Class information for:
Level 1: STONE CECH COMPACTIFICATION//ULTRAFILTER SEMIGROUP//SEMIGROUP COMPACTIFICATION

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
2912 2             FOURIER ALGEBRA//LOCALLY COMPACT GROUP//BANACH ALGEBRA 3006
20298 1                   STONE CECH COMPACTIFICATION//ULTRAFILTER SEMIGROUP//SEMIGROUP COMPACTIFICATION 488

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STONE CECH COMPACTIFICATION authKW 2143277 15% 45% 74
2 ULTRAFILTER SEMIGROUP authKW 581243 2% 100% 9
3 SEMIGROUP COMPACTIFICATION authKW 430544 2% 67% 10
4 LUC COMPACTIFICATION authKW 395567 1% 88% 7
5 SMALLEST IDEAL authKW 387495 1% 100% 6
6 STRONGLY SUMMABLE ULTRAFILTER authKW 332137 1% 86% 6
7 CENTRAL SETS THEOREM authKW 322913 1% 100% 5
8 COMPACT RIGHT TOPOLOGICAL GROUP authKW 322913 1% 100% 5
9 RIGHT TOPOLOGICAL SEMIGROUP authKW 322913 1% 100% 5
10 ULTRAFILTER authKW 285292 6% 16% 27

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 26085 98% 0% 480
2 Mathematics, Applied 1553 23% 0% 113
3 Logic 589 2% 0% 12
4 Philosophy 7 1% 0% 4
5 Computer Science, Theory & Methods 2 1% 0% 6
6 Statistics & Probability 2 1% 0% 5
7 Computer Science, Cybernetics 1 0% 0% 1
8 Multidisciplinary Sciences -0 0% 0% 1
9 Physics, Mathematical -1 0% 0% 2
10 Mechanics -4 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATEMAT BOLUMU OGRETIM UYESI 64583 0% 100% 1
2 SECT PURE MATH 64583 0% 100% 1
3 UJF CNRS 5582 64583 0% 100% 1
4 UNIV MATEMAT LICAC IMAC 64581 0% 50% 2
5 PURE MATH 36325 8% 1% 41
6 FJFI MATH 25830 0% 20% 2
7 CNRS UMR 7056 16144 0% 25% 1
8 CYBERNET 11030 4% 1% 18
9 PURE MATH MATH STAT 10610 2% 1% 11
10 EXCELLENCE ANAL ALGEBRA STRUCT CEAAS 9224 0% 14% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SEMIGROUP FORUM 268818 20% 4% 99
2 TOPOLOGY AND ITS APPLICATIONS 34607 12% 1% 58
3 JOURNAL OF COMBINATORIAL THEORY SERIES A 32482 8% 1% 41
4 NEW YORK JOURNAL OF MATHEMATICS 19762 2% 3% 11
5 MATEMATISK-FYSISKE MEDDELELSER KONGELIGE DANSKE VIDENSKABERNES SELSKAB 14171 1% 7% 3
6 UKRAINIAN MATHEMATICAL JOURNAL 3985 2% 1% 8
7 NOTRE DAME JOURNAL OF FORMAL LOGIC 3951 1% 2% 4
8 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 3895 3% 0% 14
9 COMBINATORICA 3798 2% 1% 9
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 3034 4% 0% 21

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 STONE CECH COMPACTIFICATION 2143277 15% 45% 74 Search STONE+CECH+COMPACTIFICATION Search STONE+CECH+COMPACTIFICATION
2 ULTRAFILTER SEMIGROUP 581243 2% 100% 9 Search ULTRAFILTER+SEMIGROUP Search ULTRAFILTER+SEMIGROUP
3 SEMIGROUP COMPACTIFICATION 430544 2% 67% 10 Search SEMIGROUP+COMPACTIFICATION Search SEMIGROUP+COMPACTIFICATION
4 LUC COMPACTIFICATION 395567 1% 88% 7 Search LUC+COMPACTIFICATION Search LUC+COMPACTIFICATION
5 SMALLEST IDEAL 387495 1% 100% 6 Search SMALLEST+IDEAL Search SMALLEST+IDEAL
6 STRONGLY SUMMABLE ULTRAFILTER 332137 1% 86% 6 Search STRONGLY+SUMMABLE+ULTRAFILTER Search STRONGLY+SUMMABLE+ULTRAFILTER
7 CENTRAL SETS THEOREM 322913 1% 100% 5 Search CENTRAL+SETS+THEOREM Search CENTRAL+SETS+THEOREM
8 COMPACT RIGHT TOPOLOGICAL GROUP 322913 1% 100% 5 Search COMPACT+RIGHT+TOPOLOGICAL+GROUP Search COMPACT+RIGHT+TOPOLOGICAL+GROUP
9 RIGHT TOPOLOGICAL SEMIGROUP 322913 1% 100% 5 Search RIGHT+TOPOLOGICAL+SEMIGROUP Search RIGHT+TOPOLOGICAL+SEMIGROUP
10 ULTRAFILTER 285292 6% 16% 27 Search ULTRAFILTER Search ULTRAFILTER

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 9920 SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS
2 8299 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT
3 38852 LOCAL DENDRITES//MATEMAT SZAMITASTUDOMANYI INT//O DIMENSIONAL
4 33270 SYST VNIISI//PURE PSEUDOREPRESENTATION//VNIISI
5 2514 SELECTION PRINCIPLES//TOPOLOGY AND ITS APPLICATIONS//STAR LINDELOF
6 12585 URYSOHN SPACE//POLISH GROUP//FRAISSE LIMIT
7 8237 TOPOLOGICAL GROUP//PARATOPOLOGICAL GROUP//TOPOLOGY AND ITS APPLICATIONS
8 32101 UNIQUENESS OF NORM//TRANSLATION INVARIANT FUNCTIONALS//LACUNARY SEQUENCE OF PARTIAL SUMS
9 18205 ANTI RAMSEY//ANTI RAMSEY NUMBER//RAINBOW MATCHING
10 14709 SZLENK INDEX//STRICTLY SINGULAR OPERATOR//EFFROS BOREL STRUCTURE

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