Class information for:
Level 2: MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
953 10826 19.3 31%


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
6559 1                   MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES 1470
7348 1                   MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY 1378
7754 1                   FUSION SYSTEMS//STEENROD ALGEBRA//P COMPACT GROUP 1332
9929 1                   ADAMS SPECTRAL SEQUENCE//MORAVA K THEORY//MAY SPECTRAL SEQUENCE 1106
10218 1                   LUSTERNIK SCHNIRELMANN CATEGORY//LS CATEGORY//RATIONAL HOMOTOPY 1081
11278 1                   SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS 994
14464 1                   MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP 768
14883 1                   STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS 744
19188 1                   HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY 517
19910 1                   SMALL COVER//QUASITORIC MANIFOLD//ELLIPTIC GENERA 484
22801 1                   PROPER G SPACE//G ANR//ORBIT SPACE 368
27891 1                   SIMPLICIAL VOLUME//SELF HOMOTOPY EQUIVALENCE//RELATIVE BOUNDED COHOMOLOGY 218
29962 1                   FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES 177
35391 1                   Z2K ACTION//PROJECTIVE SPACE BUNDLE//FIXED DATA 98
35850 1                   CHARACTERISTIC RANK//CUP LENGTH//ALGEBRA GEOMETRY MATH EDUC 91

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 MATHEMATICS WoSSC 573623 98% 2% 10576
2 HOMOLOGY HOMOTOPY AND APPLICATIONS journal 335765 2% 57% 210
3 ALGEBRAIC AND GEOMETRIC TOPOLOGY journal 250281 3% 27% 324
4 JOURNAL OF PURE AND APPLIED ALGEBRA journal 248925 7% 12% 718
5 TOPOLOGY journal 206388 3% 24% 309
6 ALGEBRAIC K THEORY authKW 203962 1% 82% 88
7 K-THEORY journal 198808 2% 41% 172
8 MODEL CATEGORY authKW 180358 1% 80% 80
9 JOURNAL OF K-THEORY journal 164031 1% 47% 124
10 STEENROD ALGEBRA authKW 153914 1% 85% 64

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 573623 98% 2% 10576
2 Mathematics, Applied 33311 23% 1% 2466
3 Physics, Mathematical 115 2% 0% 178
4 Multidisciplinary Sciences -2 0% 0% 22
5 Andrology -3 0% 0% 1
6 Logic -3 0% 0% 1
7 Humanities, Multidisciplinary -12 0% 0% 1
8 Engineering, Aerospace -21 0% 0% 2
9 Computer Science, Theory & Methods -25 0% 0% 35
10 Computer Science, Hardware & Architecture -28 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 MATH 97748 36% 1% 3866
2 LAGA 24791 1% 13% 67
3 BIREP GRP 22549 0% 100% 8
4 ALGEBRA GEOMETRY MATH EDUC 20752 0% 82% 9
5 UMR 6093 19848 0% 41% 17
6 MATEMAT 13927 4% 1% 389
7 UMR 7539 11489 0% 13% 32
8 MATH SCI 11333 6% 1% 598
9 JEAN DIEUDONNE 11270 0% 67% 6
10 ALGEBRA GEOMETRIA TOPOL 11063 0% 12% 33

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 HOMOLOGY HOMOTOPY AND APPLICATIONS 335765 2% 57% 210
2 ALGEBRAIC AND GEOMETRIC TOPOLOGY 250281 3% 27% 324
3 JOURNAL OF PURE AND APPLIED ALGEBRA 248925 7% 12% 718
4 TOPOLOGY 206388 3% 24% 309
5 K-THEORY 198808 2% 41% 172
6 JOURNAL OF K-THEORY 164031 1% 47% 124
7 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 144428 1% 49% 105
8 TOPOLOGY AND ITS APPLICATIONS 98656 4% 8% 463
9 JOURNAL OF TOPOLOGY 66714 1% 27% 89
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 65559 4% 5% 463

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 ALGEBRAIC K THEORY 203962 1% 82% 88 Search ALGEBRAIC+K+THEORY Search ALGEBRAIC+K+THEORY
2 MODEL CATEGORY 180358 1% 80% 80 Search MODEL+CATEGORY Search MODEL+CATEGORY
3 STEENROD ALGEBRA 153914 1% 85% 64 Search STEENROD+ALGEBRA Search STEENROD+ALGEBRA
4 ADAMS SPECTRAL SEQUENCE 145861 1% 89% 58 Search ADAMS+SPECTRAL+SEQUENCE Search ADAMS+SPECTRAL+SEQUENCE
5 RATIONAL HOMOTOPY THEORY 107678 0% 93% 41 Search RATIONAL+HOMOTOPY+THEORY Search RATIONAL+HOMOTOPY+THEORY
6 CLASSIFYING SPACE 107218 1% 52% 73 Search CLASSIFYING+SPACE Search CLASSIFYING+SPACE
7 OPERADS 105024 1% 48% 77 Search OPERADS Search OPERADS
8 LUSTERNIK SCHNIRELMANN CATEGORY 97704 1% 60% 58 Search LUSTERNIK+SCHNIRELMANN+CATEGORY Search LUSTERNIK+SCHNIRELMANN+CATEGORY
9 K THEORY 83367 1% 26% 116 Search K+THEORY Search K+THEORY
10 MAPPING CLASS GROUP 82645 1% 30% 98 Search MAPPING+CLASS+GROUP Search MAPPING+CLASS+GROUP

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 ASCHBACHER, M , OLIVER, B , (2016) FUSION SYSTEMS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 53. ISSUE 4. P. 555 -615 59 83% 0
2 BLUMBERG, AJ , GEPNER, D , TABUADA, G , (2013) A UNIVERSAL CHARACTERIZATION OF HIGHER ALGEBRAIC K-THEORY.GEOMETRY & TOPOLOGY. VOL. 17. ISSUE 2. P. 733-838 45 96% 11
3 ANDERSEN, KKS , GRODAL, J , MOLLER, JM , VIRUEL, A , (2008) THE CLASSIFICATION OF P-COMPACT GROUPS FOR P ODD.ANNALS OF MATHEMATICS. VOL. 167. ISSUE 1. P. 95-210 50 85% 26
4 ROGNES, J , (2008) GALOIS EXTENSIONS OF STRUCTURED RING SPECTRA.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 192. ISSUE 898. P. 3 -+ 42 98% 0
5 BLANC, A , (2016) TOPOLOGICAL K-THEORY OF COMPLEX NONCOMMUTATIVE SPACES.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 3. P. 489 -555 34 89% 1
6 SAM, SV , SNOWDEN, A , (2017) GROBNER METHODS FOR REPRESENTATIONS OF COMBINATORIAL CATEGORIES.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 30. ISSUE 1. P. 159 -203 23 66% 2
7 HARPER, JE , HESS, K , (2013) HOMOTOPY COMPLETION AND TOPOLOGICAL QUILLEN HOMOLOGY OF STRUCTURED RING SPECTRA.GEOMETRY & TOPOLOGY. VOL. 17. ISSUE 3. P. 1325-1416 33 100% 3
8 ROBALO, M , (2015) K-THEORY AND THE BRIDGE FROM MOTIVES TO NONCOMMUTATIVE MOTIVES.ADVANCES IN MATHEMATICS. VOL. 269. ISSUE . P. 399 -550 34 94% 0
9 BARBIERI-VIALE, L , KAHN, B , (2016) ON THE DERIVED CATEGORY OF 1-MOTIVES.ASTERISQUE. VOL. . ISSUE 381. P. 1 -+ 38 81% 0
10 WAHL, N , WESTERLAND, C , (2016) HOCHSCHILD HOMOLOGY OF STRUCTURED ALGEBRAS.ADVANCES IN MATHEMATICS. VOL. 288. ISSUE . P. 240 -307 32 86% 1

Classes with closest relation at Level 2


Rank Class id link
1 2083 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION
2 1679 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION//MATHEMATICS//CONJUGACY PROBLEM
3 885 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
4 507 MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE
5 1635 APPLIED CATEGORICAL STRUCTURES//FUZZY TOPOLOGY//FUZZY SETS AND SYSTEMS
6 552 JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY
7 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
8 376 JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA
9 1918 HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA
10 1267 COMMUNICATIONS IN ALGEBRA//MATHEMATICS//PRUFER DOMAIN

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