Class information for:
Level 1: LARGE CARDINALS//SUPERCOMPACT CARDINAL//LOGIC

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4995 1691 14.3 32%


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
650 3       TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS 11574
1004 2             TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS 10385
4995 1                   LARGE CARDINALS//SUPERCOMPACT CARDINAL//LOGIC 1691

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 LARGE CARDINALS authKW 1769445 7% 88% 112
2 SUPERCOMPACT CARDINAL authKW 1298382 5% 90% 80
3 LOGIC WoSSC 1183210 58% 7% 981
4 JOURNAL OF SYMBOLIC LOGIC journal 1023020 24% 14% 405
5 STRONGLY COMPACT CARDINAL authKW 850037 3% 96% 49
6 INDESTRUCTIBILITY authKW 704178 2% 100% 39
7 FORCING authKW 581626 6% 30% 108
8 ARCHIVE FOR MATHEMATICAL LOGIC journal 529461 10% 17% 168
9 INNER MODELS authKW 525805 2% 94% 31
10 STRONG CARDINAL authKW 505564 2% 100% 28

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 1183210 58% 7% 981
2 Mathematics 92051 99% 0% 1674
3 Mathematics, Applied 5054 22% 0% 380
4 Philosophy 262 2% 0% 37
5 History & Philosophy of Science 8 0% 0% 6
6 Social Sciences, Mathematical Methods -1 0% 0% 1
7 Multidisciplinary Sciences -3 0% 0% 1
8 Statistics & Probability -5 0% 0% 3
9 Mathematics, Interdisciplinary Applications -5 0% 0% 2
10 Computer Science, Theory & Methods -7 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 LOG GRUNDLAGENFOR 214180 2% 38% 31
2 KURT GODEL MATH LOG 183018 2% 32% 32
3 KURT GODEL 87168 1% 37% 13
4 E EIN MATH 72753 3% 9% 45
5 LEHRSTUHL MATH LOG 54168 0% 100% 3
6 FORMALE LOG 49994 0% 46% 6
7 GRP LOG METHODOL SCI 46556 0% 37% 7
8 HILL BU 36112 0% 100% 2
9 MATH PROGRAM 25643 1% 16% 9
10 LOG LANGUAGE COMPUTAT 19734 1% 6% 17

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 1023020 24% 14% 405
2 ARCHIVE FOR MATHEMATICAL LOGIC 529461 10% 17% 168
3 ANNALS OF PURE AND APPLIED LOGIC 479753 14% 11% 234
4 MATHEMATICAL LOGIC QUARTERLY 172467 6% 9% 106
5 FUNDAMENTA MATHEMATICAE 167215 8% 7% 134
6 ANNALS OF MATHEMATICAL LOGIC 110576 1% 44% 14
7 JOURNAL OF MATHEMATICAL LOGIC 61551 1% 19% 18
8 ISRAEL JOURNAL OF MATHEMATICS 60326 7% 3% 112
9 NOTRE DAME JOURNAL OF FORMAL LOGIC 40431 1% 10% 23
10 BULLETIN OF SYMBOLIC LOGIC 25728 1% 8% 19

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 LARGE CARDINALS 1769445 7% 88% 112 Search LARGE+CARDINALS Search LARGE+CARDINALS
2 SUPERCOMPACT CARDINAL 1298382 5% 90% 80 Search SUPERCOMPACT+CARDINAL Search SUPERCOMPACT+CARDINAL
3 STRONGLY COMPACT CARDINAL 850037 3% 96% 49 Search STRONGLY+COMPACT+CARDINAL Search STRONGLY+COMPACT+CARDINAL
4 INDESTRUCTIBILITY 704178 2% 100% 39 Search INDESTRUCTIBILITY Search INDESTRUCTIBILITY
5 FORCING 581626 6% 30% 108 Search FORCING Search FORCING
6 INNER MODELS 525805 2% 94% 31 Search INNER+MODELS Search INNER+MODELS
7 STRONG CARDINAL 505564 2% 100% 28 Search STRONG+CARDINAL Search STRONG+CARDINAL
8 P KAPPA LAMBDA 487508 2% 100% 27 Search P+KAPPA+LAMBDA Search P+KAPPA+LAMBDA
9 LEVEL BY LEVEL EQUIVALENCE BETWEEN STRONG COMPACTNESS AND SUPERCOMPACTNESS 361117 1% 100% 20 Search LEVEL+BY+LEVEL+EQUIVALENCE+BETWEEN+STRONG+COMPACTNESS+AND+SUPERCOMPACTNESS Search LEVEL+BY+LEVEL+EQUIVALENCE+BETWEEN+STRONG+COMPACTNESS+AND+SUPERCOMPACTNESS
10 INNER MODEL THEORY 343061 1% 100% 19 Search INNER+MODEL+THEORY Search INNER+MODEL+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 MATET, P , (2015) GUESSING MORE SETS.ANNALS OF PURE AND APPLIED LOGIC. VOL. 166. ISSUE 10. P. 953 -990 23 100% 1
2 MATET, P , (2015) IDEALS ON ASSOCIATED WITH GAMES OF UNCOUNTABLE LENGTH.ARCHIVE FOR MATHEMATICAL LOGIC. VOL. 54. ISSUE 3-4. P. 291 -328 21 100% 0
3 APTER, AW , (2016) INDESTRUCTIBILITY AND DESTRUCTIBLE MEASURABLE CARDINALS.ARCHIVE FOR MATHEMATICAL LOGIC. VOL. 55. ISSUE 1-2. P. 3 -18 20 100% 0
4 BAGARIA, J , HAMKINS, JD , TSAPROUNIS, K , USUBA, T , (2016) SUPERSTRONG AND OTHER LARGE CARDINALS ARE NEVER LAVER INDESTRUCTIBLE.ARCHIVE FOR MATHEMATICAL LOGIC. VOL. 55. ISSUE 1-2. P. 19 -35 18 100% 0
5 CLAVERIE, B , SCHINDLER, R , (2012) WOODIN'S AXIOM ((*)), BOUNDED FORCING AXIOMS, AND PRECIPITOUS IDEALS ON OMEGA(1).JOURNAL OF SYMBOLIC LOGIC. VOL. 77. ISSUE 2. P. 475-498 18 100% 3
6 LIPPARINI, P , (2010) MORE ON REGULAR AND DECOMPOSABLE ULTRAFILTERS IN ZFC.MATHEMATICAL LOGIC QUARTERLY. VOL. 56. ISSUE 4. P. 340 -374 21 91% 0
7 UNGER, S , (2015) FRAGILITY AND INDESTRUCTIBILITY II.ANNALS OF PURE AND APPLIED LOGIC. VOL. 166. ISSUE 11. P. 1110 -1122 15 100% 0
8 MATET, P , USUBA, T , (2015) TWO-CARDINAL VERSIONS OF WEAK COMPACTNESS: PARTITIONS OF TRIPLES.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 67. ISSUE 1. P. 207 -230 15 100% 0
9 APTER, AW , GITMAN, V , HAMKINS, JD , (2012) INNER MODELS WITH LARGE CARDINAL FEATURES USUALLY OBTAINED BY FORCING.ARCHIVE FOR MATHEMATICAL LOGIC. VOL. 51. ISSUE 3-4. P. 257-283 16 100% 0
10 APTER, AW , HAMKINS, JD , (2003) EXACTLY CONTROLLING THE NON-SUPERCOMPACT STRONGLY COMPACT CARDINALS.JOURNAL OF SYMBOLIC LOGIC. VOL. 68. ISSUE 2. P. 669-688 20 100% 5

Classes with closest relation at Level 1


Rank Class id link
1 3329 TOPOLOGY AND ITS APPLICATIONS//SELECTION PRINCIPLES//HUREWICZ PROPERTY
2 37721 FOOD ENGINEERING EDUCATION//FOODSTUFF CHILLING//FREQUENCY CRITERIA
3 31410 SERV LOG//GPK THEORY//ANTI FOUNDATION
4 20101 BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC
5 26022 NONMEASURABLE SET//RECURSIVE SATURATION//BOUNDED SATURATION
6 35916 SUPERATOMIC BOOLEAN ALGEBRAS//THIN TALL//ALGEBRAICALLY CLOSED
7 28799 AXIOM OF CHOICE//WEAK AXIOMS OF CHOICE//BOOLEAN PRIME IDEAL THEOREM
8 10038 BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS
9 7864 JOURNAL OF SYMBOLIC LOGIC//ABSTRACT ELEMENTARY CLASSES//LOGIC
10 21240 LOEB MEASURE//ULTRACOPRODUCT//NONSTANDARD SET THEORY

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