Class information for:
Level 1: APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
22158 391 18.8 28%



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
22158 1                   APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR 391

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 APPROXIMATE FIBRATION authKW 1730095 6% 92% 24
2 HOPFIAN MANIFOLD authKW 1015232 3% 100% 13
3 CODIMENSION 2 FIBRATOR authKW 859042 3% 100% 11
4 CONTINUITY SET authKW 702853 2% 100% 9
5 DEFINING SEQUENCE authKW 555339 2% 89% 8
6 DEGREE ONE MOD 2 MAP authKW 546663 2% 100% 7
7 PROPER HOMOTOPY authKW 499803 2% 80% 8
8 EXTERIOR SPACE authKW 401628 2% 86% 6
9 CODIMENSION ONE MANIFOLD FACTOR authKW 390474 1% 100% 5
10 FIBRATOR authKW 390474 1% 100% 5

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 21614 100% 0% 390
2 Mathematics, Applied 3124 36% 0% 140
3 Statistics & Probability 1 1% 0% 4
4 Multidisciplinary Sciences -0 0% 0% 1
5 Mechanics -1 1% 0% 2

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 FOURIER B 74 78095 0% 100% 1
2 TMCB 275 78095 0% 100% 1
3 MATEMAT FUNDAMENTAL 40620 2% 7% 8
4 DMA ENS 39046 0% 50% 1
5 GEOMETRIA TOPOL 28967 5% 2% 19
6 FOURIER BP 74 15617 0% 20% 1
7 UMR MATH 8628 15617 0% 20% 1
8 CITE 3 11155 0% 14% 1
9 MATH PHYS MECH 10499 2% 2% 7
10 ESTADIST EIO 9760 0% 13% 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 80112 20% 1% 79
2 FUNDAMENTA MATHEMATICAE 21293 6% 1% 23
3 TOPOLOGY 19413 5% 1% 18
4 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 6676 7% 0% 28
5 ALGEBRAIC AND GEOMETRIC TOPOLOGY 6598 3% 1% 10
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 4747 8% 0% 32
7 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 4117 3% 0% 13
8 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 3825 1% 1% 4
9 GROUPS GEOMETRY AND DYNAMICS 3790 1% 1% 4
10 PACIFIC JOURNAL OF MATHEMATICS 3331 4% 0% 14

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 APPROXIMATE FIBRATION 1730095 6% 92% 24 Search APPROXIMATE+FIBRATION Search APPROXIMATE+FIBRATION
2 HOPFIAN MANIFOLD 1015232 3% 100% 13 Search HOPFIAN+MANIFOLD Search HOPFIAN+MANIFOLD
3 CODIMENSION 2 FIBRATOR 859042 3% 100% 11 Search CODIMENSION+2+FIBRATOR Search CODIMENSION+2+FIBRATOR
4 CONTINUITY SET 702853 2% 100% 9 Search CONTINUITY+SET Search CONTINUITY+SET
5 DEFINING SEQUENCE 555339 2% 89% 8 Search DEFINING+SEQUENCE Search DEFINING+SEQUENCE
6 DEGREE ONE MOD 2 MAP 546663 2% 100% 7 Search DEGREE+ONE+MOD+2+MAP Search DEGREE+ONE+MOD+2+MAP
7 PROPER HOMOTOPY 499803 2% 80% 8 Search PROPER+HOMOTOPY Search PROPER+HOMOTOPY
8 EXTERIOR SPACE 401628 2% 86% 6 Search EXTERIOR+SPACE Search EXTERIOR+SPACE
9 CODIMENSION ONE MANIFOLD FACTOR 390474 1% 100% 5 Search CODIMENSION+ONE+MANIFOLD+FACTOR Search CODIMENSION+ONE+MANIFOLD+FACTOR
10 FIBRATOR 390474 1% 100% 5 Search FIBRATOR Search FIBRATOR

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 OTERA, DE , (2016) TOPOLOGICAL TAMENESS CONDITIONS OF SPACES AND GROUPS: RESULTS AND DEVELOPMENTS.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 56. ISSUE 3. P. 357 -376 30 79% 0
2 DAVERMAN, RJ , (2005) FIBRATOR PROPERTIES OF MANIFOLDS.TOPOLOGY AND ITS APPLICATIONS. VOL. 153. ISSUE 2-3. P. 245-260 28 82% 1
3 FUNAR, L , LASHERAS, FF , REPOVS, D , (2012) GROUPS WHICH ARE NOT PROPERLY 3-REALIZABLE.REVISTA MATEMATICA IBEROAMERICANA. VOL. 28. ISSUE 2. P. 401 -414 19 95% 2
4 GRIMALDI, R , POENARU, V , (2013) ASYMPTOTIC TOPOLOGY AND MANIFOLDS WITH BOUNDED GEOMETRY.BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE. VOL. 56. ISSUE 4. P. 419 -434 22 76% 0
5 HALVERSON, DM , REPOVS, D , (2008) THE BING-BORSUK AND THE BUSEMANN CONJECTURES.MATHEMATICAL COMMUNICATIONS. VOL. 13. ISSUE 2. P. 163 -184 24 62% 1
6 VASILEVSKA, V , (2006) SPECIAL MANIFOLDS AND SHAPE FIBRATOR PROPERTIES.TOPOLOGY AND ITS APPLICATIONS. VOL. 153. ISSUE 15. P. 2765-2781 17 89% 0
7 CARDENAS, M , LASHERAS, FF , QUINTERO, A , ROY, R , (2016) A NOTE ON GROUP EXTENSIONS AND PROPER 3-REALIZABILITY.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 5. P. 3303 -3309 11 92% 0
8 CARDENAS, M , LASHERAS, FF , QUINTERO, A , (2013) THE PROPER LUSTERNIK-SCHNIRELMANN CATEGORY OF SEMISTABLE ONE-ENDED 3-MANIFOLDS.TOPOLOGY AND ITS APPLICATIONS. VOL. 160. ISSUE 5. P. 720-729 12 86% 1
9 LASHERAS, FF , ROY, R , (2013) RELATING THE FREIHEITSSATZ TO THE ASYMPTOTIC BEHAVIOR OF A GROUP.REVISTA MATEMATICA IBEROAMERICANA. VOL. 29. ISSUE 1. P. 75-89 11 92% 1
10 CARDENAS, M , LASHERAS, FF , QUINTERO, A , (2012) DETECTING COHOMOLOGY CLASSES FOR THE PROPER LS CATEGORY. THE CASE OF SEMISTABLE 3-MANIFOLDS.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 152. ISSUE . P. 223-249 12 86% 2

Classes with closest relation at Level 1



Rank Class id link
1 21737 HAWAIIAN EARRING//STRONG SHAPE//TOPOLOGICAL FUNDAMENTAL GROUP
2 15272 KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP
3 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
4 32134 DOMINION//SPECIAL AMALGAM//DECOMPOSABLE VARIETY
5 9894 COHOMOLOGICAL DIMENSION//ABSOLUTE EXTENSOR//TOPOLOGY AND ITS APPLICATIONS
6 11278 SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS
7 6364 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION
8 2654 FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS
9 26225 COARSE SHAPE//PRO CATEGORY//HOMOTOPY EPIMORPHISM
10 19662 DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP

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