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

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
167 3       INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//PHYSICS, MATHEMATICAL 60542
1162 2             LIMIT CYCLE//ABELIAN INTEGRALS//NIELSEN NUMBER 9811
17369 1                   NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER 631

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NIELSEN NUMBER authKW 4059349 14% 95% 86
2 LEFSCHETZ NUMBER authKW 1517421 8% 58% 52
3 REIDEMEISTER NUMBER authKW 1056857 4% 92% 23
4 NIELSEN FIXED POINT THEORY authKW 901526 3% 95% 19
5 NIELSEN THEORY authKW 858594 3% 90% 19
6 NIELSEN NUMBERS authKW 851711 3% 95% 18
7 TWISTED CONJUGACY CLASSES authKW 801911 3% 94% 17
8 RELATIVE NIELSEN NUMBERS authKW 599354 2% 100% 12
9 COINCIDENCE THEORY authKW 527551 2% 81% 13
10 SMOOTH MAPS authKW 527551 2% 81% 13

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 32669 97% 0% 611
2 Mathematics, Applied 8516 46% 0% 291
3 Logic 9 0% 0% 2
4 Computer Science, Cybernetics 0 0% 0% 1
5 Physics, Mathematical 0 1% 0% 6
6 Multidisciplinary Sciences 0 0% 0% 2
7 Mathematics, Interdisciplinary Applications -0 0% 0% 3
8 Automation & Control Systems -1 0% 0% 1
9 Operations Research & Management Science -1 0% 0% 1
10 Statistics & Probability -2 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IME 115696 7% 6% 42
2 FB MATH 6 5 49946 0% 100% 1
3 MATH FONDAMENTALE PL 49946 0% 100% 1
4 MATHEMAT EMILE PICARD 49946 0% 100% 1
5 MOSCOW STATE UNIV DESIGN TECHNOL 49946 0% 100% 1
6 PLICAT INFORMAT MATH 49946 0% 100% 1
7 SONDERFOR UNGSBEREICH GEOMETRIE ANAL 170 49946 0% 100% 1
8 UNIDADE 5 49946 0% 100% 1
9 AUDER NONLINEAR STUDIES 28538 0% 29% 2
10 PL INFORMAT MATH 25749 1% 7% 7

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TOPOLOGY AND ITS APPLICATIONS 128500 20% 2% 127
2 JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 100028 5% 6% 32
3 FUNDAMENTA MATHEMATICAE 65446 8% 3% 51
4 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 45984 4% 4% 24
5 PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 19405 3% 2% 22
6 PACIFIC JOURNAL OF MATHEMATICS 13900 6% 1% 36
7 FIXED POINT THEORY AND APPLICATIONS 3058 1% 1% 5
8 FORUM MATHEMATICUM 3035 1% 1% 9
9 FIXED POINT THEORY 2908 1% 1% 5
10 OSAKA JOURNAL OF MATHEMATICS 2136 1% 0% 9

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NIELSEN NUMBER 4059349 14% 95% 86 Search NIELSEN+NUMBER Search NIELSEN+NUMBER
2 LEFSCHETZ NUMBER 1517421 8% 58% 52 Search LEFSCHETZ+NUMBER Search LEFSCHETZ+NUMBER
3 REIDEMEISTER NUMBER 1056857 4% 92% 23 Search REIDEMEISTER+NUMBER Search REIDEMEISTER+NUMBER
4 NIELSEN FIXED POINT THEORY 901526 3% 95% 19 Search NIELSEN+FIXED+POINT+THEORY Search NIELSEN+FIXED+POINT+THEORY
5 NIELSEN THEORY 858594 3% 90% 19 Search NIELSEN+THEORY Search NIELSEN+THEORY
6 NIELSEN NUMBERS 851711 3% 95% 18 Search NIELSEN+NUMBERS Search NIELSEN+NUMBERS
7 TWISTED CONJUGACY CLASSES 801911 3% 94% 17 Search TWISTED+CONJUGACY+CLASSES Search TWISTED+CONJUGACY+CLASSES
8 RELATIVE NIELSEN NUMBERS 599354 2% 100% 12 Search RELATIVE+NIELSEN+NUMBERS Search RELATIVE+NIELSEN+NUMBERS
9 COINCIDENCE THEORY 527551 2% 81% 13 Search COINCIDENCE+THEORY Search COINCIDENCE+THEORY
10 SMOOTH MAPS 527551 2% 81% 13 Search SMOOTH+MAPS Search SMOOTH+MAPS

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 20968 ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM
2 34351 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
3 38562 HURWITZ ACTION//3D LEMNISCATES//BIFOCAL CURVE
4 24174 PROPER G SPACE//ORBIT SPACE//G ANR
5 29800 MORSE FORM FOLIATION//CLOSED 1 FORMS//COMPACT LEAVES
6 15158 THOMPSONS GROUP//SIGMA INVARIANTS//FINITENESS PROPERTIES
7 22176 FOLD SINGULARITY//FOLD MAP//STEIN FACTORIZATION
8 15429 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//CLIFFORD KLEIN FORM
9 25100 EINSTEIN NILRADICAL//EINSTEIN METRICS//SOLITON METRIC
10 15305 CONLEY INDEX//COMPUTER ASSISTED PROOF//RIGOROUS NUMERICS

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