Class information for:
Level 1: LUSTERNIK SCHNIRELMANN CATEGORY//LS CATEGORY//SECTIONAL CATEGORY

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
1250 2             MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//JOURNAL OF PURE AND APPLIED ALGEBRA 9211
14971 1                   LUSTERNIK SCHNIRELMANN CATEGORY//LS CATEGORY//SECTIONAL CATEGORY 765

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LUSTERNIK SCHNIRELMANN CATEGORY authKW 1358645 8% 57% 58
2 LS CATEGORY authKW 887861 3% 86% 25
3 SECTIONAL CATEGORY authKW 494365 2% 100% 12
4 GOTTLIEB GROUP authKW 423738 2% 86% 12
5 TOPOLOGICAL COMPLEXITY authKW 416279 3% 42% 24
6 SULLIVAN MINIMAL MODEL authKW 370767 2% 75% 12
7 RATIONAL HOMOTOPY authKW 325537 2% 44% 18
8 SULLIVAN MODEL authKW 278480 2% 52% 13
9 ELLIPTIC SPACE authKW 224292 1% 78% 7
10 HOMOTOPY LIE ALGEBRA authKW 201861 1% 70% 7

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 41396 99% 0% 757
2 Mathematics, Applied 4391 31% 0% 234
3 Multidisciplinary Sciences 1 1% 0% 4
4 Statistics & Probability -0 1% 0% 4
5 Computer Science, Software Engineering -1 0% 0% 2
6 Sociology -1 0% 0% 1
7 Computer Science, Interdisciplinary Applications -2 0% 0% 2
8 Computer Science, Theory & Methods -2 0% 0% 2
9 Education & Educational Research -2 0% 0% 1
10 Engineering, Mechanical -6 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 URA CNRS 0751 123591 0% 100% 3
2 CNRS 6093 82394 0% 100% 2
3 MATH JEAN DIEUDONNE 82394 0% 100% 2
4 WELF BUSINESS 82394 0% 100% 2
5 COMP MATH PHYS SCI 57211 1% 28% 5
6 EQUIPE GEOMETRIE ANAL NON LINEAIRE 41197 0% 100% 1
7 GEOMETRIE ALGEBRE OGA 41197 0% 100% 1
8 ICMAT CIENCIAS MATEMAT CSIC UAM UCM UC3M 41197 0% 100% 1
9 IGATBCH 41197 0% 100% 1
10 INTERDISCRIPLINARY SCI TECHNOL 41197 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TOPOLOGY AND ITS APPLICATIONS 44110 11% 1% 82
2 JOURNAL OF PURE AND APPLIED ALGEBRA 34134 9% 1% 70
3 TOPOLOGY 32363 4% 2% 32
4 BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 25529 4% 2% 27
5 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 13829 1% 4% 9
6 ALGEBRAIC AND GEOMETRIC TOPOLOGY 12173 2% 2% 19
7 LECTURE NOTES IN MATHEMATICS 8224 5% 1% 38
8 ASTERISQUE 6826 2% 1% 16
9 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 5695 5% 0% 36
10 HOMOLOGY HOMOTOPY AND APPLICATIONS 5398 1% 2% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LUSTERNIK SCHNIRELMANN CATEGORY 1358645 8% 57% 58 Search LUSTERNIK+SCHNIRELMANN+CATEGORY Search LUSTERNIK+SCHNIRELMANN+CATEGORY
2 LS CATEGORY 887861 3% 86% 25 Search LS+CATEGORY Search LS+CATEGORY
3 SECTIONAL CATEGORY 494365 2% 100% 12 Search SECTIONAL+CATEGORY Search SECTIONAL+CATEGORY
4 GOTTLIEB GROUP 423738 2% 86% 12 Search GOTTLIEB+GROUP Search GOTTLIEB+GROUP
5 TOPOLOGICAL COMPLEXITY 416279 3% 42% 24 Search TOPOLOGICAL+COMPLEXITY Search TOPOLOGICAL+COMPLEXITY
6 SULLIVAN MINIMAL MODEL 370767 2% 75% 12 Search SULLIVAN+MINIMAL+MODEL Search SULLIVAN+MINIMAL+MODEL
7 RATIONAL HOMOTOPY 325537 2% 44% 18 Search RATIONAL+HOMOTOPY Search RATIONAL+HOMOTOPY
8 SULLIVAN MODEL 278480 2% 52% 13 Search SULLIVAN+MODEL Search SULLIVAN+MODEL
9 ELLIPTIC SPACE 224292 1% 78% 7 Search ELLIPTIC+SPACE Search ELLIPTIC+SPACE
10 HOMOTOPY LIE ALGEBRA 201861 1% 70% 7 Search HOMOTOPY+LIE+ALGEBRA Search HOMOTOPY+LIE+ALGEBRA

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 12854 SELF HOMOTOPY EQUIVALENCE//SAMELSON PRODUCT//PHANTOM MAP
2 11788 OPERADS//STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA
3 36905 CHARACTERISTIC RANK//CUP LENGTH//ALGEBRA GEOMETRY MATH EDUC
4 10052 HOPF CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY//CYCLIC COHOMOLOGY
5 32227 SIMPLICIAL VOLUME//RELATIVE BOUNDED COHOMOLOGY//2N MANIFOLDS
6 8522 FUSION SYSTEMS//P COMPACT GROUP//STEENROD ALGEBRA
7 10985 HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY
8 6875 MODEL CATEGORY//DG CATEGORIES//NONCOMMUTATIVE MOTIVES
9 22622 SMALL COVER//QUASITORIC MANIFOLD//POLYHEDRAL PRODUCT
10 24174 PROPER G SPACE//ORBIT SPACE//G ANR

Go to start page