Class information for:
Level 1: HAWAIIAN EARRING//STRONG SHAPE//TOPOLOGICAL FUNDAMENTAL GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21737 407 15.7 26%


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
21737 1                   HAWAIIAN EARRING//STRONG SHAPE//TOPOLOGICAL FUNDAMENTAL GROUP 407

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 HAWAIIAN EARRING authKW 1429038 5% 95% 20
2 STRONG SHAPE authKW 1204560 4% 94% 17
3 TOPOLOGICAL FUNDAMENTAL GROUP authKW 675221 2% 100% 9
4 APPROXIMATE RESOLUTION authKW 607697 2% 90% 9
5 STRONG HOMOLOGY authKW 552451 2% 82% 9
6 FUNDAMENTAL GROUP authKW 318906 9% 11% 37
7 COHERENT HOMOTOPY authKW 312601 1% 83% 5
8 NONCONTRACTIBLE COMPACTUM authKW 300098 1% 100% 4
9 SPANIER GROUP authKW 300098 1% 100% 4
10 APPROXIMATE INVERSE SYSTEM authKW 262579 2% 50% 7

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 22166 99% 0% 403
2 Mathematics, Applied 7276 53% 0% 215
3 Logic 3 0% 0% 1
4 Multidisciplinary Sciences 1 0% 0% 2
5 Psychology, Biological 0 0% 0% 1
6 Materials Science, Composites 0 0% 0% 1
7 Behavioral Sciences -1 0% 0% 1
8 Mechanics -1 1% 0% 3
9 Statistics & Probability -1 0% 0% 1
10 Polymer Science -4 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 INVEST MATEMAT LICADAS SISTEMAS IIMAS 75025 0% 100% 1
2 MATEMATISKE REALFAG 75025 0% 100% 1
3 METODOS MATEMAT NUMERICOS 75025 0% 100% 1
4 SOBOLEV MATH SD 75025 0% 100% 1
5 STEVENSON 1212 75025 0% 100% 1
6 ANAL SCI COMPUTAT 75023 0% 50% 2
7 EXCELLENCE ANAL ALGEBRA STRUCT 51615 2% 9% 8
8 EXCELLENCE ANAL ALGEBRA STRUCTU 37511 0% 50% 1
9 MATH PHYS MECH 29657 3% 3% 12
10 FAK MATEMAT FIZ 10344 0% 7% 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 252385 35% 2% 143
2 FUNDAMENTA MATHEMATICAE 65063 10% 2% 41
3 GLASNIK MATEMATICKI 28399 2% 4% 10
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 4849 8% 0% 33
5 RUSSIAN MATHEMATICAL SURVEYS 3679 3% 0% 11
6 HOMOLOGY HOMOTOPY AND APPLICATIONS 1819 1% 1% 3
7 LECTURE NOTES IN MATHEMATICS 1493 3% 0% 12
8 GEORGIAN MATHEMATICAL JOURNAL 1434 1% 1% 3
9 PACIFIC JOURNAL OF MATHEMATICS 1316 2% 0% 9
10 THEORY AND APPLICATIONS OF CATEGORIES 1091 0% 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 HAWAIIAN EARRING 1429038 5% 95% 20 Search HAWAIIAN+EARRING Search HAWAIIAN+EARRING
2 STRONG SHAPE 1204560 4% 94% 17 Search STRONG+SHAPE Search STRONG+SHAPE
3 TOPOLOGICAL FUNDAMENTAL GROUP 675221 2% 100% 9 Search TOPOLOGICAL+FUNDAMENTAL+GROUP Search TOPOLOGICAL+FUNDAMENTAL+GROUP
4 APPROXIMATE RESOLUTION 607697 2% 90% 9 Search APPROXIMATE+RESOLUTION Search APPROXIMATE+RESOLUTION
5 STRONG HOMOLOGY 552451 2% 82% 9 Search STRONG+HOMOLOGY Search STRONG+HOMOLOGY
6 FUNDAMENTAL GROUP 318906 9% 11% 37 Search FUNDAMENTAL+GROUP Search FUNDAMENTAL+GROUP
7 COHERENT HOMOTOPY 312601 1% 83% 5 Search COHERENT+HOMOTOPY Search COHERENT+HOMOTOPY
8 NONCONTRACTIBLE COMPACTUM 300098 1% 100% 4 Search NONCONTRACTIBLE+COMPACTUM Search NONCONTRACTIBLE+COMPACTUM
9 SPANIER GROUP 300098 1% 100% 4 Search SPANIER+GROUP Search SPANIER+GROUP
10 APPROXIMATE INVERSE SYSTEM 262579 2% 50% 7 Search APPROXIMATE+INVERSE+SYSTEM Search APPROXIMATE+INVERSE+SYSTEM

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 EDA, K , FISCHER, H , (2016) COTORSION-FREE GROUPS FROM A TOPOLOGICAL VIEWPOINT.TOPOLOGY AND ITS APPLICATIONS. VOL. 214. ISSUE . P. 21 -34 21 100% 0
2 EDA, K , (2005) ALGEBRAIC TOPOLOGY OF PEANO CONTINUA.TOPOLOGY AND ITS APPLICATIONS. VOL. 153. ISSUE 2-3. P. 213-226 22 100% 4
3 BRAZAS, J , (2013) THE FUNDAMENTAL GROUP AS A TOPOLOGICAL GROUP.TOPOLOGY AND ITS APPLICATIONS. VOL. 160. ISSUE 1. P. 170-188 15 100% 5
4 VIRK, Z , ZASTROW, A , (2013) A HOMOTOPICALLY HAUSDORFF SPACE WHICH DOES NOT ADMIT A GENERALIZED UNIVERSAL COVERING SPACE.TOPOLOGY AND ITS APPLICATIONS. VOL. 160. ISSUE 4. P. 656-666 15 94% 1
5 WILKINS, J , (2013) THE REVISED AND UNIFORM FUNDAMENTAL GROUPS AND UNIVERSAL COVERS OF GEODESIC SPACES.TOPOLOGY AND ITS APPLICATIONS. VOL. 160. ISSUE 6. P. 812-835 16 84% 3
6 BRAZAS, J , (2015) GENERALIZED COVERING SPACE THEORIES.THEORY AND APPLICATIONS OF CATEGORIES. VOL. 30. ISSUE . P. 1132 -1162 15 83% 0
7 BRAZAS, J , FABEL, P , (2015) ON FUNDAMENTAL GROUPS WITH THE QUOTIENT TOPOLOGY.JOURNAL OF HOMOTOPY AND RELATED STRUCTURES. VOL. 10. ISSUE 1. P. 71 -91 14 82% 0
8 BOGOPOLSKI, O , ZASTROW, A , (2012) THE WORD PROBLEM FOR SOME UNCOUNTABLE GROUPS GIVEN BY COUNTABLE WORDS.TOPOLOGY AND ITS APPLICATIONS. VOL. 159. ISSUE 3. P. 569 -586 13 87% 4
9 BRAZAS, J , FABEL, P , (2014) THICK SPANIER GROUPS AND THE FIRST SHAPE GROUP.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 44. ISSUE 5. P. 1415 -1444 11 92% 2
10 EDA, K , (2016) SINGULAR HOMOLOGY GROUPS OF ONE-DIMENSIONAL PEANO CONTINUA.FUNDAMENTA MATHEMATICAE. VOL. 232. ISSUE 2. P. 99 -115 9 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 26225 COARSE SHAPE//PRO CATEGORY//HOMOTOPY EPIMORPHISM
2 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
3 9894 COHOMOLOGICAL DIMENSION//ABSOLUTE EXTENSOR//TOPOLOGY AND ITS APPLICATIONS
4 27891 SIMPLICIAL VOLUME//SELF HOMOTOPY EQUIVALENCE//RELATIVE BOUNDED COHOMOLOGY
5 22801 PROPER G SPACE//G ANR//ORBIT SPACE
6 14793 CONTINUUM//HYPERSPACE//DENDROID
7 36903 CHILDS EARLY PRELINGUISTIC DEVELOPMENT//CONDITIONED AND UNCONDITIONED AVOIDANCE//CONFLICT DISCUSSIONS
8 28799 AXIOM OF CHOICE//WEAK AXIOMS OF CHOICE//BOOLEAN PRIME IDEAL THEOREM
9 34111 END SPACE//DISTANCE TO THE INTERSECTION//PQ SYMMETRIC
10 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE

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