Class information for:
Level 1: DENSITY TOPOLOGY//COMPARISON OF TOPOLOGIES//FIRST RETURN INTEGRALS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
33949 118 14.2 19%



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
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 DENSITY TOPOLOGY authKW 1079708 9% 38% 11
2 COMPARISON OF TOPOLOGIES authKW 776329 3% 100% 3
3 FIRST RETURN INTEGRALS authKW 776329 3% 100% 3
4 STRONG SWIATKOWSKI PROPERTY authKW 776329 3% 100% 3
5 LOWER DENSITY OPERATOR authKW 582245 3% 75% 3
6 FIRST RETURN CONTINUITY authKW 517552 2% 100% 2
7 FIRST RETURN RECOVERY authKW 517552 2% 100% 2
8 LOCALLY CONTRACTIVE MAPS authKW 517552 2% 100% 2
9 PEANO DERIVATIVE authKW 414037 3% 40% 4
10 DENSITY POINT authKW 291119 3% 38% 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 Mathematics 6444 99% 0% 117
2 Mathematics, Applied 1075 38% 0% 45

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 MIPG 64691 2% 13% 2
2 EQUIPE ANALYSE 14375 1% 6% 1
3 MATH 1165 37% 0% 44
4 MATH COMP SCI 704 8% 0% 10
5 ANAL 395 2% 0% 2
6 CIENCIAS MATEMAT 248 1% 0% 1
7 MATH PHYS 132 3% 0% 4
8 MATH SCI 104 5% 0% 6
9 ANAL MATEMAT 97 1% 0% 1
10 DIPARTIMENTO MATEMAT 71 2% 0% 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 ACTA MATHEMATICA HUNGARICA 31640 16% 1% 19
2 ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE 24785 3% 2% 4
3 FUNDAMENTA MATHEMATICAE 13347 8% 1% 10
4 MATHEMATICA SLOVACA 12198 5% 1% 6
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5007 15% 0% 18
6 GEORGIAN MATHEMATICAL JOURNAL 4960 3% 1% 3
7 ANALYSIS MATHEMATICA 1808 1% 1% 1
8 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 1805 7% 0% 8
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 1765 10% 0% 12
10 AMERICAN MATHEMATICAL MONTHLY 1527 3% 0% 4

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 DENSITY TOPOLOGY 1079708 9% 38% 11 Search DENSITY+TOPOLOGY Search DENSITY+TOPOLOGY
2 COMPARISON OF TOPOLOGIES 776329 3% 100% 3 Search COMPARISON+OF+TOPOLOGIES Search COMPARISON+OF+TOPOLOGIES
3 FIRST RETURN INTEGRALS 776329 3% 100% 3 Search FIRST+RETURN+INTEGRALS Search FIRST+RETURN+INTEGRALS
4 STRONG SWIATKOWSKI PROPERTY 776329 3% 100% 3 Search STRONG+SWIATKOWSKI+PROPERTY Search STRONG+SWIATKOWSKI+PROPERTY
5 LOWER DENSITY OPERATOR 582245 3% 75% 3 Search LOWER+DENSITY+OPERATOR Search LOWER+DENSITY+OPERATOR
6 FIRST RETURN CONTINUITY 517552 2% 100% 2 Search FIRST+RETURN+CONTINUITY Search FIRST+RETURN+CONTINUITY
7 FIRST RETURN RECOVERY 517552 2% 100% 2 Search FIRST+RETURN+RECOVERY Search FIRST+RETURN+RECOVERY
8 LOCALLY CONTRACTIVE MAPS 517552 2% 100% 2 Search LOCALLY+CONTRACTIVE+MAPS Search LOCALLY+CONTRACTIVE+MAPS
9 PEANO DERIVATIVE 414037 3% 40% 4 Search PEANO+DERIVATIVE Search PEANO+DERIVATIVE
10 DENSITY POINT 291119 3% 38% 3 Search DENSITY+POINT Search DENSITY+POINT

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 DARJI, UB , EVANS, MJ , (2008) FUNCTIONS NOT FIRST-RETURN INTEGRABLE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 347. ISSUE 2. P. 381-390 6 86% 0
2 CIESIELSKI, K , LARSON, L , OSTASZEWSKI, K , (1994) IOTA-DENSITY CONTINUOUS-FUNCTIONS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 107. ISSUE 515. P. R9-& 8 100% 2
3 BUCZOLICH, Z , DARJI, UB , O'MALLEY, RJ , (1998) IRRATIONAL ROTATIONS AND DIFFERENTIABILITY.ACTA MATHEMATICA HUNGARICA. VOL. 78. ISSUE 4. P. 305 -313 6 100% 0
4 MUKHOPADHYAY, SN , RAY, S , (2006) BAIRE*1, BAIRE 1 AND ZAHORSKI PROPERTIES OF HIGHER ORDER DERIVATIVES.ACTA MATHEMATICA HUNGARICA. VOL. 112. ISSUE 4. P. 285-305 4 100% 0
5 SVETIC, RE , VOLKMER, H , (1998) ON THE ULTIMATE PEANO DERIVATIVE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 218. ISSUE 2. P. 439-452 5 100% 2
6 IVANOVA, G , WAGNER-BOJAKOWSKA, E , (2016) ON SOME MODIFICATION OF DARBOUX PROPERTY.MATHEMATICA SLOVACA. VOL. 66. ISSUE 1. P. 79 -88 3 100% 0
7 GORAJSKA, M , HEJDUK, J , (2016) ON THE STRUCTURE OF THE POINTWISE DENSITY SETS ON THE REAL LINE.FILOMAT. VOL. 30. ISSUE 11. P. 2893 -2899 3 100% 0
8 HEJDUK, J , (2015) ON TOPOLOGIES IN THE FAMILY OF SETS WITH THE BAIRE PROPERTY.GEORGIAN MATHEMATICAL JOURNAL. VOL. 22. ISSUE 2. P. 243 -250 3 100% 0
9 FEJZIC, H , (2003) INFINITE APPROXIMATE PEANO DERIVATIVES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 131. ISSUE 8. P. 2527-2536 4 100% 0
10 HEJDUK, J , (2013) ON THE REGULARITY OF TOPOLOGIES IN THE FAMILY OF SETS HAVING THE BAIRE PROPERTY.FILOMAT. VOL. 27. ISSUE 7. P. 1291 -1295 3 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 21405 LINEABILITY//SPACEABILITY//ALGEBRABILITY
2 17204 HENSTOCK KURZWEIL INTEGRAL//MCSHANE INTEGRAL//KURZWEIL HENSTOCK INTEGRAL
3 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
4 16762 GENERALIZED TOPOLOGY//ACTA MATHEMATICA HUNGARICA//TOPOLOGICAL IDEAL
5 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON
6 16171 SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS
7 28799 AXIOM OF CHOICE//WEAK AXIOMS OF CHOICE//BOOLEAN PRIME IDEAL THEOREM
8 9563 O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL
9 20975 FARTHEST POINT//CHEBYSHEV SET//REMOTAL SET
10 20101 BOREL EQUIVALENCE RELATIONS//BOREL REDUCIBILITY//GRAEV METRIC

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