Class information for:
Level 1: O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
9563 1143 15.6 40%



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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
1540 2             MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES 7449
9563 1                   O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL 1143

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 O MINIMALITY authKW 1282658 5% 87% 55
2 O MINIMAL STRUCTURES authKW 1213558 6% 70% 65
3 O MINIMAL authKW 591803 2% 92% 24
4 DEFINABLE GROUPS authKW 386005 1% 85% 17
5 LOGIC WoSSC 265105 33% 3% 382
6 JOURNAL OF SYMBOLIC LOGIC journal 263410 15% 6% 169
7 EXPONENTIAL FIELDS authKW 216378 1% 90% 9
8 SCHANUELS CONJECTURE authKW 190805 1% 71% 10
9 DEPENDENT THEORIES authKW 186995 1% 100% 7
10 P MINIMALITY authKW 186995 1% 100% 7

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 Logic 265105 33% 3% 382
2 Mathematics 58417 96% 0% 1097
3 Mathematics, Applied 2644 20% 0% 228
4 Philosophy 133 2% 0% 22
5 Computer Science, Theory & Methods 79 3% 0% 34
6 Robotics 1 0% 0% 2
7 Computer Science, Cybernetics 1 0% 0% 2
8 Remote Sensing -0 0% 0% 2
9 Multidisciplinary Sciences -0 0% 0% 3
10 Automation & Control Systems -0 0% 0% 4

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 PAINLEVE 88502 1% 25% 13
2 ALGEBRA LOG COMPUTAT 53427 0% 100% 2
3 UMR 8524CITE SCI 53427 0% 100% 2
4 TOPOL 38014 1% 9% 15
5 EQUIPE LOG MATH 29103 1% 8% 13
6 ALGEBRA GEOMET TOPOLGIA 26714 0% 100% 1
7 ALGEBRE GEOMETRIE TOPOL 26714 0% 100% 1
8 CNRS UFR MATH 26714 0% 100% 1
9 FB MATHEMAT STAT 26714 0% 100% 1
10 FNRS MATH 26714 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 SYMBOLIC LOGIC 263410 15% 6% 169
2 ANNALS OF PURE AND APPLIED LOGIC 93574 7% 4% 85
3 MATHEMATICAL LOGIC QUARTERLY 68668 5% 5% 55
4 NOTRE DAME JOURNAL OF FORMAL LOGIC 45241 2% 8% 20
5 JOURNAL OF MATHEMATICAL LOGIC 40471 1% 13% 12
6 FUNDAMENTA MATHEMATICAE 21999 3% 2% 40
7 ARCHIVE FOR MATHEMATICAL LOGIC 20191 2% 3% 27
8 ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK 15564 1% 3% 17
9 ANNALES POLONICI MATHEMATICI 14991 2% 3% 18
10 SELECTA MATHEMATICA-NEW SERIES 9430 1% 3% 11

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 O MINIMALITY 1282658 5% 87% 55 Search O+MINIMALITY Search O+MINIMALITY
2 O MINIMAL STRUCTURES 1213558 6% 70% 65 Search O+MINIMAL+STRUCTURES Search O+MINIMAL+STRUCTURES
3 O MINIMAL 591803 2% 92% 24 Search O+MINIMAL Search O+MINIMAL
4 DEFINABLE GROUPS 386005 1% 85% 17 Search DEFINABLE+GROUPS Search DEFINABLE+GROUPS
5 EXPONENTIAL FIELDS 216378 1% 90% 9 Search EXPONENTIAL+FIELDS Search EXPONENTIAL+FIELDS
6 SCHANUELS CONJECTURE 190805 1% 71% 10 Search SCHANUELS+CONJECTURE Search SCHANUELS+CONJECTURE
7 DEPENDENT THEORIES 186995 1% 100% 7 Search DEPENDENT+THEORIES Search DEPENDENT+THEORIES
8 P MINIMALITY 186995 1% 100% 7 Search P+MINIMALITY Search P+MINIMALITY
9 WEAK O MINIMALITY 186995 1% 100% 7 Search WEAK+O+MINIMALITY Search WEAK+O+MINIMALITY
10 DP RANK 160281 1% 100% 6 Search DP+RANK Search DP+RANK

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 ELEFTHERIOU, PE , (2013) NON-STANDARD LATTICES AND O-MINIMAL GROUPS.BULLETIN OF SYMBOLIC LOGIC. VOL. 19. ISSUE 1. P. 56-76 32 100% 0
2 DOLICH, A , MILLER, C , STEINHORN, C , (2010) STRUCTURES HAVING O-MINIMAL OPEN CORE.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 3. P. 1371-1411 27 96% 13
3 DOLICH, A , MILLER, C , STEINHORN, C , (2016) EXPANSIONS OF O-MINIMAL STRUCTURES BY DENSE INDEPENDENT SETS.ANNALS OF PURE AND APPLIED LOGIC. VOL. 167. ISSUE 8. P. 684 -706 24 96% 0
4 CLUCKERS, R , LIPSHITZ, L , (2017) STRICTLY CONVERGENT ANALYTIC STRUCTURES.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 19. ISSUE 1. P. 107 -149 22 100% 0
5 CLUCKERS, R , LIPSHITZ, L , (2011) FIELDS WITH ANALYTIC STRUCTURE.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 13. ISSUE 4. P. 1147 -1223 25 86% 15
6 ASCHENBRENNER, M , GOLDBRING, I , (2014) TRANSSERIES AND TODOROV-VERNAEVE'S ASYMPTOTIC FIELDS.ARCHIVE FOR MATHEMATICAL LOGIC. VOL. 53. ISSUE 1-2. P. 65-87 21 100% 0
7 ASCHENBRENNER, M , DOLICH, A , HASKELL, D , MACPHERSON, D , STARCHENKO, S , (2016) VAPNIK-CHERVONENKIS DENSITY IN SOME THEORIES WITHOUT THE INDEPENDENCE PROPERTY, I.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 8. P. 5889 -5949 33 59% 0
8 ASCHENBRENNER, M , VAN DEN DRIES, L , VAN DER HOEVEN, J , (2013) TOWARD A MODEL THEORY FOR TRANSSERIES.NOTRE DAME JOURNAL OF FORMAL LOGIC. VOL. 54. ISSUE 3-4. P. 279 -310 21 95% 3
9 CONVERSANO, A , PILLAY, A , (2012) CONNECTED COMPONENTS OF DEFINABLE GROUPS AND O-MINIMALITY I.ADVANCES IN MATHEMATICS. VOL. 231. ISSUE 2. P. 605-623 20 100% 5
10 KAISER, T , (2012) FIRST ORDER TAMENESS OF MEASURES.ANNALS OF PURE AND APPLIED LOGIC. VOL. 163. ISSUE 12. P. 1903-1927 19 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 7864 JOURNAL OF SYMBOLIC LOGIC//ABSTRACT ELEMENTARY CLASSES//LOGIC
2 16040 WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES
3 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
4 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
5 35916 SUPERATOMIC BOOLEAN ALGEBRAS//THIN TALL//ALGEBRAICALLY CLOSED
6 20473 COMPUTABLE STRUCTURE//COMPUTABLE CATEGORICITY//COMPUTABLE MODEL
7 35812 LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD
8 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
9 33949 DENSITY TOPOLOGY//COMPARISON OF TOPOLOGIES//FIRST RETURN INTEGRALS
10 36376 RADIATION TRANSFER EQUATION//FRESNEL INTERFACE CONDITIONS//FRESNEL MATCHING CONDITIONS

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