Class information for:
Level 1: MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6559 1470 22.1 36%


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

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 MODEL CATEGORY authKW 850721 4% 64% 64
2 ALGEBRAIC K THEORY authKW 410702 3% 43% 46
3 DG CATEGORIES authKW 362530 2% 73% 24
4 NONCOMMUTATIVE MOTIVES authKW 315929 1% 89% 17
5 HOMOLOGY HOMOTOPY AND APPLICATIONS journal 299037 5% 20% 73
6 DERIVED CATEGORY authKW 294382 4% 22% 65
7 TRIANGULATED CATEGORIES authKW 236560 2% 42% 27
8 TOPOLOGICAL HOCHSCHILD HOMOLOGY authKW 234013 1% 87% 13
9 RING SPECTRUM authKW 199394 1% 80% 12
10 GENERATING HYPOTHESIS authKW 186936 1% 100% 9

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 80107 99% 0% 1456
2 Mathematics, Applied 6848 28% 0% 407
3 Physics, Mathematical 7 1% 0% 20
4 Multidisciplinary Sciences -2 0% 0% 1
5 Computer Science, Interdisciplinary Applications -8 0% 0% 1
6 Computer Science, Theory & Methods -9 0% 0% 1
7 Infectious Diseases -11 0% 0% 1
8 Physics, Particles & Fields -11 0% 0% 2
9 Public, Environmental & Occupational Health -21 0% 0% 1

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 BIREP GRP 166165 1% 100% 8
2 FCTCMA 62312 0% 100% 3
3 FCT MATEMAT 46733 0% 75% 3
4 CMA 45619 2% 7% 31
5 DWIS 43977 0% 35% 6
6 ESC SUP ENX INFORMAT 41541 0% 100% 2
7 LEHRSTUHL ANAL GEOMETRIE 41541 0% 100% 2
8 SORBONNE PARIS CITEUMR 7126 41541 0% 100% 2
9 AUSTRALIAN CATEGORY THEORY 32447 0% 31% 5
10 ALGEBRA SECT 28750 0% 23% 6

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 299037 5% 20% 73
2 JOURNAL OF K-THEORY 113544 3% 14% 38
3 ALGEBRAIC AND GEOMETRIC TOPOLOGY 109708 5% 7% 79
4 JOURNAL OF PURE AND APPLIED ALGEBRA 90101 11% 3% 159
5 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 70380 2% 13% 27
6 K-THEORY 57243 2% 8% 34
7 THEORY AND APPLICATIONS OF CATEGORIES 51197 2% 9% 26
8 ADVANCES IN MATHEMATICS 39183 6% 2% 94
9 JOURNAL OF TOPOLOGY 35776 2% 7% 24
10 GEOMETRY & TOPOLOGY 24499 2% 4% 32

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 MODEL CATEGORY 850721 4% 64% 64 Search MODEL+CATEGORY Search MODEL+CATEGORY
2 ALGEBRAIC K THEORY 410702 3% 43% 46 Search ALGEBRAIC+K+THEORY Search ALGEBRAIC+K+THEORY
3 DG CATEGORIES 362530 2% 73% 24 Search DG+CATEGORIES Search DG+CATEGORIES
4 NONCOMMUTATIVE MOTIVES 315929 1% 89% 17 Search NONCOMMUTATIVE+MOTIVES Search NONCOMMUTATIVE+MOTIVES
5 DERIVED CATEGORY 294382 4% 22% 65 Search DERIVED+CATEGORY Search DERIVED+CATEGORY
6 TRIANGULATED CATEGORIES 236560 2% 42% 27 Search TRIANGULATED+CATEGORIES Search TRIANGULATED+CATEGORIES
7 TOPOLOGICAL HOCHSCHILD HOMOLOGY 234013 1% 87% 13 Search TOPOLOGICAL+HOCHSCHILD+HOMOLOGY Search TOPOLOGICAL+HOCHSCHILD+HOMOLOGY
8 RING SPECTRUM 199394 1% 80% 12 Search RING+SPECTRUM Search RING+SPECTRUM
9 GENERATING HYPOTHESIS 186936 1% 100% 9 Search GENERATING+HYPOTHESIS Search GENERATING+HYPOTHESIS
10 GHOST MAP 186936 1% 100% 9 Search GHOST+MAP Search GHOST+MAP

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 BLUMBERG, AJ , GEPNER, D , TABUADA, G , (2013) A UNIVERSAL CHARACTERIZATION OF HIGHER ALGEBRAIC K-THEORY.GEOMETRY & TOPOLOGY. VOL. 17. ISSUE 2. P. 733-838 41 87% 11
2 TABUADA, G , BLUMBERG, AJ , GEPNER, D , (2014) UNIQUENESS OF THE MULTIPLICATIVE CYCLOTOMIC TRACE.ADVANCES IN MATHEMATICS. VOL. 260. ISSUE . P. 191 -232 27 100% 1
3 BARWICK, C , (2016) ON THE ALGEBRAIC K-THEORY OF HIGHER CATEGORIES.JOURNAL OF TOPOLOGY. VOL. 9. ISSUE 1. P. 245 -347 27 84% 1
4 HARPER, JE , HESS, K , (2013) HOMOTOPY COMPLETION AND TOPOLOGICAL QUILLEN HOMOLOGY OF STRUCTURED RING SPECTRA.GEOMETRY & TOPOLOGY. VOL. 17. ISSUE 3. P. 1325-1416 29 88% 3
5 ROBALO, M , (2015) K-THEORY AND THE BRIDGE FROM MOTIVES TO NONCOMMUTATIVE MOTIVES.ADVANCES IN MATHEMATICS. VOL. 269. ISSUE . P. 399 -550 27 75% 0
6 TABUADA, G , (2010) GENERALIZED SPECTRAL CATEGORIES, TOPOLOGICAL HOCHSCHILD HOMOLOGY AND TRACE MAPS.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 10. ISSUE 1. P. 137 -213 23 92% 2
7 CISINSKI, DC , TABUADA, G , (2012) SYMMETRIC MONOIDAL STRUCTURE ON NON-COMMUTATIVE MOTIVES.JOURNAL OF K-THEORY. VOL. 9. ISSUE 2. P. 201-268 21 88% 6
8 AUSONI, C , ROGNES, J , (2012) RATIONAL ALGEBRAIC K -THEORY OF TOPOLOGICAL K -THEORY.GEOMETRY & TOPOLOGY. VOL. 16. ISSUE 4. P. 2037-2065 20 91% 0
9 LUNTS, VA , SCHNURER, OM , (2016) MATRIX FACTORIZATIONS AND MOTIVIC MEASURES.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 10. ISSUE 3. P. 981 -1042 17 94% 0
10 CHING, M , HARPER, JE , (2016) HIGHER HOMOTOPY EXCISION AND BLAKERS-MASSEY THEOREMS FOR STRUCTURED RING SPECTRA.ADVANCES IN MATHEMATICS. VOL. 298. ISSUE . P. 654 -692 16 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
2 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
3 7348 MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY
4 8019 THEORY AND APPLICATIONS OF CATEGORIES//CROSSED MODULE//SEMI ABELIAN CATEGORY
5 9929 ADAMS SPECTRAL SEQUENCE//MORAVA K THEORY//MAY SPECTRAL SEQUENCE
6 7754 FUSION SYSTEMS//STEENROD ALGEBRA//P COMPACT GROUP
7 4784 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
8 22801 PROPER G SPACE//G ANR//ORBIT SPACE
9 32134 DOMINION//SPECIAL AMALGAM//DECOMPOSABLE VARIETY
10 7888 DERIVED CATEGORY//EXCEPTIONAL COLLECTION//FOURIER MUKAI TRANSFORM

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