Class information for:
Level 1: C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
35346 98 14.0 21%



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
35346 1                   C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET 98

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 C INFINITY TOPOLOGY authKW 623176 2% 100% 2
2 ORBIT PRESERVING DIFFEOMORPHISM authKW 623176 2% 100% 2
3 2 JET authKW 311588 1% 100% 1
4 COMPLEX OF FRAMED MORSE FUNCTIONS authKW 311588 1% 100% 1
5 CONTACT FOLIATIONS authKW 311588 1% 100% 1
6 FLIP EQUIVALENCE authKW 311588 1% 100% 1
7 FRAMED MORSE FUNCTION authKW 311588 1% 100% 1
8 FRAMED MORSE FUNCTIONS authKW 311588 1% 100% 1
9 GENERALIZED MORSE FUNCTIONS authKW 311588 1% 100% 1
10 LENINGRAD SCHOOL authKW 311588 1% 100% 1

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 4075 87% 0% 85
2 Mathematics, Applied 924 39% 0% 38
3 Physics, Mathematical 25 5% 0% 5
4 Mechanics 7 4% 0% 4
5 Materials Science, Textiles 7 1% 0% 1
6 Social Sciences, Mathematical Methods 5 1% 0% 1
7 Multidisciplinary Sciences 2 1% 0% 1
8 Mathematics, Interdisciplinary Applications 1 1% 0% 1
9 Statistics & Probability 0 1% 0% 1
10 Economics -0 1% 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 UKRAINIAN 311588 1% 100% 1
2 UMR 8025 155793 1% 50% 1
3 TOPOL 96618 7% 4% 7
4 GLENDON 18566 3% 2% 3
5 TERR MAGNETISM IONOSPHERE RADIO WAVE PROPA 1496 1% 0% 1
6 IMCCE 1091 1% 0% 1
7 UMR 6629 1076 1% 0% 1
8 MECH MATH 880 3% 0% 3
9 MATH PHYS MECH 854 1% 0% 1
10 STAT MATH UNIT 709 1% 0% 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 NONLINEAR OSCILLATIONS 32602 3% 3% 3
2 UKRAINIAN MATHEMATICAL JOURNAL 25868 9% 1% 9
3 MATHEMATICS MAGAZINE 19779 2% 3% 2
4 TOPOLOGY 15312 8% 1% 8
5 AMERICAN MATHEMATICAL MONTHLY 5647 7% 0% 7
6 PORTUGALIAE MATHEMATICA 1910 1% 1% 1
7 TOPOLOGY AND ITS APPLICATIONS 1835 6% 0% 6
8 SBORNIK MATHEMATICS 1809 3% 0% 3
9 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 1727 2% 0% 2
10 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 1617 3% 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 C INFINITY TOPOLOGY 623176 2% 100% 2 Search C+INFINITY+TOPOLOGY Search C+INFINITY+TOPOLOGY
2 ORBIT PRESERVING DIFFEOMORPHISM 623176 2% 100% 2 Search ORBIT+PRESERVING+DIFFEOMORPHISM Search ORBIT+PRESERVING+DIFFEOMORPHISM
3 2 JET 311588 1% 100% 1 Search 2+JET Search 2+JET
4 COMPLEX OF FRAMED MORSE FUNCTIONS 311588 1% 100% 1 Search COMPLEX+OF+FRAMED+MORSE+FUNCTIONS Search COMPLEX+OF+FRAMED+MORSE+FUNCTIONS
5 CONTACT FOLIATIONS 311588 1% 100% 1 Search CONTACT+FOLIATIONS Search CONTACT+FOLIATIONS
6 FLIP EQUIVALENCE 311588 1% 100% 1 Search FLIP+EQUIVALENCE Search FLIP+EQUIVALENCE
7 FRAMED MORSE FUNCTION 311588 1% 100% 1 Search FRAMED+MORSE+FUNCTION Search FRAMED+MORSE+FUNCTION
8 FRAMED MORSE FUNCTIONS 311588 1% 100% 1 Search FRAMED+MORSE+FUNCTIONS Search FRAMED+MORSE+FUNCTIONS
9 GENERALIZED MORSE FUNCTIONS 311588 1% 100% 1 Search GENERALIZED+MORSE+FUNCTIONS Search GENERALIZED+MORSE+FUNCTIONS
10 LENINGRAD SCHOOL 311588 1% 100% 1 Search LENINGRAD+SCHOOL Search LENINGRAD+SCHOOL

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 KUDRYAVTSEVA, EA , (2016) TOPOLOGY OF THE SPACES OF FUNCTIONS WITH PRESCRIBED SINGULARITIES ON SURFACES.DOKLADY MATHEMATICS. VOL. 93. ISSUE 3. P. 264 -266 8 100% 0
2 KUDRYAVTSEVA, EA , (2013) ON THE HOMOTOPY TYPE OF SPACES OF MORSE FUNCTIONS ON SURFACES.SBORNIK MATHEMATICS. VOL. 204. ISSUE 1. P. 75 -113 12 57% 1
3 MAKSYMENKO, SI , FESHCHENKO, BG , (2015) HOMOTOPIC PROPERTIES OF THE SPACES OF SMOOTH FUNCTIONS ON A 2-TORUS.UKRAINIAN MATHEMATICAL JOURNAL. VOL. 66. ISSUE 9. P. 1346 -1353 5 100% 0
4 KUDRYAVTSEVA, EA , PERMYAKOV, DA , (2010) FRAMED MORSE FUNCTIONS ON SURFACES.SBORNIK MATHEMATICS. VOL. 201. ISSUE 3-4. P. 501 -567 8 67% 0
5 MAKSYMENKO, S , (2010) IMAGE OF A SHIFT MAP ALONG THE ORBITS OF A FLOW.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 59. ISSUE 5. P. 1587 -1628 7 70% 0
6 MAKSYMENKO, S , (2011) LOCAL INVERSES OF SHIFT MAPS ALONG ORBITS OF FLOWS.OSAKA JOURNAL OF MATHEMATICS. VOL. 48. ISSUE 2. P. 415-455 6 75% 0
7 KUDRYAVTSEVA, EA , (2012) THE TOPOLOGY OF SPACES OF MORSE FUNCTIONS ON SURFACES.MATHEMATICAL NOTES. VOL. 92. ISSUE 1-2. P. 219-236 8 53% 0
8 MAKSYMENKO, SI , (2009) SYMMETRIES OF DEGENERATE CENTER SINGULARITIES OF PLANE VECTOR FIELDS.NONLINEAR OSCILLATIONS. VOL. 12. ISSUE 4. P. 522 -542 4 100% 0
9 BUDNYTS'KA, NV , RYBALKINA, TV , (2012) REALIZATION OF A CLOSED 1-FORM ON CLOSED ORIENTED SURFACES.UKRAINIAN MATHEMATICAL JOURNAL. VOL. 64. ISSUE 6. P. 844-856 3 100% 0
10 MAKSYMENKO, SI , (2010) KERNEL OF A MAP OF A SHIFT ALONG THE ORBITS OF CONTINUOUS FLOWS.UKRAINIAN MATHEMATICAL JOURNAL. VOL. 62. ISSUE 5. P. 748-757 3 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 19662 DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP
2 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
3 24086 UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP
4 13008 PERSISTENT HOMOLOGY//DISCRETE MORSE THEORY//COMPUTATIONAL TOPOLOGY
5 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
6 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
7 14464 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP
8 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY
9 19760 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
10 27198 NONPERTURBATIVE QUANTIZATION//GAUGE FIELD//PHYS MICROELECT ENGN

Go to start page