Class information for:
Level 1: COARSE SHAPE//PRO CATEGORY//HOMOTOPY EPIMORPHISM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26225 260 16.6 23%


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
1679 2             INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION//MATHEMATICS//CONJUGACY PROBLEM 6788
26225 1                   COARSE SHAPE//PRO CATEGORY//HOMOTOPY EPIMORPHISM 260

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 COARSE SHAPE authKW 1291878 4% 100% 11
2 PRO CATEGORY authKW 1258314 6% 71% 15
3 HOMOTOPY EPIMORPHISM authKW 822104 3% 100% 7
4 HOMOTOPY PRO GROUP authKW 587217 2% 100% 5
5 HOMOTOPY MONOMORPHISM authKW 528493 2% 75% 6
6 COARSE SHAPE GROUP authKW 469774 2% 100% 4
7 NON SADDLE SET authKW 469774 2% 100% 4
8 WEAK SHAPE authKW 469774 2% 100% 4
9 MATEMAT GEOMETR TOPOL address 352330 1% 100% 3
10 MORSE EQUATIONS authKW 352330 1% 100% 3

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 11555 90% 0% 233
2 Mathematics, Applied 3956 49% 0% 127
3 Physics, Mathematical 13 3% 0% 7
4 Computer Science, Theory & Methods 2 2% 0% 4
5 Automation & Control Systems 1 1% 0% 2
6 Mechanics 0 2% 0% 4
7 Physics, Multidisciplinary 0 2% 0% 6
8 Astronomy & Astrophysics 0 2% 0% 5
9 Multidisciplinary Sciences 0 0% 0% 1
10 Operations Research & Management Science -0 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 MATEMAT GEOMETR TOPOL 352330 1% 100% 3
2 ET SUPER INGN MONTES 268439 2% 57% 4
3 C C MATEMAT 117443 0% 100% 1
4 CC MATH GEOMETRIA TOPOL 117443 0% 100% 1
5 CIENCIAS MATEMAT FUNDAMENTAL 117443 0% 100% 1
6 EPARTMENT MATH 117443 0% 100% 1
7 ETSI MONTES UD MATEMAT 117443 0% 100% 1
8 GEOGMETRIA TOPOL 117443 0% 100% 1
9 MATEMAT PL MECCAN COMPUTAZ 117443 0% 100% 1
10 UNIDAD DOCENTE MATEMAT 117441 1% 50% 2

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 48255 19% 1% 50
2 GLASNIK MATEMATICKI 44467 4% 4% 10
3 FUNDAMENTA MATHEMATICAE 8712 5% 1% 12
4 MATHEMATICAL COMMUNICATIONS 5846 2% 1% 4
5 ACTA MATHEMATICA HUNGARICA 2533 3% 0% 8
6 RAIRO-AUTOMATIQUE-SYSTEMS ANALYSIS AND CONTROL 2133 0% 2% 1
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2008 7% 0% 17
8 DIFFERENTIAL EQUATIONS 2003 3% 0% 8
9 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 1676 2% 0% 5
10 HOMOLOGY HOMOTOPY AND APPLICATIONS 1266 1% 1% 2

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 COARSE SHAPE 1291878 4% 100% 11 Search COARSE+SHAPE Search COARSE+SHAPE
2 PRO CATEGORY 1258314 6% 71% 15 Search PRO+CATEGORY Search PRO+CATEGORY
3 HOMOTOPY EPIMORPHISM 822104 3% 100% 7 Search HOMOTOPY+EPIMORPHISM Search HOMOTOPY+EPIMORPHISM
4 HOMOTOPY PRO GROUP 587217 2% 100% 5 Search HOMOTOPY+PRO+GROUP Search HOMOTOPY+PRO+GROUP
5 HOMOTOPY MONOMORPHISM 528493 2% 75% 6 Search HOMOTOPY+MONOMORPHISM Search HOMOTOPY+MONOMORPHISM
6 COARSE SHAPE GROUP 469774 2% 100% 4 Search COARSE+SHAPE+GROUP Search COARSE+SHAPE+GROUP
7 NON SADDLE SET 469774 2% 100% 4 Search NON+SADDLE+SET Search NON+SADDLE+SET
8 WEAK SHAPE 469774 2% 100% 4 Search WEAK+SHAPE Search WEAK+SHAPE
9 MORSE EQUATIONS 352330 1% 100% 3 Search MORSE+EQUATIONS Search MORSE+EQUATIONS
10 N SHAPE CONNECTEDNESS 352330 1% 100% 3 Search N+SHAPE+CONNECTEDNESS Search N+SHAPE+CONNECTEDNESS

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 ALONSO-MORON, M , CUCHILLO-IBANEZ, E , LUZON, A , (2008) EPSILON-CONNECTEDNESS, FINITE APPROXIMATIONS, SHAPE THEORY AND COARSE GRAINING IN HYPERSPACES.PHYSICA D-NONLINEAR PHENOMENA. VOL. 237. ISSUE 23. P. 3109 -3122 18 82% 0
2 BARGE, H , (2016) REGULAR BLOCKS AND CONLEY INDEX OF ISOLATED INVARIANT CONTINUA IN SURFACES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 146. ISSUE . P. 100 -119 15 68% 0
3 GIRALDO, A , LAGUNA, VF , SANJURJO, JMR , (2014) UNIFORM PERSISTENCE AND HOPF BIFURCATIONS IN R-+(N).JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 256. ISSUE 8. P. 2949-2964 15 58% 0
4 BILAN, NK , UGLESIC, N , (2013) THE WHITEHEAD TYPE THEOREMS IN COARSE SHAPE THEORY.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 15. ISSUE 2. P. 103 -125 8 100% 1
5 GIRALDO, A , JIMENEZ, R , MORON, MA , DEL PORTAL, FRR , SANJURJO, JMR , (2011) POINTED SHAPE AND GLOBAL ATTRACTORS FOR METRIZABLE SPACES.TOPOLOGY AND ITS APPLICATIONS. VOL. 158. ISSUE 2. P. 167-176 11 73% 1
6 BARGE, H , SANJURJO, JMR , (2014) UNSTABLE MANIFOLD, CONLEY INDEX AND FIXED POINTS OF FLOWS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 420. ISSUE 1. P. 835 -851 12 55% 0
7 UGLESIC, N , (2009) METRIZATION OF PRO-MORPHISM SETS.GLASNIK MATEMATICKI. VOL. 44. ISSUE 2. P. 499-531 7 100% 0
8 UGLESIC, N , (2013) ULTRAMETRIZATION OF PRO*-MORPHISM SETS.MATHEMATICAL COMMUNICATIONS. VOL. 18. ISSUE 1. P. 19-47 7 88% 0
9 GIRALDO, A , MORON, MA , DEL PORTAL, FRR , SANJURJO, JMR , (2005) SHAPE OF GLOBAL ATTRACTORS IN TOPOLOGICAL SPACES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 60. ISSUE 5. P. 837-847 11 65% 16
10 SANJURJO, JMR , (2012) ON THE FINE STRUCTURE OF THE GLOBAL ATTRACTOR OF A UNIFORMLY PERSISTENT FLOW.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 252. ISSUE 9. P. 4886-4897 12 50% 1

Classes with closest relation at Level 1


Rank Class id link
1 21737 HAWAIIAN EARRING//STRONG SHAPE//TOPOLOGICAL FUNDAMENTAL GROUP
2 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX
3 14916 CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF
4 37103 PARTIAL ENUMERATED SET//ACCEPTABLE NUMERATION//CONSTRUCTIVE FUNCTOR
5 34111 END SPACE//DISTANCE TO THE INTERSECTION//PQ SYMMETRIC
6 14793 CONTINUUM//HYPERSPACE//DENDROID
7 9894 COHOMOLOGICAL DIMENSION//ABSOLUTE EXTENSOR//TOPOLOGY AND ITS APPLICATIONS
8 25852 CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE
9 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
10 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS

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