Class information for:
Level 1: APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR

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
21915 1                   APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR 424

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 APPROXIMATE FIBRATION authKW 1646718 6% 92% 24
2 HOPFIAN MANIFOLD authKW 966306 3% 100% 13
3 CODIMENSION 2 FIBRATOR authKW 817643 3% 100% 11
4 DEFINING SEQUENCE authKW 675736 2% 91% 10
5 CONTINUITY SET authKW 668981 2% 100% 9
6 DEGREE ONE MOD 2 MAP authKW 520318 2% 100% 7
7 PROPER HOMOTOPY authKW 475716 2% 80% 8
8 GEOMETRIC SIMPLE CONNECTIVITY authKW 445987 1% 100% 6
9 GENERALIZED MANIFOLD authKW 396428 2% 67% 8
10 EXTERIOR SPACE authKW 382273 1% 86% 6

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 23215 100% 0% 422
2 Mathematics, Applied 3775 38% 0% 160
3 Statistics & Probability 1 1% 0% 4
4 Multidisciplinary Sciences -0 0% 0% 1
5 Physics, Mathematical -1 0% 0% 1
6 Mechanics -2 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AKADEMIJOS ST 4 74331 0% 100% 1
2 FOURIER B 74 74331 0% 100% 1
3 TMCB 275 74331 0% 100% 1
4 MATEMAT FUNDAMENTAL 38661 2% 7% 8
5 DMA ENS 37165 0% 50% 1
6 GEOMETRIA TOPOL 26904 4% 2% 19
7 MATH PHYS MECH 16038 2% 2% 9
8 FOURIER BP 74 14865 0% 20% 1
9 UMR MATH 8628 14865 0% 20% 1
10 CITE 3 10617 0% 14% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TOPOLOGY AND ITS APPLICATIONS 100368 22% 1% 92
2 FUNDAMENTA MATHEMATICAE 18108 5% 1% 22
3 TOPOLOGY 16478 4% 1% 17
4 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 7166 7% 0% 30
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5634 8% 0% 36
6 PACIFIC JOURNAL OF MATHEMATICS 4075 4% 0% 16
7 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 3867 3% 0% 13
8 MICHIGAN MATHEMATICAL JOURNAL 3218 2% 1% 8
9 GEOMETRIAE DEDICATA 2439 2% 0% 10
10 ALGEBRAIC AND GEOMETRIC TOPOLOGY 2185 1% 0% 6

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 APPROXIMATE FIBRATION 1646718 6% 92% 24 Search APPROXIMATE+FIBRATION Search APPROXIMATE+FIBRATION
2 HOPFIAN MANIFOLD 966306 3% 100% 13 Search HOPFIAN+MANIFOLD Search HOPFIAN+MANIFOLD
3 CODIMENSION 2 FIBRATOR 817643 3% 100% 11 Search CODIMENSION+2+FIBRATOR Search CODIMENSION+2+FIBRATOR
4 DEFINING SEQUENCE 675736 2% 91% 10 Search DEFINING+SEQUENCE Search DEFINING+SEQUENCE
5 CONTINUITY SET 668981 2% 100% 9 Search CONTINUITY+SET Search CONTINUITY+SET
6 DEGREE ONE MOD 2 MAP 520318 2% 100% 7 Search DEGREE+ONE+MOD+2+MAP Search DEGREE+ONE+MOD+2+MAP
7 PROPER HOMOTOPY 475716 2% 80% 8 Search PROPER+HOMOTOPY Search PROPER+HOMOTOPY
8 GEOMETRIC SIMPLE CONNECTIVITY 445987 1% 100% 6 Search GEOMETRIC+SIMPLE+CONNECTIVITY Search GEOMETRIC+SIMPLE+CONNECTIVITY
9 GENERALIZED MANIFOLD 396428 2% 67% 8 Search GENERALIZED+MANIFOLD Search GENERALIZED+MANIFOLD
10 EXTERIOR SPACE 382273 1% 86% 6 Search EXTERIOR+SPACE Search EXTERIOR+SPACE

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 17935 HAWAIIAN EARRING//STRONG SHAPE//COARSE SHAPE
2 15158 THOMPSONS GROUP//SIGMA INVARIANTS//FINITENESS PROPERTIES
3 12096 SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS
4 10094 COHOMOLOGICAL DIMENSION//ABSOLUTE EXTENSOR//TOPOLOGY AND ITS APPLICATIONS
5 25779 COUNTABLE DENSE HOMOGENEOUS//COMPLETE ERDOS SPACE//UNIFORM CONVERGENCE THEOREM
6 22622 SMALL COVER//QUASITORIC MANIFOLD//POLYHEDRAL PRODUCT
7 6454 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION
8 1037 GROUPS GEOMETRY AND DYNAMICS//HYPERBOLIC GROUPS//RELATIVELY HYPERBOLIC GROUPS
9 38315 CONFORMAL TYPE OF A MANIFOLD//DE FRANCHIS THEOREM//CONFORMAL AUTOMORPHISM
10 17266 LINK CONCORDANCE//DIFFERENTIAL GEOMETRY//LINK HOMOTOPY

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