Class information for:
Level 1: LUSTERNIK SCHNIRELMANN CATEGORY//LS CATEGORY//RATIONAL HOMOTOPY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10218 1081 16.3 29%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
953 2             MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 10826
10218 1                   LUSTERNIK SCHNIRELMANN CATEGORY//LS CATEGORY//RATIONAL HOMOTOPY 1081

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LUSTERNIK SCHNIRELMANN CATEGORY authKW 880812 5% 57% 55
2 LS CATEGORY authKW 515232 2% 79% 23
3 RATIONAL HOMOTOPY authKW 477335 2% 65% 26
4 SULLIVAN MODEL authKW 407860 2% 76% 19
5 GOTTLIEB GROUP authKW 395441 1% 100% 14
6 RATIONAL HOMOTOPY THEORY authKW 369741 2% 55% 24
7 SECTIONAL CATEGORY authKW 338949 1% 100% 12
8 SULLIVAN MINIMAL MODEL authKW 318232 1% 87% 13
9 TOPOLOGICAL COMPLEXITY authKW 295783 2% 44% 24
10 SAMELSON PRODUCT authKW 284810 1% 92% 11

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 58495 99% 0% 1067
2 Mathematics, Applied 6068 30% 0% 327
3 Multidisciplinary Sciences 8 1% 0% 8
4 Statistics & Probability -1 0% 0% 4
5 Sociology -2 0% 0% 1
6 Computer Science, Software Engineering -2 0% 0% 2
7 Computer Science, Theory & Methods -3 0% 0% 3
8 Education & Educational Research -4 0% 0% 1
9 Computer Science, Interdisciplinary Applications -4 0% 0% 2
10 Physics, Mathematical -5 0% 0% 2

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CNRS 6093 56492 0% 100% 2
2 MATH JEAN DIEUDONNE 56492 0% 100% 2
3 URA CNRS 0751 56492 0% 100% 2
4 WELF BUSINESS 56492 0% 100% 2
5 COMP MATH PHYS SCI 39223 0% 28% 5
6 A RAZAMDZE MATH 28246 0% 100% 1
7 EQUIPE GEOMETRIE ANAL NON LINEAIRE 28246 0% 100% 1
8 GEOMETRIE ALGEBRE OGA 28246 0% 100% 1
9 ICMAT CIENCIAS MATEMAT CSIC UAM UCM UC3M 28246 0% 100% 1
10 IGATBCH 28246 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 TOPOLOGY AND ITS APPLICATIONS 58133 10% 2% 112
2 JOURNAL OF PURE AND APPLIED ALGEBRA 37488 8% 2% 88
3 TOPOLOGY 22169 3% 2% 32
4 BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 20528 3% 3% 29
5 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 17236 2% 2% 27
6 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 15876 1% 5% 11
7 ALGEBRAIC AND GEOMETRIC TOPOLOGY 13741 2% 2% 24
8 HOMOLOGY HOMOTOPY AND APPLICATIONS 12876 1% 4% 13
9 MANUSCRIPTA MATHEMATICA 8880 3% 1% 32
10 LECTURE NOTES IN MATHEMATICS 8668 4% 1% 47

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 LUSTERNIK SCHNIRELMANN CATEGORY 880812 5% 57% 55 Search LUSTERNIK+SCHNIRELMANN+CATEGORY Search LUSTERNIK+SCHNIRELMANN+CATEGORY
2 LS CATEGORY 515232 2% 79% 23 Search LS+CATEGORY Search LS+CATEGORY
3 RATIONAL HOMOTOPY 477335 2% 65% 26 Search RATIONAL+HOMOTOPY Search RATIONAL+HOMOTOPY
4 SULLIVAN MODEL 407860 2% 76% 19 Search SULLIVAN+MODEL Search SULLIVAN+MODEL
5 GOTTLIEB GROUP 395441 1% 100% 14 Search GOTTLIEB+GROUP Search GOTTLIEB+GROUP
6 RATIONAL HOMOTOPY THEORY 369741 2% 55% 24 Search RATIONAL+HOMOTOPY+THEORY Search RATIONAL+HOMOTOPY+THEORY
7 SECTIONAL CATEGORY 338949 1% 100% 12 Search SECTIONAL+CATEGORY Search SECTIONAL+CATEGORY
8 SULLIVAN MINIMAL MODEL 318232 1% 87% 13 Search SULLIVAN+MINIMAL+MODEL Search SULLIVAN+MINIMAL+MODEL
9 TOPOLOGICAL COMPLEXITY 295783 2% 44% 24 Search TOPOLOGICAL+COMPLEXITY Search TOPOLOGICAL+COMPLEXITY
10 SAMELSON PRODUCT 284810 1% 92% 11 Search SAMELSON+PRODUCT Search SAMELSON+PRODUCT

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 THOMAS, JC , (1994) HOMOLOGY OF LOOP-SPACES, PROBLEMS AND QUESTIONS.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 91. ISSUE 1-3. P. 355-379 34 94% 2
2 GRANT, M , LUPTON, G , OPREA, J , (2015) A MAPPING THEOREM FOR TOPOLOGICAL COMPLEXITY.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 15. ISSUE 3. P. 1643 -1666 17 100% 0
3 YAMAGUCHI, T , (2010) A RATIONAL OBSTRUCTION TO BE A GOTTLIEB MAP.JOURNAL OF HOMOTOPY AND RELATED STRUCTURES. VOL. 5. ISSUE 1. P. 97 -111 14 100% 1
4 KURIBAYASHI, K , (2002) THE COHOMOLOGY OF A PULL-BACK ON K-FORMAL SPACES.TOPOLOGY AND ITS APPLICATIONS. VOL. 125. ISSUE 1. P. 125-159 19 90% 3
5 ARKOWITZ, M , STANLEY, D , STROM, J , (2004) THE CONE LENGTH AND CATEGORY OF MAPS: PUSHOUTS, PRODUCTS AND FIBRATIONS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 11. ISSUE 4. P. 517-545 17 94% 0
6 THOMAS, JC , VIGUE-POIRRIER, M , (2013) DANIEL QUILLEN, THE FATHER OF ABSTRACT HOMOTOPY THEORY.JOURNAL OF K-THEORY. VOL. 11. ISSUE 3. P. 479-491 17 71% 0
7 STELZER, M , (2009) LUSTERNIK-SCHNIRELMANN CATEGORY AND PRODUCTS OF LOCAL SPACES.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 11. ISSUE 2. P. 275-307 13 100% 0
8 KISHIMOTO, D , KONO, A , TSUTAYA, M , (2013) MOD P DECOMPOSITIONS OF GAUGE GROUPS.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 13. ISSUE 3. P. 1757-1778 14 82% 2
9 KURIBAYASHI, K , (2011) RATIONAL VISIBILITY OF A LIE GROUP IN THE MONOID OF SELF-HOMOTOPY EQUIVALENCES OF A HOMOGENEOUS SPACE.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 13. ISSUE 1. P. 349 -379 14 88% 0
10 TSUTAYA, M , (2016) MAPPING SPACES FROM PROJECTIVE SPACES.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 18. ISSUE 1. P. 173 -203 13 81% 0

Classes with closest relation at Level 1


Rank Class id link
1 27891 SIMPLICIAL VOLUME//SELF HOMOTOPY EQUIVALENCE//RELATIVE BOUNDED COHOMOLOGY
2 35850 CHARACTERISTIC RANK//CUP LENGTH//ALGEBRA GEOMETRY MATH EDUC
3 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
4 7754 FUSION SYSTEMS//STEENROD ALGEBRA//P COMPACT GROUP
5 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
6 9929 ADAMS SPECTRAL SEQUENCE//MORAVA K THEORY//MAY SPECTRAL SEQUENCE
7 22801 PROPER G SPACE//G ANR//ORBIT SPACE
8 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES
9 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX
10 12903 HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY

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