT

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