Class information for:
Level 1: AXIOM OF CHOICE//WEAK AXIOMS OF CHOICE//BOOLEAN PRIME IDEAL THEOREM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28799 199 14.1 21%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
276 3       FUZZY SETS AND SYSTEMS//ALGEBRA UNIVERSALIS//ROUGH SETS 43335
1635 2             APPLIED CATEGORICAL STRUCTURES//FUZZY TOPOLOGY//FUZZY SETS AND SYSTEMS 6966
28799 1                   AXIOM OF CHOICE//WEAK AXIOMS OF CHOICE//BOOLEAN PRIME IDEAL THEOREM 199

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 AXIOM OF CHOICE authKW 5562555 36% 50% 72
2 WEAK AXIOMS OF CHOICE authKW 2148221 7% 100% 14
3 BOOLEAN PRIME IDEAL THEOREM authKW 1699690 6% 92% 12
4 AXIOM OF MULTIPLE CHOICE authKW 639350 3% 83% 5
5 TYCHONOFF PRODUCT authKW 626559 4% 58% 7
6 PERMUTATION MODEL authKW 502176 3% 55% 6
7 COUNTABLE AXIOM OF CHOICE authKW 491020 2% 80% 4
8 ISOLS authKW 460333 2% 100% 3
9 RADOS SELECTION LEMMA authKW 460333 2% 100% 3
10 REGRESSIVE ISOL authKW 460333 2% 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 119598 54% 1% 107
2 Mathematics 10390 97% 0% 193
3 Mathematics, Applied 468 20% 0% 40
4 Philosophy 116 4% 0% 8
5 Multidisciplinary Sciences 0 1% 0% 1
6 Physics, Multidisciplinary -2 1% 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 LOG PROGRAM 153444 1% 100% 1
2 STUDIES PRAGMATICISM 122753 1% 40% 2
3 ERMIT 119870 3% 16% 5
4 STAT ACTUARIAL FINANCIAL MATH 95329 4% 8% 8
5 IMMD 1 51147 1% 33% 1
6 TALBOT 14610 1% 5% 2
7 CMUC 2951 2% 1% 3
8 FB 3 2788 1% 2% 1
9 MATH 2009 38% 0% 75
10 KURT GODEL MATH LOG 1517 1% 1% 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 MATHEMATICAL LOGIC QUARTERLY 439198 29% 5% 58
2 JOURNAL OF SYMBOLIC LOGIC 25628 11% 1% 22
3 ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK 25091 5% 2% 9
4 FUNDAMENTA MATHEMATICAE 17803 8% 1% 15
5 ARCHIVE FOR MATHEMATICAL LOGIC 15931 5% 1% 10
6 ANNALS OF PURE AND APPLIED LOGIC 7432 5% 0% 10
7 TOPOLOGY AND ITS APPLICATIONS 6437 8% 0% 16
8 NOTRE DAME JOURNAL OF FORMAL LOGIC 5846 2% 1% 3
9 REPORTS ON MATHEMATICAL LOGIC 3408 1% 2% 1
10 QUAESTIONES MATHEMATICAE 3213 2% 1% 3

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 AXIOM OF CHOICE 5562555 36% 50% 72 Search AXIOM+OF+CHOICE Search AXIOM+OF+CHOICE
2 WEAK AXIOMS OF CHOICE 2148221 7% 100% 14 Search WEAK+AXIOMS+OF+CHOICE Search WEAK+AXIOMS+OF+CHOICE
3 BOOLEAN PRIME IDEAL THEOREM 1699690 6% 92% 12 Search BOOLEAN+PRIME+IDEAL+THEOREM Search BOOLEAN+PRIME+IDEAL+THEOREM
4 AXIOM OF MULTIPLE CHOICE 639350 3% 83% 5 Search AXIOM+OF+MULTIPLE+CHOICE Search AXIOM+OF+MULTIPLE+CHOICE
5 TYCHONOFF PRODUCT 626559 4% 58% 7 Search TYCHONOFF+PRODUCT Search TYCHONOFF+PRODUCT
6 PERMUTATION MODEL 502176 3% 55% 6 Search PERMUTATION+MODEL Search PERMUTATION+MODEL
7 COUNTABLE AXIOM OF CHOICE 491020 2% 80% 4 Search COUNTABLE+AXIOM+OF+CHOICE Search COUNTABLE+AXIOM+OF+CHOICE
8 ISOLS 460333 2% 100% 3 Search ISOLS Search ISOLS
9 RADOS SELECTION LEMMA 460333 2% 100% 3 Search RADOS+SELECTION+LEMMA Search RADOS+SELECTION+LEMMA
10 REGRESSIVE ISOL 460333 2% 100% 3 Search REGRESSIVE+ISOL Search REGRESSIVE+ISOL

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 HERRLICH, H , (2006) AXIOM OF CHOICE - PREFACE.AXIOM OF CHOICE. VOL. 1876. ISSUE . P. VII -+ 40 65% 0
2 HOWARD, P , TACHTSIS, E , (2013) ON A TOPOLOGICAL CHOICE PRINCIPLE BY MURRAY BELL.TOPOLOGY AND ITS APPLICATIONS. VOL. 160. ISSUE 2. P. 309-327 11 100% 0
3 MILLER, AW , (2011) A DEDEKIND FINITE BOREL SET.ARCHIVE FOR MATHEMATICAL LOGIC. VOL. 50. ISSUE 1-2. P. 1-17 9 90% 0
4 KEREMEDIS, K , (2003) THE FAILURE OF THE AXIOM OF CHOICE IMPLIES UNREST IN THE THEORY OF LINDELOF METRIC SPACES.MATHEMATICAL LOGIC QUARTERLY. VOL. 49. ISSUE 2. P. 179-186 10 100% 1
5 KEREMEDIS, K , TACHTSIS, E , (2005) COUNTABLE SUMS AND PRODUCTS OF METRIZABLE SPACES IN ZF.MATHEMATICAL LOGIC QUARTERLY. VOL. 51. ISSUE 1. P. 95-103 10 91% 2
6 KEREMEDIS, K , (2004) CONSEQUENCES OF THE FAILURE OF THE AXIOM OF CHOICE IN THE THEORY OF LINDELOF METRIC SPACES.MATHEMATICAL LOGIC QUARTERLY. VOL. 50. ISSUE 2. P. 141-151 9 100% 2
7 KEREMEDIS, K , (2013) THE BOOLEAN PRIME IDEAL THEOREM AND PRODUCTS OF COFINITE TOPOLOGIES.MATHEMATICAL LOGIC QUARTERLY. VOL. 59. ISSUE 6. P. 382-392 7 100% 0
8 KEREMEDIS, K , TACHTSIS, E , (2010) PRODUCTS OF SOME SPECIAL COMPACT SPACES AND RESTRICTED FORMS OF AC.JOURNAL OF SYMBOLIC LOGIC. VOL. 75. ISSUE 3. P. 996-1006 7 100% 0
9 HOWARD, P , TACHTSIS, E , (2014) ON THE MINIMAL COVER PROPERTY IN ZF.TOPOLOGY AND ITS APPLICATIONS. VOL. 173. ISSUE . P. 94 -106 6 100% 0
10 HOWARD, P , TACHTSIS, E , (2013) ON VECTOR SPACES OVER SPECIFIC FIELDS WITHOUT CHOICE.MATHEMATICAL LOGIC QUARTERLY. VOL. 59. ISSUE 3. P. 128-146 6 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 37657 LOCAL DENDRITES//MATEMAT SZAMITASTUDOMANYI INT//O DIMENSIONAL
2 31410 SERV LOG//GPK THEORY//ANTI FOUNDATION
3 12316 CONSTRUCTIVE MATHEMATICS//FORMAL TOPOLOGY//CONSTRUCTIVE
4 26828 KC SPACE//CONNECTIFICATION//MROWKAS CONDITION W
5 13423 REVERSE MATHEMATICS//LOGIC//FUNCTIONAL INTERPRETATION
6 21737 HAWAIIAN EARRING//STRONG SHAPE//TOPOLOGICAL FUNDAMENTAL GROUP
7 25185 HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM
8 23145 S POSET//S ACT//POMONOID
9 27398 GOLAB SCHINZEL EQUATION//GOLAB SCHINZEL FUNCTIONAL EQUATION//UNIFORM CONVERGENCE THEOREM
10 33949 DENSITY TOPOLOGY//COMPARISON OF TOPOLOGIES//FIRST RETURN INTEGRALS

Go to start page