Class information for:
Level 1: NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17793 582 17.1 35%


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
2047 2             NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE 5355
17793 1                   NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER 582

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 NIELSEN NUMBER authKW 4002586 14% 94% 81
2 LEFSCHETZ NUMBER authKW 1306029 8% 54% 46
3 REIDEMEISTER NUMBER authKW 1058042 4% 92% 22
4 NIELSEN FIXED POINT THEORY authKW 944371 3% 100% 18
5 NIELSEN NUMBERS authKW 842354 3% 94% 17
6 TWISTED CONJUGACY CLASSES authKW 842354 3% 94% 17
7 NIELSEN THEORY authKW 758115 3% 85% 17
8 RELATIVE NIELSEN NUMBERS authKW 629581 2% 100% 12
9 COINCIDENCE THEORY authKW 554157 2% 81% 13
10 REIDEMEISTER TRACE authKW 472185 2% 100% 9

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 30556 97% 0% 566
2 Mathematics, Applied 6846 43% 0% 251
3 Logic 11 0% 0% 2
4 Multidisciplinary Sciences 0 0% 0% 2
5 Mathematics, Interdisciplinary Applications 0 1% 0% 3
6 Physics, Mathematical -0 1% 0% 4
7 Automation & Control Systems -1 0% 0% 1
8 Operations Research & Management Science -1 0% 0% 1
9 Statistics & Probability -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 IME 117001 7% 6% 40
2 FB MATH 6 5 52465 0% 100% 1
3 MATH FONDAMENTALE PL 52465 0% 100% 1
4 MATHEMAT EMILE PICARD 52465 0% 100% 1
5 MOSCOW STATE UNIV DESIGN TECHNOL 52465 0% 100% 1
6 SONDERFOR UNGSBEREICH GEOMETRIE ANAL 170 52465 0% 100% 1
7 UNIDADE 5 52465 0% 100% 1
8 NOWOURSYNOWSKA 159 26232 0% 50% 1
9 UMR 5580 MATH EMILE PICARD 26232 0% 50% 1
10 MATH INTERDISCIPLINARY SCI 26130 2% 4% 13

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 TOPOLOGY AND ITS APPLICATIONS 124188 21% 2% 120
2 JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 86666 4% 6% 26
3 FUNDAMENTA MATHEMATICAE 64971 8% 3% 49
4 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 43291 4% 4% 22
5 PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 16329 4% 1% 22
6 PACIFIC JOURNAL OF MATHEMATICS 14850 6% 1% 36
7 FORUM MATHEMATICUM 3326 2% 1% 9
8 ALGEBRAIC AND GEOMETRIC TOPOLOGY 2830 1% 1% 8
9 K-THEORY 1996 1% 1% 4
10 BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 1970 1% 1% 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 NIELSEN NUMBER 4002586 14% 94% 81 Search NIELSEN+NUMBER Search NIELSEN+NUMBER
2 LEFSCHETZ NUMBER 1306029 8% 54% 46 Search LEFSCHETZ+NUMBER Search LEFSCHETZ+NUMBER
3 REIDEMEISTER NUMBER 1058042 4% 92% 22 Search REIDEMEISTER+NUMBER Search REIDEMEISTER+NUMBER
4 NIELSEN FIXED POINT THEORY 944371 3% 100% 18 Search NIELSEN+FIXED+POINT+THEORY Search NIELSEN+FIXED+POINT+THEORY
5 NIELSEN NUMBERS 842354 3% 94% 17 Search NIELSEN+NUMBERS Search NIELSEN+NUMBERS
6 TWISTED CONJUGACY CLASSES 842354 3% 94% 17 Search TWISTED+CONJUGACY+CLASSES Search TWISTED+CONJUGACY+CLASSES
7 NIELSEN THEORY 758115 3% 85% 17 Search NIELSEN+THEORY Search NIELSEN+THEORY
8 RELATIVE NIELSEN NUMBERS 629581 2% 100% 12 Search RELATIVE+NIELSEN+NUMBERS Search RELATIVE+NIELSEN+NUMBERS
9 COINCIDENCE THEORY 554157 2% 81% 13 Search COINCIDENCE+THEORY Search COINCIDENCE+THEORY
10 REIDEMEISTER TRACE 472185 2% 100% 9 Search REIDEMEISTER+TRACE Search REIDEMEISTER+TRACE

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 HEATH, PR , (2015) GROUPOIDS AND RELATIONS AMONG REIDEMEISTER AND AMONG NIELSEN NUMBERS.TOPOLOGY AND ITS APPLICATIONS. VOL. 181. ISSUE . P. 3 -33 24 100% 1
2 FEL'SHTYN, A , LEE, JB , (2015) THE NIELSEN AND REIDEMEISTER NUMBERS OF MAPS ON INFRA-SOLVMANIFOLDS OF TYPE (R).TOPOLOGY AND ITS APPLICATIONS. VOL. 181. ISSUE . P. 62 -103 28 82% 1
3 WONG, P , (2001) NIELSEN FIXED POINT THEORY FOR PARTIALLY ORDERED SETS.TOPOLOGY AND ITS APPLICATIONS. VOL. 110. ISSUE 3. P. 185-209 30 100% 1
4 GRAFF, G , JEZIERSKI, J , (2013) COMBINATORIAL SCHEME OF FINDING MINIMAL NUMBER OF PERIODIC POINTS FOR SMOOTH SELF-MAPS OF SIMPLY CONNECTED MANIFOLDS.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 13. ISSUE 1. P. 63-84 21 91% 0
5 KOSCHORKE, U , (2011) MINIMUM NUMBERS AND WECKEN THEOREMS IN TOPOLOGICAL COINCIDENCE THEORY. I.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 10. ISSUE 1. P. 3-36 20 95% 0
6 FEL'SHTYN, A , TROITSKY, E , (2015) ASPECTS OF THE PROPERTY R-INFINITY.JOURNAL OF GROUP THEORY. VOL. 18. ISSUE 6. P. 1021 -1034 24 71% 0
7 BROWN, RF , (2015) CONSTRUCTION OF MULTIPLY FIXED N-VALUED MAPS.TOPOLOGY AND ITS APPLICATIONS. VOL. 196. ISSUE . P. 249 -259 20 83% 0
8 GRAFF, G , JEZIERSKI, J , (2012) ESTIMATION OF THE MINIMAL NUMBER OF PERIODIC POINTS FOR SMOOTH SELF-MAPS OF ODD DIMENSIONAL REAL PROJECTIVE SPACES.TOPOLOGY AND ITS APPLICATIONS. VOL. 159. ISSUE 18. P. 3752-3759 17 100% 0
9 FEL'SHTYN, A , NASYBULLOV, T , (2016) THE R-INFINITY AND S-INFINITY PROPERTIES FOR LINEAR ALGEBRAIC GROUPS.JOURNAL OF GROUP THEORY. VOL. 19. ISSUE 5. P. 901 -921 21 72% 0
10 FOMENKO, TN , (2008) MINIMIZING COINCIDENCE IN POSITIVE CODIMENSION.MATHEMATICAL NOTES. VOL. 84. ISSUE 3-4. P. 407-416 18 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS
2 34098 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
3 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS
4 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES
5 19662 DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP
6 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
7 25852 CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE
8 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
9 16171 SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS
10 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS

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