Class information for:
Level 1: SKEW LOOP//TANTRIX//CURVATURE BOUNDED ABOVE

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
3894 2             STIEFEL WHITNEY CLASS//Z2K ACTION//PROJECTIVE SPACE BUNDLE 927
24738 1                   SKEW LOOP//TANTRIX//CURVATURE BOUNDED ABOVE 326

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SKEW LOOP authKW 773414 2% 100% 8
2 TANTRIX authKW 483384 2% 100% 5
3 CURVATURE BOUNDED ABOVE authKW 290030 1% 100% 3
4 FOUR VERTEX THEOREM authKW 290030 1% 100% 3
5 CATK SPACES authKW 257802 1% 67% 4
6 LAMBDA CONVEX SET authKW 193354 1% 100% 2
7 LOCALLY CONVEX IMMERSION authKW 193354 1% 100% 2
8 SEMI CONCAVE FUNCTIONS authKW 193354 1% 100% 2
9 SKEWLOOP authKW 193354 1% 100% 2
10 TIGHT IMMERSION authKW 193354 1% 100% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 16054 94% 0% 308
2 Mathematics, Applied 829 21% 0% 68
3 Physics, Mathematical 8 2% 0% 7
4 Computer Science, Software Engineering 6 2% 0% 5
5 Robotics 2 0% 0% 1
6 Computer Science, Artificial Intelligence 2 1% 0% 4
7 Multidisciplinary Sciences 1 1% 0% 2
8 Microscopy 1 0% 0% 1
9 Statistics & Probability 1 1% 0% 3
10 Imaging Science & Photographic Technology 0 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH ANAL OPTIMIZAT 96677 0% 100% 1
2 UNIV BEREICH VAIHINGEN 96677 0% 100% 1
3 IND INGN BIOTECH 87005 1% 30% 3
4 IND INGENIEUR BIOTECH 24168 0% 25% 1
5 MATH JEAN LERAYUMR 6629 24168 0% 25% 1
6 NG CHEBOTAREV MATH MECH 16111 0% 17% 1
7 GEOMETRIE TOPOL 13380 1% 5% 3
8 GEOMETRY 13368 2% 2% 7
9 EDIFICI CC 8055 0% 8% 1
10 GEOMETRIA TOPOL 6196 2% 1% 8

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GEOMETRIAE DEDICATA 32685 10% 1% 32
2 COMMENTARII MATHEMATICI HELVETICI 7527 3% 1% 10
3 MANUSCRIPTA MATHEMATICA 6582 5% 0% 15
4 AMERICAN MATHEMATICAL MONTHLY 5009 4% 0% 12
5 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 3761 2% 1% 7
6 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 3674 2% 1% 5
7 TOPOLOGY 3627 2% 1% 7
8 JOURNAL OF DIFFERENTIAL GEOMETRY 3567 2% 0% 8
9 UKRAINIAN MATHEMATICAL JOURNAL 2330 2% 0% 5
10 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 2231 1% 1% 2

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SKEW LOOP 773414 2% 100% 8 Search SKEW+LOOP Search SKEW+LOOP
2 TANTRIX 483384 2% 100% 5 Search TANTRIX Search TANTRIX
3 CURVATURE BOUNDED ABOVE 290030 1% 100% 3 Search CURVATURE+BOUNDED+ABOVE Search CURVATURE+BOUNDED+ABOVE
4 FOUR VERTEX THEOREM 290030 1% 100% 3 Search FOUR+VERTEX+THEOREM Search FOUR+VERTEX+THEOREM
5 CATK SPACES 257802 1% 67% 4 Search CATK+SPACES Search CATK+SPACES
6 LAMBDA CONVEX SET 193354 1% 100% 2 Search LAMBDA+CONVEX+SET Search LAMBDA+CONVEX+SET
7 LOCALLY CONVEX IMMERSION 193354 1% 100% 2 Search LOCALLY+CONVEX+IMMERSION Search LOCALLY+CONVEX+IMMERSION
8 SEMI CONCAVE FUNCTIONS 193354 1% 100% 2 Search SEMI+CONCAVE+FUNCTIONS Search SEMI+CONCAVE+FUNCTIONS
9 SKEWLOOP 193354 1% 100% 2 Search SKEWLOOP Search SKEWLOOP
10 TIGHT IMMERSION 193354 1% 100% 2 Search TIGHT+IMMERSION Search TIGHT+IMMERSION

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 22176 FOLD SINGULARITY//FOLD MAP//STEIN FACTORIZATION
2 30669 SPATIAL GRAPH//INTRINSICALLY KNOTTED//INTRINSICALLY LINKED
3 5768 EULER OBSTRUCTION//LEGENDRIAN SINGULARITIES//GRP MATH SCI
4 9833 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
5 15516 WILLMORE SURFACES//MOBIUS METRIC//WILLMORE FUNCTIONAL
6 33471 CO ADAPTED COUPLING//SHIFT COUPLING//FINITARY ISOMORPHISM
7 23297 OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS
8 11345 KNOT ENERGY//ROPELENGTH//MOBIUS ENERGY
9 25244 REDUCED BODY//NORMED PLANE//BIRKHOFF ORTHOGONALITY
10 21182 GEOMETRIC MOMENTUM//GEOMETRIC POTENTIAL//SADOWSKY FUNCTIONAL

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