Class information for:
Level 1: NONMEASURABLE SET//RECURSIVE SATURATION//BOUNDED SATURATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26022 265 13.0 26%


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
26022 1                   NONMEASURABLE SET//RECURSIVE SATURATION//BOUNDED SATURATION 265

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 NONMEASURABLE SET authKW 921812 5% 67% 12
2 RECURSIVE SATURATION authKW 513281 3% 64% 7
3 BOUNDED SATURATION authKW 345683 1% 100% 3
4 PAIRWISE DISJOINT SETS authKW 345683 1% 100% 3
5 RECURSIVELY SATURATED MODEL authKW 263374 2% 57% 4
6 ALMOST SIGMA ALGEBRA authKW 230455 1% 100% 2
7 CCC IDEAL authKW 230455 1% 100% 2
8 COFINAL EXTENSIONS authKW 230455 1% 100% 2
9 COUNTABLY EQUIDECOMPOSABLE SETS authKW 230455 1% 100% 2
10 EXTENSIONS OF MEASURES authKW 230455 1% 100% 2

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 37277 26% 0% 69
2 Mathematics 11931 90% 0% 239
3 Mathematics, Applied 453 17% 0% 46
4 Philosophy 108 3% 0% 9
5 Computer Science, Theory & Methods 34 4% 0% 10
6 Computer Science, Cybernetics 33 1% 0% 3
7 Economics 6 3% 0% 7
8 Cell & Tissue Engineering 3 0% 0% 1
9 Multidisciplinary Sciences 2 1% 0% 2
10 Psychology, Multidisciplinary 2 1% 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 SCI AUTOMAT CONTROL PROC 115228 0% 100% 1
2 TOXICOL CANC RISK 115228 0% 100% 1
3 FULBRIGHT FDN 57613 0% 50% 1
4 LEHRSTUHL GEOMETRIE VISUALISIERUNG 28805 0% 25% 1
5 FB MATH 3 9600 0% 8% 1
6 FAK EKON 8229 0% 7% 1
7 MATH PHD PROGRAM 7200 0% 6% 1
8 MIPG 7200 0% 6% 1
9 MSCS 5759 0% 5% 1
10 COURSE 4799 0% 4% 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 FUNDAMENTA MATHEMATICAE 46607 11% 1% 28
2 EKONOMICKO-MATEMATICKY OBZOR 29201 2% 4% 6
3 ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK 28145 4% 2% 11
4 JOURNAL OF SYMBOLIC LOGIC 26873 10% 1% 26
5 MATHEMATICAL LOGIC QUARTERLY 22035 6% 1% 15
6 NOTRE DAME JOURNAL OF FORMAL LOGIC 17565 2% 3% 6
7 ARCHIVE FOR MATHEMATICAL LOGIC 14472 4% 1% 11
8 ANNALS OF PURE AND APPLIED LOGIC 4515 3% 0% 9
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3311 8% 0% 22
10 MATHEMATICAL INTELLIGENCER 3055 2% 1% 4

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 NONMEASURABLE SET 921812 5% 67% 12 Search NONMEASURABLE+SET Search NONMEASURABLE+SET
2 RECURSIVE SATURATION 513281 3% 64% 7 Search RECURSIVE+SATURATION Search RECURSIVE+SATURATION
3 BOUNDED SATURATION 345683 1% 100% 3 Search BOUNDED+SATURATION Search BOUNDED+SATURATION
4 PAIRWISE DISJOINT SETS 345683 1% 100% 3 Search PAIRWISE+DISJOINT+SETS Search PAIRWISE+DISJOINT+SETS
5 RECURSIVELY SATURATED MODEL 263374 2% 57% 4 Search RECURSIVELY+SATURATED+MODEL Search RECURSIVELY+SATURATED+MODEL
6 ALMOST SIGMA ALGEBRA 230455 1% 100% 2 Search ALMOST+SIGMA+ALGEBRA Search ALMOST+SIGMA+ALGEBRA
7 CCC IDEAL 230455 1% 100% 2 Search CCC+IDEAL Search CCC+IDEAL
8 COFINAL EXTENSIONS 230455 1% 100% 2 Search COFINAL+EXTENSIONS Search COFINAL+EXTENSIONS
9 COUNTABLY EQUIDECOMPOSABLE SETS 230455 1% 100% 2 Search COUNTABLY+EQUIDECOMPOSABLE+SETS Search COUNTABLY+EQUIDECOMPOSABLE+SETS
10 EXTENSIONS OF MEASURES 230455 1% 100% 2 Search EXTENSIONS+OF+MEASURES Search EXTENSIONS+OF+MEASURES

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 NURKHAIDAROV, E , (2015) DECODING IN THE AUTOMORPHISM GROUP OF A RECURSIVELY SATURATED MODEL OF ARITHMETIC.MATHEMATICAL LOGIC QUARTERLY. VOL. 61. ISSUE 3. P. 179 -188 10 100% 0
2 SCHMERL, JH , KOSSAK, R , (2012) ON COFINAL SUBMODELS AND ELEMENTARY INTERSTICES.NOTRE DAME JOURNAL OF FORMAL LOGIC. VOL. 53. ISSUE 3. P. 267 -287 9 100% 0
3 NURKHAIDAROV, ES , SHOCHAT, E , (2016) CLOSED NORMAL SUBGROUPS OF THE AUTOMORPHISM GROUP OF A SATURATED MODEL OF PEANO ARITHMETIC.NOTRE DAME JOURNAL OF FORMAL LOGIC. VOL. 57. ISSUE 1. P. 127 -139 9 90% 0
4 SCHMERL, JH , (2015) AUTOMORPHISM GROUPS OF COUNTABLE ARITHMETICALLY SATURATED MODELS OF PEANO ARITHMETIC.JOURNAL OF SYMBOLIC LOGIC. VOL. 80. ISSUE 4. P. 1411 -1434 9 90% 0
5 KOSSAK, R , KOTLARSKI, H , (2008) MORE ON EXTENDING AUTOMORPHISMS OF MODELS OF PEANO ARITHMETIC.FUNDAMENTA MATHEMATICAE. VOL. 200. ISSUE 2. P. 133-143 8 100% 0
6 SCHMERL, JH , (2012) A GENERALIZATION OF SIERPINSKI'S PARADOXICAL DECOMPOSITIONS: COLORING SEMIALGEBRAIC GRIDS.JOURNAL OF SYMBOLIC LOGIC. VOL. 77. ISSUE 4. P. 1165-1183 8 89% 1
7 NURKHAIDAROV, ES , (2010) INTERSTITIAL AND PSEUDO GAPS IN MODELS OF PEANO ARITHMETIC.MATHEMATICAL LOGIC QUARTERLY. VOL. 56. ISSUE 2. P. 198-204 7 100% 1
8 WONG, TL , (2015) CONSTANT REGIONS IN MODELS OF ARITHMETIC.NOTRE DAME JOURNAL OF FORMAL LOGIC. VOL. 56. ISSUE 4. P. 603 -624 6 100% 0
9 MAEHARA, H , (2017) STEINHAUS' LATTICE POINT PROBLEM FOR POLYHEDRA.COLLOQUIUM MATHEMATICUM. VOL. 146. ISSUE 1. P. 123 -128 6 86% 0
10 KOTLARSKI, H , PIEKART, B , (2000) AUTOMORPHISMS OF MODELS OF TRUE ARITHMETIC: MORE ON SUBGROUPS WHICH EXTEND TO A MAXIMAL ONE UNIQUELY.MATHEMATICAL LOGIC QUARTERLY. VOL. 46. ISSUE 1. P. 111-120 8 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 36859 TWO POINT SET//MIDSET//N POINT SET
2 21240 LOEB MEASURE//ULTRACOPRODUCT//NONSTANDARD SET THEORY
3 34673 PRODUCT LIFTING//STOCHAST ANWENDUNGEN//JORDAN MEASURABLE SET
4 3329 TOPOLOGY AND ITS APPLICATIONS//SELECTION PRINCIPLES//HUREWICZ PROPERTY
5 13423 REVERSE MATHEMATICS//LOGIC//FUNCTIONAL INTERPRETATION
6 14168 DEFLATIONISM//LIAR PARADOX//YABLOS PARADOX
7 4995 LARGE CARDINALS//SUPERCOMPACT CARDINAL//LOGIC
8 12935 URYSOHN METRIC SPACE//HOMOGENEOUS STRUCTURE//URYSOHN SPACE
9 21405 LINEABILITY//SPACEABILITY//ALGEBRABILITY
10 20101 BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC

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