Class information for:
Level 1: LINEABILITY//SPACEABILITY//ALGEBRABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21405 420 14.5 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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
3377 2             LINEABILITY//SPACEABILITY//ALGEBRABILITY 1662
21405 1                   LINEABILITY//SPACEABILITY//ALGEBRABILITY 420

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 LINEABILITY authKW 3954317 14% 92% 59
2 SPACEABILITY authKW 2676752 11% 82% 45
3 ALGEBRABILITY authKW 2110711 7% 97% 30
4 STRONG ALGEBRABILITY authKW 581619 2% 100% 8
5 SEPARATING SETS authKW 516993 2% 89% 8
6 SIERPINSKI ZYGMUND FUNCTION authKW 508916 2% 100% 7
7 ABSOLUTELY NONMEASURABLE FUNCTION authKW 436214 1% 100% 6
8 UNIVERSAL MEASURE ZERO SET authKW 436214 1% 100% 6
9 DARBOUX FUNCTION authKW 392585 2% 60% 9
10 HAMEL FUNCTIONS authKW 290809 1% 100% 4

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 Mathematics 21782 97% 0% 406
2 Mathematics, Applied 3200 35% 0% 147
3 Logic 1086 4% 0% 15
4 Multidisciplinary Sciences 7 1% 0% 4
5 Anthropology 0 0% 0% 1
6 Psychology, Social -0 0% 0% 1
7 Business -0 0% 0% 1
8 Physics, Mathematical -0 0% 0% 2
9 Physics, Fluids & Plasmas -1 0% 0% 1
10 Computer Science, Artificial Intelligence -1 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 ANAL MATEMAT 90425 14% 2% 57
2 CIENCIAS MATEMAT 81058 8% 3% 34
3 MATH 63 72702 0% 100% 1
4 PARIS RIVE GAUCHE UMR7586 72702 0% 100% 1
5 MATH B37 38485 1% 18% 3
6 ATT SHANNON S 36350 0% 50% 1
7 F CC MATEMAT 36350 0% 50% 1
8 LVIVSKA POLITECH 36350 0% 50% 1
9 ABT MATH LOG 36344 1% 13% 4
10 MIPG 18172 0% 13% 2

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 19820 5% 1% 23
2 BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 14145 4% 1% 15
3 ACTA MATHEMATICA HUNGARICA 7952 4% 1% 18
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5785 10% 0% 41
5 GEORGIAN MATHEMATICAL JOURNAL 5569 1% 1% 6
6 AMERICAN MATHEMATICAL MONTHLY 5256 3% 1% 14
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 4988 8% 0% 34
8 TOPOLOGY AND ITS APPLICATIONS 3844 4% 0% 18
9 EXPOSITIONES MATHEMATICAE 3781 1% 1% 4
10 STUDIA MATHEMATICA 3563 3% 0% 12

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 LINEABILITY 3954317 14% 92% 59 Search LINEABILITY Search LINEABILITY
2 SPACEABILITY 2676752 11% 82% 45 Search SPACEABILITY Search SPACEABILITY
3 ALGEBRABILITY 2110711 7% 97% 30 Search ALGEBRABILITY Search ALGEBRABILITY
4 STRONG ALGEBRABILITY 581619 2% 100% 8 Search STRONG+ALGEBRABILITY Search STRONG+ALGEBRABILITY
5 SEPARATING SETS 516993 2% 89% 8 Search SEPARATING+SETS Search SEPARATING+SETS
6 SIERPINSKI ZYGMUND FUNCTION 508916 2% 100% 7 Search SIERPINSKI+ZYGMUND+FUNCTION Search SIERPINSKI+ZYGMUND+FUNCTION
7 ABSOLUTELY NONMEASURABLE FUNCTION 436214 1% 100% 6 Search ABSOLUTELY+NONMEASURABLE+FUNCTION Search ABSOLUTELY+NONMEASURABLE+FUNCTION
8 UNIVERSAL MEASURE ZERO SET 436214 1% 100% 6 Search UNIVERSAL+MEASURE+ZERO+SET Search UNIVERSAL+MEASURE+ZERO+SET
9 DARBOUX FUNCTION 392585 2% 60% 9 Search DARBOUX+FUNCTION Search DARBOUX+FUNCTION
10 HAMEL FUNCTIONS 290809 1% 100% 4 Search HAMEL+FUNCTIONS Search HAMEL+FUNCTIONS

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 BERNAL-GONZALEZ, L , PELLEGRINO, D , SEOANE-SEPULVEDA, JB , (2014) LINEAR SUBSETS OF NONLINEAR SETS IN TOPOLOGICAL VECTOR SPACES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 51. ISSUE 1. P. 71 -130 70 42% 42
2 BERNAL-GONZALEZ, L , CABRERA, MO , (2014) LINEABILITY CRITERIA, WITH APPLICATIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 6. P. 3997 -4025 40 62% 15
3 BARTOSZEWICZ, A , BIENIAS, M , GLAB, S , NATKANIEC, T , (2016) ALGEBRAIC STRUCTURES IN THE SETS OF SURJECTIVE FUNCTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 2. P. 574 -585 24 100% 1
4 BARTOSZEWICZ, A , GLAB, S , PELLEGRINO, D , SEOANE-SEPULVEDA, JB , (2013) ALGEBRABILITY, NON-LINEAR PROPERTIES, AND SPECIAL FUNCTIONS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 141. ISSUE 10. P. 3391-3402 25 100% 4
5 BARTOSZEWICZ, A , GLAB, S , (2013) ADDITIVITY AND LINEABILITY IN VECTOR SPACES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 7. P. 2123-2130 24 100% 7
6 BARTOSZEWICZ, A , BIENIAS, M , FILIPCZAK, M , GLAB, S , (2014) STRONG C-ALGEBRABILITY OF STRONG SIERPINSKI-ZYGMUND, SMOOTH NOWHERE ANALYTIC AND OTHER SETS OF FUNCTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 412. ISSUE 2. P. 620-630 23 96% 7
7 CIESIELSKI, KC , GAMEZ-MERINO, JL , MAZZA, L , SEOANE-SEPULVEDA, JB , (2017) CARDINAL COEFFICIENTS RELATED TO SURJECTIVITY, DARBOUX, AND SIERPINSKI-ZYGMUND MAPS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 145. ISSUE 3. P. 1041 -1052 22 100% 0
8 BOTELHO, G , CARIELLO, D , FAVARO, VV , PELLEGRINO, D , SEOANE-SEPULVEDA, JB , (2013) DISTINGUISHED SUBSPACES OF L-P OF MAXIMAL DIMENSION.STUDIA MATHEMATICA. VOL. 215. ISSUE 3. P. 261-280 26 90% 4
9 BERNAL-GONZALEZ, L , CALDERON-MORENO, MD , SEOANE-SEPULVEDA, JB , (2017) INFINITE DIMENSIONAL HOLOMORPHIC NON-EXTENDABILITY AND ALGEBRAIC GENERICITY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 513. ISSUE . P. 149 -159 23 88% 0
10 BASTIN, F , CONEJERO, JA , ESSER, C , SEOANE-SEPULVEDA, JB , (2015) ALGEBRABILITY AND NOWHERE GEVREY DIFFERENTIABILITY.ISRAEL JOURNAL OF MATHEMATICS. VOL. 205. ISSUE 1. P. 127 -143 22 96% 0

Classes with closest relation at Level 1


Rank Class id link
1 33949 DENSITY TOPOLOGY//COMPARISON OF TOPOLOGIES//FIRST RETURN INTEGRALS
2 13228 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
3 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
4 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
5 20101 BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC
6 3329 TOPOLOGY AND ITS APPLICATIONS//SELECTION PRINCIPLES//HUREWICZ PROPERTY
7 24581 MINIMAL DISPLACEMENT//MORSE SARD THEOREM//C 1 SMOOTH FUNCTION
8 26022 NONMEASURABLE SET//RECURSIVE SATURATION//BOUNDED SATURATION
9 10686 ABSOLUTELY SUMMING OPERATORS//BOHNENBLUST HILLE INEQUALITY//MULTILINEAR MAPPINGS
10 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON

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