Class information for:
Level 1: CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25852 270 16.7 24%


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
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
885 2             JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 11426
25852 1                   CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE 270

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 CLOSED 1 FORMS authKW 804220 3% 89% 8
2 MORSE FORM FOLIATION authKW 791656 3% 100% 7
3 MORSE CONJECTURE authKW 452375 1% 100% 4
4 COMPACT LEAVES authKW 403903 2% 71% 5
5 NOVIKOV COMPLEX authKW 361898 1% 80% 4
6 ANALYTIC FLOW authKW 254459 1% 75% 3
7 MINIMAL COMPONENTS authKW 254459 1% 75% 3
8 NOVIKOV INEQUALITIES authKW 254459 1% 75% 3
9 COMPACT LEAF authKW 226187 1% 100% 2
10 FOLIATION GRAPH authKW 226187 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 11503 88% 0% 237
2 Mathematics, Applied 966 24% 0% 66
3 Multidisciplinary Sciences 52 3% 0% 7
4 Physics, Mathematical 40 4% 0% 11
5 Physics, Multidisciplinary 1 3% 0% 7
6 Mathematics, Interdisciplinary Applications 0 1% 0% 2
7 Automation & Control Systems -0 0% 0% 1
8 Mechanics -0 1% 0% 2
9 Physics, Particles & Fields -1 0% 0% 1
10 Physics, Condensed Matter -5 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 CENTRO INVESTIGACIN COMPUTACIN CIC 113094 0% 100% 1
2 CNICO NACL IPN 113094 0% 100% 1
3 MATEAT 113094 0% 100% 1
4 SCI ORITORIES 113094 0% 100% 1
5 THEORET DYNAM SYST 113094 0% 100% 1
6 DIPTO MATEMAT 56546 0% 50% 1
7 PL PROB MECH MATH 56546 0% 50% 1
8 VERKIN PHYS TECH LOW TEMP 56546 0% 50% 1
9 UP A 5028 CNRS 22617 0% 20% 1
10 SFB 701 11308 0% 10% 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 RUSSIAN MATHEMATICAL SURVEYS 18402 7% 1% 20
2 TOPOLOGY 10497 4% 1% 11
3 K-THEORY 6738 2% 1% 5
4 TOPOLOGY AND ITS APPLICATIONS 5349 6% 0% 17
5 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 4761 2% 1% 6
6 MATHEMATICAL NOTES 3821 5% 0% 13
7 ERGODIC THEORY AND DYNAMICAL SYSTEMS 3802 3% 0% 9
8 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 3345 2% 0% 6
9 JOURNAL OF SYMPLECTIC GEOMETRY 2025 1% 1% 2
10 ACTA SCIENTIARUM MATHEMATICARUM 1535 1% 1% 2

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 CLOSED 1 FORMS 804220 3% 89% 8 Search CLOSED+1+FORMS Search CLOSED+1+FORMS
2 MORSE FORM FOLIATION 791656 3% 100% 7 Search MORSE+FORM+FOLIATION Search MORSE+FORM+FOLIATION
3 MORSE CONJECTURE 452375 1% 100% 4 Search MORSE+CONJECTURE Search MORSE+CONJECTURE
4 COMPACT LEAVES 403903 2% 71% 5 Search COMPACT+LEAVES Search COMPACT+LEAVES
5 NOVIKOV COMPLEX 361898 1% 80% 4 Search NOVIKOV+COMPLEX Search NOVIKOV+COMPLEX
6 ANALYTIC FLOW 254459 1% 75% 3 Search ANALYTIC+FLOW Search ANALYTIC+FLOW
7 MINIMAL COMPONENTS 254459 1% 75% 3 Search MINIMAL+COMPONENTS Search MINIMAL+COMPONENTS
8 NOVIKOV INEQUALITIES 254459 1% 75% 3 Search NOVIKOV+INEQUALITIES Search NOVIKOV+INEQUALITIES
9 COMPACT LEAF 226187 1% 100% 2 Search COMPACT+LEAF Search COMPACT+LEAF
10 FOLIATION GRAPH 226187 1% 100% 2 Search FOLIATION+GRAPH Search FOLIATION+GRAPH

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 FARBER, M , SCHUTZ, D , (2008) CLOSED 1-FORMS IN TOPOLOGY AND DYNAMICS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 63. ISSUE 6. P. 1079 -1139 21 72% 0
2 GELBUKH, I , (2013) THE NUMBER OF SPLIT POINTS OF A MORSE FORM AND THE STRUCTURE OF ITS FOLIATION.MATHEMATICA SLOVACA. VOL. 63. ISSUE 2. P. 331-348 12 100% 1
3 GELBUKH, I , (2011) STRUCTURE OF A MORSE FORM FOLIATION ON A CLOSED SURFACE IN TERMS OF GENUS.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 29. ISSUE 4. P. 473-492 10 100% 0
4 MARZOUGUI, H , LOPEZ, GS , (2009) AREA PRESERVING ANALYTIC FLOWS WITH DENSE ORBITS.TOPOLOGY AND ITS APPLICATIONS. VOL. 156. ISSUE 18. P. 3011 -3015 10 100% 1
5 DYNNIKOV, IA , NOVIKOV, SP , (2005) TOPOLOGY OF QUASI-PERIODIC FUNCTIONS ON THE PLANE.RUSSIAN MATHEMATICAL SURVEYS. VOL. 60. ISSUE 1. P. 1-26 13 81% 3
6 SCHUTZ, D , (2007) ON THE WHITEHEAD GROUP OF NOVIKOV RINGS ASSOCIATED TO IRRATIONAL HOMOMORPHISMS.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 208. ISSUE 2. P. 449-466 11 85% 1
7 BABALIC, EM , LAZAROIU, CL , (2015) SINGULAR FOLIATIONS FOR M-THEORY COMPACTIFICATION.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 3. P. - 18 39% 3
8 GELBUKH, I , (2009) ON THE STRUCTURE OF A MORSE FORM FOLIATION.CZECHOSLOVAK MATHEMATICAL JOURNAL. VOL. 59. ISSUE 1. P. 207 -220 8 100% 8
9 GELBUKH, I , (2009) NUMBER OF MINIMAL COMPONENTS AND HOMOLOGICALLY INDEPENDENT COMPACT LEAVES FOR A MORSE FORM FOLIATION.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 46. ISSUE 4. P. 547 -557 8 100% 1
10 GELBUKH, I , (2011) ON COMPACT LEAVES OF A MORSE FORM FOLIATION.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 78. ISSUE 1. P. 37-48 7 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 14899 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
2 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
3 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
4 21525 MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS
5 5901 JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY
6 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
7 24086 UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP
8 26225 COARSE SHAPE//PRO CATEGORY//HOMOTOPY EPIMORPHISM
9 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
10 17793 NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER

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