Class information for:
Level 1: DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19662 495 17.8 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
19662 1                   DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP 495

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 DIFFERENTIAL GEOMETRY address 824761 4% 70% 19
2 DELETED PRODUCT authKW 499659 2% 90% 9
3 LINK MAP authKW 317243 1% 86% 6
4 APPROXIMABILITY BY EMBEDDINGS authKW 308433 1% 100% 5
5 BASIC EMBEDDING authKW 308433 1% 100% 5
6 METASTABLE CASE authKW 246746 1% 100% 4
7 FOLD SINGULARITY authKW 246742 1% 67% 6
8 STEIN FACTORIZATION authKW 220306 1% 71% 5
9 STIEFEL WHITNEY NUMBER authKW 220306 1% 71% 5
10 REGULAR HOMOTOPY authKW 201878 1% 55% 6

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 26497 98% 0% 486
2 Mathematics, Applied 1897 25% 0% 125
3 Multidisciplinary Sciences 15 1% 0% 6
4 Computer Science, Theory & Methods -0 1% 0% 3
5 Statistics & Probability -1 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 DIFFERENTIAL GEOMETRY 824761 4% 70% 19
2 CHAIR DIFFERENTIAL GEOMETRY 185060 1% 100% 3
3 CIENCIAS FIS METODOS MATEMAT 61687 0% 100% 1
4 DIFFERENTIAL GEO 61687 0% 100% 1
5 MATH PHYS MECHAN 61687 0% 100% 1
6 TTL ANAL 61687 0% 100% 1
7 UMR CNRS 5028 61687 0% 100% 1
8 WYDZIAL MATEMAT FIZYKI INFORMATYKI 61687 0% 100% 1
9 MATH PHYS MECH 38102 3% 4% 15
10 HIGH GEOMETRY TOPOL 30842 0% 50% 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 TOPOLOGY AND ITS APPLICATIONS 46842 14% 1% 68
2 TOPOLOGY 25037 5% 2% 23
3 ALGEBRAIC AND GEOMETRIC TOPOLOGY 7504 2% 1% 12
4 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 7026 3% 1% 14
5 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 6237 4% 1% 18
6 COMMENTARII MATHEMATICI HELVETICI 5860 2% 1% 11
7 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 5078 2% 1% 12
8 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 4222 3% 0% 14
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3975 7% 0% 33
10 KYUSHU JOURNAL OF MATHEMATICS 3774 1% 2% 4

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 DELETED PRODUCT 499659 2% 90% 9 Search DELETED+PRODUCT Search DELETED+PRODUCT
2 LINK MAP 317243 1% 86% 6 Search LINK+MAP Search LINK+MAP
3 APPROXIMABILITY BY EMBEDDINGS 308433 1% 100% 5 Search APPROXIMABILITY+BY+EMBEDDINGS Search APPROXIMABILITY+BY+EMBEDDINGS
4 BASIC EMBEDDING 308433 1% 100% 5 Search BASIC+EMBEDDING Search BASIC+EMBEDDING
5 METASTABLE CASE 246746 1% 100% 4 Search METASTABLE+CASE Search METASTABLE+CASE
6 FOLD SINGULARITY 246742 1% 67% 6 Search FOLD+SINGULARITY Search FOLD+SINGULARITY
7 STEIN FACTORIZATION 220306 1% 71% 5 Search STEIN+FACTORIZATION Search STEIN+FACTORIZATION
8 STIEFEL WHITNEY NUMBER 220306 1% 71% 5 Search STIEFEL+WHITNEY+NUMBER Search STIEFEL+WHITNEY+NUMBER
9 REGULAR HOMOTOPY 201878 1% 55% 6 Search REGULAR+HOMOTOPY Search REGULAR+HOMOTOPY
10 GENERIC MAP 192767 1% 63% 5 Search GENERIC+MAP Search GENERIC+MAP

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 REPOVS, D , SKOPENKOV, AB , (1999) NEW RESULTS ON EMBEDDINGS OF POLYHEDRA AND MANIFOLDS IN EUCLIDEAN SPACES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 54. ISSUE 6. P. 1149 -1196 23 88% 11
2 ANDO, Y , (2008) COBORDISMS OF MAPS WITH SINGULARITIES OF GIVEN CLASS.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 8. ISSUE 4. P. 1989-2029 14 100% 5
3 CENCELJ, M , REPOVS, D , SKOPENKOV, MB , (2012) CLASSIFICATION OF KNOTTED TORI IN 2-METASTABLE DIMENSION.SBORNIK MATHEMATICS. VOL. 203. ISSUE 11. P. 1654 -1681 13 93% 1
4 KALMAR, B , (2009) FOLD MAPS AND IMMERSIONS FROM THE VIEWPOINT OF COBORDISM.PACIFIC JOURNAL OF MATHEMATICS. VOL. 239. ISSUE 2. P. 317-342 13 93% 2
5 KALMAR, B , (2009) FOLD COBORDISMS AND STABLE HOMOTOPY GROUPS.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 46. ISSUE 4. P. 437 -447 12 100% 0
6 SKOPENKOV, M , (2015) WHEN IS THE SET OF EMBEDDINGS FINITE UP TO ISOTOPY?.INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 26. ISSUE 7. P. - 11 92% 0
7 SAEKI, O , (2004) TOPOLOGY OF SINGULAR FIBERS OF DIFFERENTIABLE MAPS.TOPOLOGY OF SINGULAR FIBERS OF DIFFERENTIABLE MAPS. VOL. 1854. ISSUE . P. 1-+ 16 80% 0
8 HIRATO, Y , TAKASE, M , (2012) COMPOSITIONS OF EQUI-DIMENSIONAL FOLD MAPS.FUNDAMENTA MATHEMATICAE. VOL. 216. ISSUE 2. P. 119 -128 10 100% 0
9 SADYKOV, R , (2012) FOLD MAPS, FRAMED IMMERSIONS AND SMOOTH STRUCTURES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 364. ISSUE 4. P. 2193 -2212 12 80% 1
10 MELIKHOV, SA , (2009) THE VAN KAMPEN OBSTRUCTION AND ITS RELATIVES.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 266. ISSUE 1. P. 142 -176 18 55% 4

Classes with closest relation at Level 1


Rank Class id link
1 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
2 35850 CHARACTERISTIC RANK//CUP LENGTH//ALGEBRA GEOMETRY MATH EDUC
3 13819 VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
4 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
5 7469 LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI
6 6364 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION
7 17793 NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER
8 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
9 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
10 2351 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL

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