Class information for:
Level 1: KNOT SPINNING//SIMPLE KNOT//4 KNOT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
36118 86 15.8 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
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
36118 1                   KNOT SPINNING//SIMPLE KNOT//4 KNOT 86

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 KNOT SPINNING authKW 1065197 3% 100% 3
2 SIMPLE KNOT authKW 811575 5% 57% 4
3 4 KNOT authKW 710131 2% 100% 2
4 KNOT MODULE authKW 710131 2% 100% 2
5 BLANCHFIELD DUALITY authKW 355066 1% 100% 1
6 DISK KNOT authKW 355066 1% 100% 1
7 FOX SMYTHE authKW 355066 1% 100% 1
8 FRAME SPINNING authKW 355066 1% 100% 1
9 KNOTS WITH PI1CONGRUENT TO Z authKW 355066 1% 100% 1
10 POSTNIKOV authKW 355066 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 4124 93% 0% 80
2 Mathematics, Applied 91 14% 0% 12
3 Multidisciplinary Sciences 2 1% 0% 1
4 Physics, Multidisciplinary 1 3% 0% 3
5 Computer Science, Software Engineering 1 1% 0% 1
6 Computer Science, Theory & Methods 0 1% 0% 1
7 Food Science & Technology -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 ZAKLAD FIZJOL ZYWIENIA CZLOWIEKA 88765 1% 25% 1
2 WYDZ NAUK ZYWNOSCI RYBACTWA 23669 1% 7% 1
3 DPTO MATEMAT 1928 1% 1% 1
4 ALGEBRA 173 1% 0% 1
5 MATH 70 12% 0% 10
6 MATH STAT 41 3% 0% 3
7 MATH SCI 14 2% 0% 2
8 CIVIL ENGN 2 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 IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK 31558 2% 4% 2
2 COMMENTARII MATHEMATICI HELVETICI 13696 8% 1% 7
3 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 13242 9% 0% 8
4 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 1775 5% 0% 4
5 MATHEMATISCHE ANNALEN 1206 5% 0% 4
6 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 1136 1% 0% 1
7 MATHEMATISCHE ZEITSCHRIFT 1123 5% 0% 4
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1033 8% 0% 7
9 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 966 6% 0% 5
10 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 885 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 KNOT SPINNING 1065197 3% 100% 3 Search KNOT+SPINNING Search KNOT+SPINNING
2 SIMPLE KNOT 811575 5% 57% 4 Search SIMPLE+KNOT Search SIMPLE+KNOT
3 4 KNOT 710131 2% 100% 2 Search 4+KNOT Search 4+KNOT
4 KNOT MODULE 710131 2% 100% 2 Search KNOT+MODULE Search KNOT+MODULE
5 BLANCHFIELD DUALITY 355066 1% 100% 1 Search BLANCHFIELD+DUALITY Search BLANCHFIELD+DUALITY
6 DISK KNOT 355066 1% 100% 1 Search DISK+KNOT Search DISK+KNOT
7 FOX SMYTHE 355066 1% 100% 1 Search FOX+SMYTHE Search FOX+SMYTHE
8 FRAME SPINNING 355066 1% 100% 1 Search FRAME+SPINNING Search FRAME+SPINNING
9 KNOTS WITH PI1CONGRUENT TO Z 355066 1% 100% 1 Search KNOTS+WITH+PI1CONGRUENT+TO+Z Search KNOTS+WITH+PI1CONGRUENT+TO+Z
10 POSTNIKOV 355066 1% 100% 1 Search POSTNIKOV Search POSTNIKOV

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 KEARTON, C , WILSON, SMJ , (2003) SIMPLE NON-FINITE KNOTS ARE NOT PRIME IN HIGHER DIMENSIONS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 12. ISSUE 2. P. 225-241 7 100% 0
2 HILLMAN, JA , KEARTON, C , (1998) SIMPLE 4-KNOTS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 7. ISSUE 7. P. 907-923 8 89% 0
3 KEARTON, C , WILSON, SMJ , (1999) SPINNING AND BRANCHED CYCLIC COVERS OF KNOTS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 455. ISSUE 1986. P. 2235 -2244 6 100% 0
4 HILLMAN, JA , KEARTON, C , (1997) ALGEBRAIC INVARIANTS OF SIMPLE 4-KNOTS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 6. ISSUE 3. P. 307-318 7 88% 0
5 FRIEDMAN, G , (2008) COBORDISM OF DISK KNOTS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 163. ISSUE 1. P. 139-188 4 100% 0
6 BAYERFLUCKIGER, E , KEARTON, C , WILSON, SMJ , (1987) DECOMPOSITION OF MODULES, FORMS AND SIMPLE KNOTS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 375. ISSUE . P. 167-183 7 100% 3
7 FRIEDMAN, G , (2004) ALL FRAME-SPUN KNOTS ARE SLICE.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 132. ISSUE 10. P. 3103-3109 4 80% 0
8 HILLMAN, JA , KEARTON, C , (1989) STABLE ISOMETRY STRUCTURES AND THE FACTORIZATION OF Q-ACYCLIC STABLE KNOTS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 39. ISSUE . P. 175-182 5 100% 1
9 BAYERFLUCKIGER, E , KEARTON, C , WILSON, SMJ , (1989) FINITENESS THEOREMS FOR CONJUGACY CLASSES AND BRANCHED COVERS OF KNOTS.MATHEMATISCHE ZEITSCHRIFT. VOL. 201. ISSUE 4. P. 485-493 5 100% 0
10 FARBER, MS , (1983) THE CLASSIFICATION OF SIMPLE KNOTS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 38. ISSUE 5. P. 63-117 8 89% 9

Classes with closest relation at Level 1


Rank Class id link
1 2351 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL
2 13819 VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
3 27891 SIMPLICIAL VOLUME//SELF HOMOTOPY EQUIVALENCE//RELATIVE BOUNDED COHOMOLOGY
4 11278 SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS
5 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
6 6364 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION
7 10734 KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE
8 22485 UNIMODULAR ROWS//EULER CLASS GROUPS//CONSTRUCTIVE ALGEBRA
9 25245 DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS
10 27463 AUGMENTATION IDEAL//AUGMENTATION QUOTIENT//INTEGRAL GROUP RING

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