Class information for:
Level 1: HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28474 206 14.1 30%


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
28474 1                   HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION 206

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 HAAR NULL authKW 889381 3% 100% 6
2 MONOTONE METRIC SPACE authKW 592921 2% 100% 4
3 TYPICAL CONTINUOUS FUNCTION authKW 592921 2% 100% 4
4 HAAR NULL SET authKW 338808 2% 57% 4
5 HAAR MEAGER SET authKW 333516 1% 75% 3
6 AE DIFFERENTIABILITY authKW 296460 1% 100% 2
7 ARONSZAJN NULL authKW 296460 1% 100% 2
8 ARONSZAJN NULL SET authKW 296460 1% 100% 2
9 ARONSZAJN NULL SETS authKW 296460 1% 100% 2
10 ENVELOPING MANIFOLD authKW 296460 1% 100% 2

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 10344 95% 0% 196
2 Mathematics, Applied 1144 30% 0% 62
3 Logic 8 0% 0% 1
4 Multidisciplinary Sciences 4 1% 0% 2
5 Statistics & Probability 1 1% 0% 2
6 Physics, Mathematical 0 1% 0% 2
7 Operations Research & Management Science -0 0% 0% 1
8 Mathematics, Interdisciplinary Applications -0 0% 0% 1
9 Computer Science, Theory & Methods -0 0% 0% 1
10 Mechanics -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 ATFRED RENYI MATH 148230 0% 100% 1
2 KMA MFF UK 148230 0% 100% 1
3 TR EZNIKOV CONTROL SCI AUTOMAT TELEMECH 24703 0% 17% 1
4 EQUIPE ANAL HARMON 18527 0% 13% 1
5 MATH ANAL 15621 6% 1% 13
6 ALFRED RENYI MATH 12933 3% 1% 7
7 CONTROL SCI AUTOMAT TELEMECH 8233 0% 6% 1
8 COMP ASSISTED MATH ITS PLICAT CARMA 6174 0% 4% 1
9 KMA 5927 0% 4% 1
10 DIFFERENTIAL GEOMETRY 5488 0% 4% 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 JOURNAL OF CONVEX ANALYSIS 11119 4% 1% 8
2 FUNDAMENTA MATHEMATICAE 11002 6% 1% 12
3 ISRAEL JOURNAL OF MATHEMATICS 7738 7% 0% 14
4 ACTA MATHEMATICA HUNGARICA 6060 5% 0% 11
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5523 12% 0% 25
6 CZECHOSLOVAK MATHEMATICAL JOURNAL 4219 4% 0% 8
7 DOKLADY MATHEMATICS 3915 4% 0% 9
8 TOPOLOGY AND ITS APPLICATIONS 2421 5% 0% 10
9 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 1864 3% 0% 6
10 GEOMETRIC AND FUNCTIONAL ANALYSIS 1268 1% 0% 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 HAAR NULL 889381 3% 100% 6 Search HAAR+NULL Search HAAR+NULL
2 MONOTONE METRIC SPACE 592921 2% 100% 4 Search MONOTONE+METRIC+SPACE Search MONOTONE+METRIC+SPACE
3 TYPICAL CONTINUOUS FUNCTION 592921 2% 100% 4 Search TYPICAL+CONTINUOUS+FUNCTION Search TYPICAL+CONTINUOUS+FUNCTION
4 HAAR NULL SET 338808 2% 57% 4 Search HAAR+NULL+SET Search HAAR+NULL+SET
5 HAAR MEAGER SET 333516 1% 75% 3 Search HAAR+MEAGER+SET Search HAAR+MEAGER+SET
6 AE DIFFERENTIABILITY 296460 1% 100% 2 Search AE+DIFFERENTIABILITY Search AE+DIFFERENTIABILITY
7 ARONSZAJN NULL 296460 1% 100% 2 Search ARONSZAJN+NULL Search ARONSZAJN+NULL
8 ARONSZAJN NULL SET 296460 1% 100% 2 Search ARONSZAJN+NULL+SET Search ARONSZAJN+NULL+SET
9 ARONSZAJN NULL SETS 296460 1% 100% 2 Search ARONSZAJN+NULL+SETS Search ARONSZAJN+NULL+SETS
10 ENVELOPING MANIFOLD 296460 1% 100% 2 Search ENVELOPING+MANIFOLD Search ENVELOPING+MANIFOLD

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 ELEKES, M , VIDNYANSZKY, Z , (2015) HAAR NULL SETS WITHOUT G(DELTA) HULLS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 209. ISSUE 1. P. 199 -214 10 83% 2
2 ZAJICEK, L , (2015) PROPERTIES OF HADAMARD DIRECTIONAL DERIVATIVES: DENJOY-YOUNG-SAKS THEOREM FOR FUNCTIONS ON BANACH SPACES.JOURNAL OF CONVEX ANALYSIS. VOL. 22. ISSUE 1. P. 161 -176 9 82% 0
3 RABIER, PJ , (2015) DIFFERENTIABILITY OF QUASICONVEX FUNCTIONS ON SEPARABLE BANACH SPACES.ISRAEL JOURNAL OF MATHEMATICS. VOL. 207. ISSUE 1. P. 11 -51 10 71% 1
4 DARJI, UB , (2013) ON HAAR MEAGER SETS.TOPOLOGY AND ITS APPLICATIONS. VOL. 160. ISSUE 18. P. 2396-2400 8 89% 6
5 BALKA, R , DARJI, UB , ELEKES, M , (2016) HAUSDORFF AND PACKING DIMENSION OF FIBERS AND GRAPHS OF PREVALENT CONTINUOUS MAPS.ADVANCES IN MATHEMATICS. VOL. 293. ISSUE . P. 221 -274 12 57% 0
6 MALEVA, O , PREISS, D , (2016) DIRECTIONAL UPPER DERIVATIVES AND THE CHAIN RULE FORMULA FOR LOCALLY LIPSCHITZ FUNCTIONS ON BANACH SPACES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 7. P. 4685 -4730 10 67% 0
7 ZAJICEK, L , (2005) ON SIGMA-POROUS SETS IN ABSTRACT SPACES.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE 5. P. 509 -534 23 35% 30
8 TISER, J , ZAJICEK, L , (2015) A CRITERION OF GAMMA-NULLNESS AND DIFFERENTIABILITY OF CONVEX AND QUASICONVEX FUNCTIONS.STUDIA MATHEMATICA. VOL. 227. ISSUE 2. P. 149 -164 7 88% 0
9 NEKVINDA, A , (2016) A CANTOR SET IN THE PLANE AND ITS MONOTONE SUBSETS.ACTA MATHEMATICA HUNGARICA. VOL. 148. ISSUE 1. P. 43 -55 7 78% 0
10 DOLEZAL, M , RMOUTIL, M , VEJNAR, B , VLASAK, V , (2016) HAAR MEAGER SETS REVISITED.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 440. ISSUE 2. P. 922 -939 6 86% 0

Classes with closest relation at Level 1


Rank Class id link
1 27398 GOLAB SCHINZEL EQUATION//GOLAB SCHINZEL FUNCTIONAL EQUATION//UNIFORM CONVERGENCE THEOREM
2 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
3 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON
4 33949 DENSITY TOPOLOGY//COMPARISON OF TOPOLOGIES//FIRST RETURN INTEGRALS
5 20798 TURNPIKE PROPERTY//GOOD FUNCTION//INFINITE HORIZON PROBLEMS
6 21405 LINEABILITY//SPACEABILITY//ALGEBRABILITY
7 13976 SPARSEST CUT//LIPSCHITZ FREE SPACE//METRIC EMBEDDING
8 20101 BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC
9 28238 CONICAL APPROXIMATIONS//DUBOVITSKII MILYUTIN THEOREM//DISTRIBUTED CONTROL PROBLEMS
10 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM

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