Class information for:
Level 1: HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19188 517 16.7 38%


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
19188 1                   HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY 517

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 HOPF CYCLIC COHOMOLOGY authKW 889395 3% 94% 16
2 CYCLIC COHOMOLOGY authKW 531517 5% 33% 27
3 CYCLIC HOMOLOGY authKW 497856 5% 30% 28
4 BIVARIANT CYCLIC COHOMOLOGY authKW 188995 1% 80% 4
5 DEP MATEMAT IMAS address 177184 1% 100% 3
6 BIDUAL BANACH ALGEBRA authKW 118123 0% 100% 2
7 BIVARIANT ALGEBRAIC K THEORY authKW 118123 0% 100% 2
8 BORNOLOGICAL ALGEBRAS authKW 118123 0% 100% 2
9 C HILBERT BUNDLES authKW 118123 0% 100% 2
10 CALKINS THEOREM authKW 118123 0% 100% 2

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 24906 93% 0% 482
2 Mathematics, Applied 1569 23% 0% 117
3 Physics, Mathematical 415 9% 0% 44
4 Engineering, Aerospace 1 0% 0% 2
5 Engineering, General -0 0% 0% 2
6 Thermodynamics -1 0% 0% 2
7 Mechanics -1 1% 0% 4
8 Energy & Fuels -2 0% 0% 2
9 Engineering, Mechanical -3 0% 0% 1
10 Engineering, Chemical -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 DEP MATEMAT IMAS 177184 1% 100% 3
2 CICLO BASICA COMUN 59061 0% 100% 1
3 EQUIP TOPOL DYNAM 59061 0% 100% 1
4 KATEDRA METOD METEMAT FIZYKI 59061 0% 100% 1
5 UA 399 59061 0% 100% 1
6 UMR MATH 6621 59061 0% 100% 1
7 MATEMAT IMAS 59059 0% 50% 2
8 MATH ECOLE POLYTECH 29530 0% 50% 1
9 PURE MATHS 29530 0% 50% 1
10 UMR 8850 29530 0% 50% 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 K-THEORY 88052 5% 6% 25
2 JOURNAL OF NONCOMMUTATIVE GEOMETRY 56598 3% 6% 16
3 JOURNAL OF K-THEORY 32192 2% 5% 12
4 JOURNAL OF PURE AND APPLIED ALGEBRA 28460 10% 1% 53
5 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 25949 12% 1% 61
6 HOMOLOGY HOMOTOPY AND APPLICATIONS 12912 2% 2% 9
7 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 6858 1% 2% 5
8 COMMUNICATIONS IN ALGEBRA 5469 6% 0% 30
9 DOCUMENTA MATHEMATICA 3992 1% 1% 5
10 COMMENTARII MATHEMATICI HELVETICI 2963 2% 1% 8

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 HOPF CYCLIC COHOMOLOGY 889395 3% 94% 16 Search HOPF+CYCLIC+COHOMOLOGY Search HOPF+CYCLIC+COHOMOLOGY
2 CYCLIC COHOMOLOGY 531517 5% 33% 27 Search CYCLIC+COHOMOLOGY Search CYCLIC+COHOMOLOGY
3 CYCLIC HOMOLOGY 497856 5% 30% 28 Search CYCLIC+HOMOLOGY Search CYCLIC+HOMOLOGY
4 BIVARIANT CYCLIC COHOMOLOGY 188995 1% 80% 4 Search BIVARIANT+CYCLIC+COHOMOLOGY Search BIVARIANT+CYCLIC+COHOMOLOGY
5 BIDUAL BANACH ALGEBRA 118123 0% 100% 2 Search BIDUAL+BANACH+ALGEBRA Search BIDUAL+BANACH+ALGEBRA
6 BIVARIANT ALGEBRAIC K THEORY 118123 0% 100% 2 Search BIVARIANT+ALGEBRAIC+K+THEORY Search BIVARIANT+ALGEBRAIC+K+THEORY
7 BORNOLOGICAL ALGEBRAS 118123 0% 100% 2 Search BORNOLOGICAL+ALGEBRAS Search BORNOLOGICAL+ALGEBRAS
8 C HILBERT BUNDLES 118123 0% 100% 2 Search C+HILBERT+BUNDLES Search C+HILBERT+BUNDLES
9 CALKINS THEOREM 118123 0% 100% 2 Search CALKINS+THEOREM Search CALKINS+THEOREM
10 CUNTZ QUILLEN THEORY 118123 0% 100% 2 Search CUNTZ+QUILLEN+THEORY Search CUNTZ+QUILLEN+THEORY

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 HASSANZADEH, M , KHALKHALI, M , (2015) CUP COPRODUCTS IN HOPF CYCLIC COHOMOLOGY.JOURNAL OF HOMOTOPY AND RELATED STRUCTURES. VOL. 10. ISSUE 3. P. 347 -373 19 95% 0
2 HASSANZADEH, M , (2014) ON CYCLIC COHOMOLOGY OF X-HOPF ALGEBRAS.JOURNAL OF K-THEORY. VOL. 13. ISSUE 1. P. 147 -170 18 78% 0
3 CUNTZ, J , (2013) QUILLEN'S WORK ON THE FOUNDATIONS OF CYCLIC COHOMOLOGY.JOURNAL OF K-THEORY. VOL. 11. ISSUE 3. P. 559-574 16 89% 0
4 HASSANZADEH, M , RANGIPOUR, B , (2013) EQUIVARIANT HOPF GALOIS EXTENSIONS AND HOPF CYCLIC COHOMOLOGY.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 7. ISSUE 1. P. 105-133 15 94% 0
5 HASSANZADEH, M , KUCEROVSKY, D , RANGIPOUR, B , (2014) GENERALIZED COEFFICIENTS FOR HOPF CYCLIC COHOMOLOGY.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 10. ISSUE . P. - 13 100% 0
6 KAYGUN, A , (2010) UNIQUENESS OF PAIRINGS IN HOPF-CYCLIC COHOMOLOGY.JOURNAL OF K-THEORY. VOL. 6. ISSUE 1. P. 1-21 14 93% 4
7 MOSCOVICI, H , RANGIPOUR, B , (2011) HOPF CYCLIC COHOMOLOGY AND TRANSVERSE CHARACTERISTIC CLASSES.ADVANCES IN MATHEMATICS. VOL. 227. ISSUE 1. P. 654-729 12 100% 1
8 KAYGUN, A , (2008) PRODUCTS IN HOPF-CYCLIC COHOMOLOGY.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 10. ISSUE 2. P. 115-133 13 93% 6
9 RANGIPOUR, B , SUTLU, S , (2015) CHARACTERISTIC CLASSES OF FOLIATIONS VIA SAYD-TWISTED COCYCLES.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 9. ISSUE 3. P. 965 -998 10 100% 0
10 CORTINAS, G , THOM, A , (2008) COMPARISON BETWEEN ALGEBRAIC AND TOPOLOGICAL K-THEORY OF LOCALLY CONVEX ALGEBRAS.ADVANCES IN MATHEMATICS. VOL. 218. ISSUE 1. P. 266-307 14 82% 8

Classes with closest relation at Level 1


Rank Class id link
1 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
2 6559 MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES
3 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
4 7348 MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY
5 32134 DOMINION//SPECIAL AMALGAM//DECOMPOSABLE VARIETY
6 10218 LUSTERNIK SCHNIRELMANN CATEGORY//LS CATEGORY//RATIONAL HOMOTOPY
7 12197 DEFORMATION QUANTIZATION//STAR PRODUCT//LETTERS IN MATHEMATICAL PHYSICS
8 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
9 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
10 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS

Go to start page