Class information for:
Level 1: BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20101 476 14.1 31%


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
20101 1                   BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC 476

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 BOREL EQUIVALENCE RELATIONS authKW 1374602 6% 71% 30
2 BOREL REDUCIBILITY authKW 972345 5% 63% 24
3 GRAEV METRIC authKW 384893 1% 100% 6
4 POLISH GROUP authKW 346379 4% 30% 18
5 SUPERRIGIDITY authKW 278897 2% 43% 10
6 BOREL CHROMATIC NUMBER authKW 256596 1% 100% 4
7 SURJECTIVELY UNIVERSAL authKW 256596 1% 100% 4
8 IUT OISE address 256588 2% 50% 8
9 ANALYTIC EQUIVALENCE RELATIONS authKW 192447 1% 100% 3
10 BOREL MAPPING authKW 192447 1% 100% 3

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 67023 26% 1% 124
2 Mathematics 24236 96% 0% 456
3 Mathematics, Applied 1983 26% 0% 125
4 Philosophy 7 1% 0% 4
5 Telecommunications 4 1% 0% 7
6 Computer Science, Theory & Methods 0 1% 0% 4
7 Statistics & Probability -0 0% 0% 2
8 Mathematical & Computational Biology -0 0% 0% 1
9 Computer Science, Software Engineering -1 0% 0% 1
10 Biochemical Research Methods -3 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 IUT OISE 256588 2% 50% 8
2 PROJET ANAL FONCT 84399 1% 26% 5
3 BOITE 186 64149 0% 100% 1
4 MAT SCI LPMC 64149 0% 100% 1
5 MATH JUSSIEU ANAL FONCT 64149 0% 100% 1
6 PROJET ANALYSE FONCTIONNELLE 64149 0% 100% 1
7 SECTOR 1 1 64149 0% 100% 1
8 SITE CREIL 64149 0% 100% 1
9 DIPARTIMENTO SCI MATEMAT JOSEPH LOUIS LAGRANGE 32073 0% 50% 1
10 MATH ANAL DIFFERENTIAL EQUAT 32073 0% 50% 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 86084 11% 3% 51
2 JOURNAL OF SYMBOLIC LOGIC 82389 13% 2% 61
3 BULLETIN OF SYMBOLIC LOGIC 25336 2% 4% 10
4 JOURNAL OF MATHEMATICAL LOGIC 24298 1% 6% 6
5 ANNALS OF PURE AND APPLIED LOGIC 13698 4% 1% 21
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 10733 11% 0% 53
7 MATHEMATICAL LOGIC QUARTERLY 7838 3% 1% 12
8 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 6716 7% 0% 31
9 TOPOLOGY AND ITS APPLICATIONS 6553 5% 0% 25
10 NOTRE DAME JOURNAL OF FORMAL LOGIC 4341 1% 2% 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 BOREL EQUIVALENCE RELATIONS 1374602 6% 71% 30 Search BOREL+EQUIVALENCE+RELATIONS Search BOREL+EQUIVALENCE+RELATIONS
2 BOREL REDUCIBILITY 972345 5% 63% 24 Search BOREL+REDUCIBILITY Search BOREL+REDUCIBILITY
3 GRAEV METRIC 384893 1% 100% 6 Search GRAEV+METRIC Search GRAEV+METRIC
4 POLISH GROUP 346379 4% 30% 18 Search POLISH+GROUP Search POLISH+GROUP
5 SUPERRIGIDITY 278897 2% 43% 10 Search SUPERRIGIDITY Search SUPERRIGIDITY
6 BOREL CHROMATIC NUMBER 256596 1% 100% 4 Search BOREL+CHROMATIC+NUMBER Search BOREL+CHROMATIC+NUMBER
7 SURJECTIVELY UNIVERSAL 256596 1% 100% 4 Search SURJECTIVELY+UNIVERSAL Search SURJECTIVELY+UNIVERSAL
8 ANALYTIC EQUIVALENCE RELATIONS 192447 1% 100% 3 Search ANALYTIC+EQUIVALENCE+RELATIONS Search ANALYTIC+EQUIVALENCE+RELATIONS
9 BOREL MAPPING 192447 1% 100% 3 Search BOREL+MAPPING Search BOREL+MAPPING
10 COUNTABLE BOREL EQUIVALENCE RELATIONS 192447 1% 100% 3 Search COUNTABLE+BOREL+EQUIVALENCE+RELATIONS Search COUNTABLE+BOREL+EQUIVALENCE+RELATIONS

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 MATHERON, E , ZELENY, M , (2007) DESCRIPTIVE SET THEORY OF FAMILIES OF SMALL SETS.BULLETIN OF SYMBOLIC LOGIC. VOL. 13. ISSUE 4. P. 482 -537 32 62% 7
2 THOMAS, S , (2008) ON THE COMPLEXITY OF THE QUASI-ISOMETRY AND VIRTUAL ISOMORPHISM PROBLEMS FOR FINITELY GENERATED GROUPS.GROUPS GEOMETRY AND DYNAMICS. VOL. 2. ISSUE 2. P. 281 -307 15 79% 2
3 MILLER, BD , (2012) THE GRAPH-THEORETIC APPROACH TO DESCRIPTIVE SET THEORY.BULLETIN OF SYMBOLIC LOGIC. VOL. 18. ISSUE 4. P. 554-575 10 91% 3
4 THOMAS, S , (2011) A DESCRIPTIVE VIEW OF COMBINATORIAL GROUP THEORY.BULLETIN OF SYMBOLIC LOGIC. VOL. 17. ISSUE 2. P. 252-264 10 91% 0
5 LECOMTE, D , ZELENY, M , (2016) BOREL CHROMATIC NUMBER OF CLOSED GRAPHS.FUNDAMENTA MATHEMATICAE. VOL. 234. ISSUE 2. P. 163 -169 8 100% 0
6 SOLECKI, S , (2011) G(DELTA) IDEALS OF COMPACT SETS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 13. ISSUE 4. P. 853 -882 10 83% 4
7 HJORTH, G , KECHRIS, AS , (2001) RECENT DEVELOPMENTS IN THE THEORY OF BOREL REDUCIBILITY.FUNDAMENTA MATHEMATICAE. VOL. 170. ISSUE 1-2. P. 21-52 10 100% 10
8 LECOMTE, D , (2009) HOW CAN WE RECOGNIZE POTENTIALLY PI(0)(XI) SUBSETS OF THE PLANE?.JOURNAL OF MATHEMATICAL LOGIC. VOL. 9. ISSUE 1. P. 39-62 8 100% 3
9 POL, R , ZAKRZEWSKI, P , (2016) ON BOOLEAN ALGEBRAS RELATED TO SIGMA-IDEALS GENERATED BY COMPACT SETS.ADVANCES IN MATHEMATICS. VOL. 297. ISSUE . P. 196 -213 9 75% 0
10 THOMAS, S , (2003) THE CLASSIFICATION PROBLEM FOR TORSION-FREE ABELIAN GROUPS OF FINITE RANK.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 16. ISSUE 1. P. 233-258 10 91% 21

Classes with closest relation at Level 1


Rank Class id link
1 3329 TOPOLOGY AND ITS APPLICATIONS//SELECTION PRINCIPLES//HUREWICZ PROPERTY
2 20473 COMPUTABLE STRUCTURE//COMPUTABLE CATEGORICITY//COMPUTABLE MODEL
3 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
4 12935 URYSOHN METRIC SPACE//HOMOGENEOUS STRUCTURE//URYSOHN SPACE
5 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
6 4995 LARGE CARDINALS//SUPERCOMPACT CARDINAL//LOGIC
7 21405 LINEABILITY//SPACEABILITY//ALGEBRABILITY
8 31410 SERV LOG//GPK THEORY//ANTI FOUNDATION
9 16295 K ANALYTIC SPACE//WEAK BARRELLEDNESS//LINDELOF SIGMA SPACE
10 22155 JUSTIFICATION LOGIC//LOGIC OF PROOFS//REALIZATION THEOREM

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