Class information for:
Level 1: SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11278 994 23.1 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
953 2             MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 10826
11278 1                   SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS 994

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 SPLITTING OBSTRUCTION GROUPS authKW 337900 1% 100% 11
2 SURGERY OBSTRUCTION authKW 276463 1% 100% 9
3 SURGERY OBSTRUCTION GROUPS authKW 276463 1% 100% 9
4 BROWDER LIVESAY INVARIANT authKW 245745 1% 100% 8
5 FIBERED ISOMORPHISM CONJECTURE authKW 245745 1% 100% 8
6 EQUIVARIANT SURGERY authKW 236289 1% 77% 10
7 SURGERY EXACT SEQUENCE authKW 215027 1% 100% 7
8 L THEORY authKW 210628 1% 57% 12
9 ASSEMBLY MAP authKW 207642 1% 52% 13
10 BROWDER LIVESAY GROUPS authKW 153591 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 54108 99% 0% 984
2 Mathematics, Applied 2368 20% 0% 201
3 Andrology 1 0% 0% 1
4 Multidisciplinary Sciences 0 0% 0% 3
5 Humanities, Multidisciplinary -0 0% 0% 1
6 Statistics & Probability -4 0% 0% 1
7 Physics, Mathematical -4 0% 0% 2
8 Urology & Nephrology -6 0% 0% 1
9 Physics, Nuclear -7 0% 0% 1
10 Physics, Particles & Fields -8 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 ENVIRONM MATH SCI 51180 1% 17% 10
2 LIBERAL ARTS SCI MATH 40956 0% 67% 2
3 LEHRSTUHL TOPOL 30718 0% 100% 1
4 VITEBSK BRANCH 30718 0% 100% 1
5 MATH ENVIRONM SCI 30716 0% 50% 2
6 COORDENACAO POS MATEMAT 15358 0% 50% 1
7 HAUSDORFF MATH HIM 15358 0% 50% 1
8 IST MATEMAT F ENRIQUES 15358 0% 50% 1
9 MATH INFORM 10238 0% 33% 1
10 OAXACA 10238 0% 33% 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 ANNALS OF MATHEMATICS STUDIES 44598 2% 8% 18
2 TOPOLOGY 34021 4% 3% 38
3 K-THEORY 29287 2% 5% 20
4 LECTURE NOTES IN MATHEMATICS 26762 8% 1% 79
5 FORUM MATHEMATICUM 21693 3% 2% 30
6 ALGEBRAIC AND GEOMETRIC TOPOLOGY 16221 3% 2% 25
7 COMMENTARII MATHEMATICI HELVETICI 13896 2% 2% 24
8 TOPOLOGY AND ITS APPLICATIONS 13057 5% 1% 51
9 PURE AND APPLIED MATHEMATICS QUARTERLY 11587 1% 3% 12
10 OSAKA JOURNAL OF MATHEMATICS 10351 3% 1% 25

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 SPLITTING OBSTRUCTION GROUPS 337900 1% 100% 11 Search SPLITTING+OBSTRUCTION+GROUPS Search SPLITTING+OBSTRUCTION+GROUPS
2 SURGERY OBSTRUCTION 276463 1% 100% 9 Search SURGERY+OBSTRUCTION Search SURGERY+OBSTRUCTION
3 SURGERY OBSTRUCTION GROUPS 276463 1% 100% 9 Search SURGERY+OBSTRUCTION+GROUPS Search SURGERY+OBSTRUCTION+GROUPS
4 BROWDER LIVESAY INVARIANT 245745 1% 100% 8 Search BROWDER+LIVESAY+INVARIANT Search BROWDER+LIVESAY+INVARIANT
5 FIBERED ISOMORPHISM CONJECTURE 245745 1% 100% 8 Search FIBERED+ISOMORPHISM+CONJECTURE Search FIBERED+ISOMORPHISM+CONJECTURE
6 EQUIVARIANT SURGERY 236289 1% 77% 10 Search EQUIVARIANT+SURGERY Search EQUIVARIANT+SURGERY
7 SURGERY EXACT SEQUENCE 215027 1% 100% 7 Search SURGERY+EXACT+SEQUENCE Search SURGERY+EXACT+SEQUENCE
8 L THEORY 210628 1% 57% 12 Search L+THEORY Search L+THEORY
9 ASSEMBLY MAP 207642 1% 52% 13 Search ASSEMBLY+MAP Search ASSEMBLY+MAP
10 BROWDER LIVESAY GROUPS 153591 1% 100% 5 Search BROWDER+LIVESAY+GROUPS Search BROWDER+LIVESAY+GROUPS

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 CAPPELL, S , WEINBERGER, S , (2001) SURGERY THEORETIC METHODS IN GROUP ACTIONS.SURVEYS ON SURGERY THEORY, VOL 2. VOL. . ISSUE 149. P. 285 -317 42 91% 0
2 MORIMOTO, M , (2015) TANGENTIAL REPRESENTATIONS OF ONE-FIXED-POINT ACTIONS ON SPHERES AND SMITH EQUIVALENCE.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 67. ISSUE 1. P. 195 -205 21 100% 0
3 PAWALOWSKI, K , SUMI, T , (2013) THE LAITINEN CONJECTURE FOR FINITE NON-SOLVABLE GROUPS.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 56. ISSUE 1. P. 303 -336 21 100% 2
4 BARTELS, A , FARRELL, FT , LUCK, W , (2014) THE FARRELL-JONES CONJECTURE FOR COCOMPACT LATTICES IN VIRTUALLY CONNECTED LIE GROUPS.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 27. ISSUE 2. P. 339-388 20 95% 6
5 BARTELS, A , LUCK, W , (2012) THE BOREL CONJECTURE FOR HYPERBOLIC AND CAT(0)-GROUPS.ANNALS OF MATHEMATICS. VOL. 175. ISSUE 2. P. 631 -689 25 74% 23
6 MORIMOTO, M , (2010) NONTRIVIAL P(G)-MATCHED G-RELATED PAIRS FOR FINITE GAP OLIVER GROUPS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 62. ISSUE 2. P. 623 -647 20 100% 2
7 LUCK, W , ROSENTHAL, D , (2014) ON THE K - AND L-THEORY OF HYPERBOLIC AND VIRTUALLY FINITELY GENERATED ABELIAN GROUPS.FORUM MATHEMATICUM. VOL. 26. ISSUE 5. P. 1565 -1609 20 91% 0
8 BUSTAMANTE, M , SALDANA, LJS , (2016) ON THE ALGEBRAIC K-THEORY OF THE HILBERT MODULAR GROUP.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 16. ISSUE 4. P. 2107 -2125 18 95% 0
9 MORIMOTO, M , (2016) ONE-FIXED-POINT ACTIONS ON SPHERES AND SMITH SETS.OSAKA JOURNAL OF MATHEMATICS. VOL. 53. ISSUE 4. P. 1003 -1013 17 100% 0
10 BAK, A , MORIMOTO, M , (2005) THE DIMENSION OF SPHERES WITH SMOOTH ONE FIXED POINT ACTIONS.FORUM MATHEMATICUM. VOL. 17. ISSUE 2. P. 199 -216 20 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES
2 22801 PROPER G SPACE//G ANR//ORBIT SPACE
3 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
4 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
5 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX
6 6364 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION
7 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT
8 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
9 6559 MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES
10 11480 INTERSECTION HOMOLOGY//ALGEBRAIC CYCLES//CHOW GROUPS

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