Class information for:
Level 1: ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10155 1087 22.6 37%


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
2083 2             ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION 5216
10155 1                   ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE 1087

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 ASYMPTOTIC DIMENSION authKW 1476461 5% 91% 58
2 COARSE GEOMETRY authKW 1038750 4% 86% 43
3 BAUM CONNES CONJECTURE authKW 908041 4% 79% 41
4 NOVIKOV CONJECTURE authKW 557914 2% 83% 24
5 KK THEORY authKW 341262 2% 45% 27
6 ROE ALGEBRAS authKW 308988 1% 100% 11
7 HIGHER INDEX THEORY authKW 280898 1% 100% 10
8 PROPERTY A authKW 280480 2% 37% 27
9 COARSE BAUM CONNES CONJECTURE authKW 252809 1% 100% 9
10 INDEX THEORY authKW 247502 3% 25% 35

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 54771 95% 0% 1036
2 Mathematics, Applied 1347 15% 0% 163
3 Physics, Mathematical 424 6% 0% 67
4 Multidisciplinary Sciences 1 0% 0% 5
5 Medieval & Renaissance Studies 1 0% 0% 1
6 Developmental Biology -3 0% 0% 1
7 Evolutionary Biology -3 0% 0% 1
8 Mathematics, Interdisciplinary Applications -4 0% 0% 1
9 Statistics & Probability -4 0% 0% 1
10 Physics, Particles & Fields -6 0% 0% 3

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 INSITUT ANAL 84270 0% 100% 3
2 COURANT HIGHER ORDER STRUCT 71089 1% 28% 9
3 HBEREICH MATH 17 64186 1% 19% 12
4 OPERATOR ALGEBRAS 45956 1% 27% 6
5 SFB 478 32097 0% 29% 4
6 STEVENSON 1326 29795 1% 10% 11
7 CS 50128 28090 0% 100% 1
8 EMIL PICARD 28090 0% 100% 1
9 EQUIPE ANAL GEOMETRIE MODELISAT 28090 0% 100% 1
10 EQUIPE TOPOL DYNAM BATIMENT 425 28090 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 K-THEORY 195395 5% 13% 54
2 JOURNAL OF NONCOMMUTATIVE GEOMETRY 114511 3% 12% 33
3 JOURNAL OF K-THEORY 56244 2% 9% 23
4 JOURNAL OF TOPOLOGY AND ANALYSIS 38841 1% 9% 16
5 JOURNAL OF FUNCTIONAL ANALYSIS 38195 9% 1% 94
6 GEOMETRIC AND FUNCTIONAL ANALYSIS 15407 2% 2% 24
7 JOURNAL OF OPERATOR THEORY 12623 2% 2% 24
8 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 6658 4% 1% 45
9 JOURNAL OF DIFFERENTIAL GEOMETRY 5903 2% 1% 19
10 ADVANCES IN MATHEMATICS 5729 3% 1% 31

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 ASYMPTOTIC DIMENSION 1476461 5% 91% 58 Search ASYMPTOTIC+DIMENSION Search ASYMPTOTIC+DIMENSION
2 COARSE GEOMETRY 1038750 4% 86% 43 Search COARSE+GEOMETRY Search COARSE+GEOMETRY
3 BAUM CONNES CONJECTURE 908041 4% 79% 41 Search BAUM+CONNES+CONJECTURE Search BAUM+CONNES+CONJECTURE
4 NOVIKOV CONJECTURE 557914 2% 83% 24 Search NOVIKOV+CONJECTURE Search NOVIKOV+CONJECTURE
5 KK THEORY 341262 2% 45% 27 Search KK+THEORY Search KK+THEORY
6 ROE ALGEBRAS 308988 1% 100% 11 Search ROE+ALGEBRAS Search ROE+ALGEBRAS
7 HIGHER INDEX THEORY 280898 1% 100% 10 Search HIGHER+INDEX+THEORY Search HIGHER+INDEX+THEORY
8 PROPERTY A 280480 2% 37% 27 Search PROPERTY+A Search PROPERTY+A
9 COARSE BAUM CONNES CONJECTURE 252809 1% 100% 9 Search COARSE+BAUM+CONNES+CONJECTURE Search COARSE+BAUM+CONNES+CONJECTURE
10 INDEX THEORY 247502 3% 25% 35 Search INDEX+THEORY Search INDEX+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 DEELEY, RJ , GOFFENG, M , (2016) REALIZING THE ANALYTIC SURGERY GROUP OF HIGSON AND ROE GEOMETRICALLY PART II: RELATIVE -INVARIANTS.MATHEMATISCHE ANNALEN. VOL. 366. ISSUE 3-4. P. 1319 -1363 21 100% 0
2 LAFFORGUE, V , (2002) BIVARIANT K-THEORY FOR BANACH ALGEBRAS AND BAUM-CONNES CONJECTURE.INVENTIONES MATHEMATICAE. VOL. 149. ISSUE 1. P. 1 -95 27 96% 83
3 NISTOR, V , (2016) ANALYSIS ON SINGULAR SPACES: LIE MANIFOLDS AND OPERATOR ALGEBRAS.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 105. ISSUE . P. 75 -101 37 51% 1
4 DEELEY, RJ , GOFFENG, M , (2016) REALIZING THE ANALYTIC SURGERY GROUP OF HIGSON AND ROE GEOMETRICALLY PART III: HIGHER INVARIANTS.MATHEMATISCHE ANNALEN. VOL. 366. ISSUE 3-4. P. 1513 -1559 22 92% 0
5 NISTOR, V , TROITSKY, E , (2015) ANALYSIS OF GAUGE-EQUIVARIANT COMPLEXES AND A TOPOLOGICAL INDEX THEOREM FOR GAUGE-INVARIANT FAMILIES.RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. VOL. 22. ISSUE 1. P. 74 -97 24 83% 0
6 KORDYUKOV, YA , (2009) INDEX THEORY AND NON-COMMUTATIVE GEOMETRY ON FOLIATED MANIFOLDS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 64. ISSUE 2. P. 273 -391 46 47% 4
7 PUSCHNIGG, M , (2014) THE BAUM-CONNES CONJECTURE WITH COEFFICIENTS FOR WORD-HYPERBOLIC GROUPS [AFTER VINCENT LAFFORGUE].ASTERISQUE. VOL. . ISSUE 361. P. 115 -+ 23 82% 0
8 MORIYOSHI, H , PIAZZA, P , (2012) ETA COCYCLES, RELATIVE PAIRINGS AND THE GODBILLON-VEY INDEX THEOREM.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 22. ISSUE 6. P. 1708-1813 23 85% 1
9 CHEN, XM , WANG, Q , YU, GL , (2013) THE MAXIMAL COARSE BAUM-CONNES CONJECTURE FOR SPACES WHICH ADMIT A FIBRED COARSE EMBEDDING INTO HILBERT SPACE.ADVANCES IN MATHEMATICS. VOL. 249. ISSUE . P. 88 -130 20 91% 6
10 WAHL, C , (2013) HIGHER RHO-INVARIANTS AND THE SURGERY STRUCTURE SET.JOURNAL OF TOPOLOGY. VOL. 6. ISSUE 1. P. 154-192 19 95% 4

Classes with closest relation at Level 1


Rank Class id link
1 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
2 6045 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP
3 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
4 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
5 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES
6 30501 INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL
7 16652 TWISTED K THEORY//GERBE//DIRAC COHOMOLOGY
8 8105 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION
9 11278 SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS
10 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS

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