Class information for:
Level 1: MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7348 1378 22.3 30%


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
7348 1                   MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY 1378

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 MOTIVIC COHOMOLOGY authKW 462879 2% 67% 31
2 ALGEBRAIC CYCLES authKW 361789 3% 36% 45
3 MOTIVIC HOMOTOPY THEORY authKW 358948 1% 90% 18
4 JOURNAL OF K-THEORY journal 253801 4% 21% 55
5 K-THEORY journal 216496 5% 15% 64
6 HERMITIAN K THEORY authKW 191500 1% 79% 11
7 MORPHIC COHOMOLOGY authKW 177260 1% 100% 8
8 SLICE FILTRATION authKW 157563 1% 89% 8
9 ALGEBRAIC K THEORY authKW 150921 2% 25% 27
10 CHOW VARIETIES authKW 138053 1% 69% 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 75894 100% 0% 1372
2 Mathematics, Applied 1770 15% 0% 210
3 Multidisciplinary Sciences -2 0% 0% 1
4 Computer Science, Hardware & Architecture -3 0% 0% 1
5 Rehabilitation -4 0% 0% 1
6 Statistics & Probability -6 0% 0% 1
7 Computer Science, Information Systems -7 0% 0% 1
8 Physics, Mathematical -8 0% 0% 1
9 Physics, Multidisciplinary -25 0% 0% 1
10 Engineering, Electrical & Electronic -40 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 JEAN DIEUDONNE 61544 0% 56% 5
2 SANTALO 44315 0% 100% 2
3 SFB 478 25317 0% 29% 4
4 ALG GEOM TOP 22158 0% 100% 1
5 EDINBURGH HODGE 22158 0% 100% 1
6 EEE ELECT ELECT ENGN 22158 0% 100% 1
7 HBEREICH PHYS MATH INFORMA 22158 0% 100% 1
8 IPDE 22158 0% 100% 1
9 MATH ALGEBRA GEOMETRY HIGHER ECON 22158 0% 100% 1
10 MATH ICMC 22158 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 JOURNAL OF K-THEORY 253801 4% 21% 55
2 K-THEORY 216496 5% 15% 64
3 JOURNAL OF PURE AND APPLIED ALGEBRA 46787 8% 2% 111
4 HOMOLOGY HOMOTOPY AND APPLICATIONS 37382 2% 7% 25
5 DOCUMENTA MATHEMATICA 34542 2% 7% 24
6 COMPOSITIO MATHEMATICA 24433 4% 2% 52
7 JOURNAL OF ALGEBRAIC GEOMETRY 12573 1% 3% 17
8 INVENTIONES MATHEMATICAE 12433 3% 1% 42
9 JOURNAL OF TOPOLOGY 9530 1% 4% 12
10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 9298 3% 1% 39

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 MOTIVIC COHOMOLOGY 462879 2% 67% 31 Search MOTIVIC+COHOMOLOGY Search MOTIVIC+COHOMOLOGY
2 ALGEBRAIC CYCLES 361789 3% 36% 45 Search ALGEBRAIC+CYCLES Search ALGEBRAIC+CYCLES
3 MOTIVIC HOMOTOPY THEORY 358948 1% 90% 18 Search MOTIVIC+HOMOTOPY+THEORY Search MOTIVIC+HOMOTOPY+THEORY
4 HERMITIAN K THEORY 191500 1% 79% 11 Search HERMITIAN+K+THEORY Search HERMITIAN+K+THEORY
5 MORPHIC COHOMOLOGY 177260 1% 100% 8 Search MORPHIC+COHOMOLOGY Search MORPHIC+COHOMOLOGY
6 SLICE FILTRATION 157563 1% 89% 8 Search SLICE+FILTRATION Search SLICE+FILTRATION
7 ALGEBRAIC K THEORY 150921 2% 25% 27 Search ALGEBRAIC+K+THEORY Search ALGEBRAIC+K+THEORY
8 CHOW VARIETIES 138053 1% 69% 9 Search CHOW+VARIETIES Search CHOW+VARIETIES
9 LAWSON HOMOLOGY 135713 1% 88% 7 Search LAWSON+HOMOLOGY Search LAWSON+HOMOLOGY
10 ALGEBRAIC COBORDISM 122706 1% 46% 12 Search ALGEBRAIC+COBORDISM Search ALGEBRAIC+COBORDISM

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 BARBIERI-VIALE, L , KAHN, B , (2016) ON THE DERIVED CATEGORY OF 1-MOTIVES.ASTERISQUE. VOL. . ISSUE 381. P. 1 -+ 37 79% 0
2 RONDIGS, O , OSTVAER, PA , (2016) SLICES OF HERMITIAN K-THEORY AND MILNOR'S CONJECTURE ON QUADRATIC FORMS.GEOMETRY & TOPOLOGY. VOL. 20. ISSUE 2. P. 1157 -1212 26 93% 1
3 HELLER, J , VOINEAGU, M , (2012) EQUIVARIANT SEMI-TOPOLOGICAL INVARIANTS, ATIYAH'S KR-THEORY, AND REAL ALGEBRAIC CYCLES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 364. ISSUE 12. P. 6565-6603 26 93% 1
4 HOYOIS, M , (2015) FROM ALGEBRAIC COBORDISM TO MOTIVIC COHOMOLOGY.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 702. ISSUE . P. 173 -226 19 95% 5
5 KRISHNA, A , PARK, J , (2015) SEMITOPOLOGIZATION IN MOTIVIC HOMOTOPY THEORY AND APPLICATIONS.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 15. ISSUE 2. P. 823 -861 18 100% 1
6 HELLER, J , VOINEAGU, M , (2012) VANISHING THEOREMS FOR REAL ALGEBRAIC CYCLES.AMERICAN JOURNAL OF MATHEMATICS. VOL. 134. ISSUE 3. P. 649-709 20 95% 1
7 CISINSKI, DC , DEGLISE, F , (2016) ETALE MOTIVES.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 3. P. 556 -666 16 84% 4
8 BERRICK, AJ , KAROUBI, M , OSTVAER, PA , (2011) PERIODICITY OF HERMITIAN K-GROUPS.JOURNAL OF K-THEORY. VOL. 7. ISSUE 3. P. 429 -493 24 80% 1
9 SZAMUELY, T , (2010) ARITHMETIC SCHEMA CLASS BODIES.ASTERISQUE. VOL. . ISSUE 332. P. 257 -286 22 88% 1
10 HELLER, J , (2015) MOTIVIC STRICT RING SPECTRA REPRESENTING SEMI-TOPOLOGICAL COHOMOLOGY THEORIES.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 17. ISSUE 2. P. 107 -135 19 90% 0

Classes with closest relation at Level 1


Rank Class id link
1 6559 MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES
2 11480 INTERSECTION HOMOLOGY//ALGEBRAIC CYCLES//CHOW GROUPS
3 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION
4 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
5 22485 UNIMODULAR ROWS//EULER CLASS GROUPS//CONSTRUCTIVE ALGEBRA
6 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
7 25858 RECIPROCITY LAWS//CONTOU CARRERE SYMBOL//HIGHER ADELES
8 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS
9 9929 ADAMS SPECTRAL SEQUENCE//MORAVA K THEORY//MAY SPECTRAL SEQUENCE
10 14464 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP

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