Class information for:
Level 2: LINEABILITY//SPACEABILITY//ALGEBRABILITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
3377 1662 15.2 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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
3377 2             LINEABILITY//SPACEABILITY//ALGEBRABILITY 1662
17204 1                   HENSTOCK KURZWEIL INTEGRAL//MCSHANE INTEGRAL//KURZWEIL HENSTOCK INTEGRAL 611
21405 1                   LINEABILITY//SPACEABILITY//ALGEBRABILITY 420
24581 1                   MINIMAL DISPLACEMENT//MORSE SARD THEOREM//C 1 SMOOTH FUNCTION 307
28474 1                   HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION 206
33949 1                   DENSITY TOPOLOGY//COMPARISON OF TOPOLOGIES//FIRST RETURN INTEGRALS 118

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 1033358 4% 94% 60
2 SPACEABILITY authKW 706765 3% 84% 46
3 ALGEBRABILITY authKW 533348 2% 97% 30
4 HENSTOCK KURZWEIL INTEGRAL authKW 470283 2% 80% 32
5 MCSHANE INTEGRAL authKW 386587 1% 96% 22
6 KURZWEIL HENSTOCK INTEGRAL authKW 334013 1% 91% 20
7 PETTIS INTEGRAL authKW 275819 2% 48% 31
8 VARIATIONAL MEASURE authKW 257193 1% 100% 14
9 HENSTOCK INTEGRAL authKW 247519 1% 84% 16
10 BIRKHOFF INTEGRAL authKW 238822 1% 100% 13

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 79698 93% 0% 1546
2 Mathematics, Applied 11697 34% 0% 560
3 Logic 290 1% 0% 16
4 Statistics & Probability 28 2% 0% 26
5 Physics, Mathematical 7 1% 0% 22
6 Multidisciplinary Sciences 6 1% 0% 10
7 Mathematics, Interdisciplinary Applications 0 1% 0% 9
8 Computer Science, Cybernetics -0 0% 0% 1
9 Social Sciences, Mathematical Methods -1 0% 0% 1
10 Anthropology -2 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 MATH METHODS INFORMAT TECHNOL 112520 0% 88% 7
2 ANAL MATEMAT 46042 5% 3% 81
3 LIEN SCI TECH 36742 0% 100% 2
4 CIENCIAS MATEMAT 35822 3% 4% 45
5 ANALISI MATEMAT 18371 0% 100% 1
6 ATFRED RENYI MATH 18371 0% 100% 1
7 BANGKOK EXCELLENCE MATH CHE 18371 0% 100% 1
8 EMNERGING MARKETS TRADING 18371 0% 100% 1
9 KMA MFF UK 18371 0% 100% 1
10 MAECH MATH 18371 0% 100% 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 CZECHOSLOVAK MATHEMATICAL JOURNAL 48477 5% 3% 77
2 ACTA MATHEMATICA HUNGARICA 26193 4% 2% 65
3 AMERICAN MATHEMATICAL MONTHLY 23596 4% 2% 59
4 FUNDAMENTA MATHEMATICAE 22688 3% 3% 49
5 MATHEMATICA SLOVACA 20193 2% 4% 29
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 18253 9% 1% 145
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 18134 8% 1% 129
8 JOURNAL OF CONVEX ANALYSIS 6951 1% 2% 18
9 MATHEMATICAL NOTES 6440 3% 1% 42
10 STUDIA MATHEMATICA 5987 2% 1% 31

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 1033358 4% 94% 60 Search LINEABILITY Search LINEABILITY
2 SPACEABILITY 706765 3% 84% 46 Search SPACEABILITY Search SPACEABILITY
3 ALGEBRABILITY 533348 2% 97% 30 Search ALGEBRABILITY Search ALGEBRABILITY
4 HENSTOCK KURZWEIL INTEGRAL 470283 2% 80% 32 Search HENSTOCK+KURZWEIL+INTEGRAL Search HENSTOCK+KURZWEIL+INTEGRAL
5 MCSHANE INTEGRAL 386587 1% 96% 22 Search MCSHANE+INTEGRAL Search MCSHANE+INTEGRAL
6 KURZWEIL HENSTOCK INTEGRAL 334013 1% 91% 20 Search KURZWEIL+HENSTOCK+INTEGRAL Search KURZWEIL+HENSTOCK+INTEGRAL
7 PETTIS INTEGRAL 275819 2% 48% 31 Search PETTIS+INTEGRAL Search PETTIS+INTEGRAL
8 VARIATIONAL MEASURE 257193 1% 100% 14 Search VARIATIONAL+MEASURE Search VARIATIONAL+MEASURE
9 HENSTOCK INTEGRAL 247519 1% 84% 16 Search HENSTOCK+INTEGRAL Search HENSTOCK+INTEGRAL
10 BIRKHOFF INTEGRAL 238822 1% 100% 13 Search BIRKHOFF+INTEGRAL Search BIRKHOFF+INTEGRAL

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 72 43% 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 CANDELORO, D , DI PIAZZA, L , MUSIAL, K , SAMBUCINI, AR , (2016) GAUGE INTEGRALS AND SELECTIONS OF WEAKLY COMPACT VALUED MULTIFUNCTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 293 -308 29 91% 0
4 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
5 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 24 100% 7
6 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
7 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
8 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 23 100% 0
9 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
10 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

Classes with closest relation at Level 2



Rank Class id link
1 1493 MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE
2 2872 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
3 1004 TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS
4 905 POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX
5 4124 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
6 4023 SUBNORMS//HYPERGROUPS//CONVENIENT SETTING
7 2875 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
8 2302 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
9 1287 DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
10 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS

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