Class information for:
Level 1: APPROACH SPACE//APPLIED CATEGORICAL STRUCTURES//EFFECTIVE DESCENT MORPHISM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
17763 584 16.6 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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
276 3       FUZZY SETS AND SYSTEMS//ALGEBRA UNIVERSALIS//ROUGH SETS 43335
1635 2             APPLIED CATEGORICAL STRUCTURES//FUZZY TOPOLOGY//FUZZY SETS AND SYSTEMS 6966
17763 1                   APPROACH SPACE//APPLIED CATEGORICAL STRUCTURES//EFFECTIVE DESCENT MORPHISM 584

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 APPROACH SPACE authKW 1673116 7% 80% 40
2 APPLIED CATEGORICAL STRUCTURES journal 1347591 23% 19% 135
3 EFFECTIVE DESCENT MORPHISM authKW 820646 3% 83% 19
4 TOPOLOGICAL CATEGORY authKW 544610 4% 42% 25
5 LAX ALGEBRA authKW 501935 2% 80% 12
6 EXPONENTIAL OBJECT authKW 418283 1% 100% 8
7 CLOSURE OPERATOR authKW 402509 5% 24% 32
8 EXPONENTIABLE MORPHISM authKW 334623 1% 80% 8
9 CONSTANT MORPHISM authKW 313712 1% 100% 6
10 V CATEGORY authKW 284662 1% 78% 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 30447 97% 0% 566
2 Mathematics, Applied 4993 37% 0% 216
3 Logic 26 1% 0% 3
4 Computer Science, Theory & Methods 22 2% 0% 14
5 Statistics & Probability 1 1% 0% 5
6 Imaging Science & Photographic Technology -0 0% 0% 1
7 Engineering, Industrial -0 0% 0% 1
8 Computer Science, Information Systems -1 0% 0% 2
9 Computer Science, Artificial Intelligence -2 0% 0% 1
10 Engineering, Civil -2 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 CMUC MATEMAT 104571 0% 100% 2
2 VAKGRP WISKUNDE 90427 1% 22% 8
3 CMUC 59183 4% 5% 23
4 DIENST WISKUNDIGE ANAL 52285 0% 100% 1
5 FEL ELECT ENGN 52285 0% 100% 1
6 FJFI KATEDRA MATEMAT 52285 0% 100% 1
7 GESAMTHOCH ULE HAGEN 52285 0% 100% 1
8 MATH VAKGROEP WISKUNDE 52285 0% 100% 1
9 NCART 52285 0% 100% 1
10 OLIVEIRA HOSP 52285 0% 100% 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 APPLIED CATEGORICAL STRUCTURES 1347591 23% 19% 135
2 TOPOLOGY AND ITS APPLICATIONS 111684 20% 2% 114
3 THEORY AND APPLICATIONS OF CATEGORIES 32224 2% 5% 13
4 JOURNAL OF PURE AND APPLIED ALGEBRA 22407 9% 1% 50
5 ACTA MATHEMATICA HUNGARICA 8538 4% 1% 22
6 CZECHOSLOVAK MATHEMATICAL JOURNAL 6712 3% 1% 17
7 ALGEBRA UNIVERSALIS 4938 2% 1% 13
8 QUAESTIONES MATHEMATICAE 4376 1% 1% 6
9 MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE 2480 1% 1% 5
10 COMMUNICATIONS IN ALGEBRA 2357 4% 0% 21

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 APPROACH SPACE 1673116 7% 80% 40 Search APPROACH+SPACE Search APPROACH+SPACE
2 EFFECTIVE DESCENT MORPHISM 820646 3% 83% 19 Search EFFECTIVE+DESCENT+MORPHISM Search EFFECTIVE+DESCENT+MORPHISM
3 TOPOLOGICAL CATEGORY 544610 4% 42% 25 Search TOPOLOGICAL+CATEGORY Search TOPOLOGICAL+CATEGORY
4 LAX ALGEBRA 501935 2% 80% 12 Search LAX+ALGEBRA Search LAX+ALGEBRA
5 EXPONENTIAL OBJECT 418283 1% 100% 8 Search EXPONENTIAL+OBJECT Search EXPONENTIAL+OBJECT
6 CLOSURE OPERATOR 402509 5% 24% 32 Search CLOSURE+OPERATOR Search CLOSURE+OPERATOR
7 EXPONENTIABLE MORPHISM 334623 1% 80% 8 Search EXPONENTIABLE+MORPHISM Search EXPONENTIABLE+MORPHISM
8 CONSTANT MORPHISM 313712 1% 100% 6 Search CONSTANT+MORPHISM Search CONSTANT+MORPHISM
9 V CATEGORY 284662 1% 78% 7 Search V+CATEGORY Search V+CATEGORY
10 METRICALLY GENERATED THEORY 268894 1% 86% 6 Search METRICALLY+GENERATED+THEORY Search METRICALLY+GENERATED+THEORY

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 KULA, M , MARASLI, T , OZKAN, S , (2014) A NOTE ON CLOSEDNESS AND CONNECTEDNESS IN THE CATEGORY OF PROXIMITY SPACES.FILOMAT. VOL. 28. ISSUE 7. P. 1483 -1492 14 100% 0
2 CLEMENTINO, MM , HOFMANN, D , MONTOLI, A , (2014) COVERING MORPHISMS IN CATEGORIES OF RELATIONAL ALGEBRAS.APPLIED CATEGORICAL STRUCTURES. VOL. 22. ISSUE 5-6. P. 767 -788 15 88% 1
3 HOFMANN, D , (2014) THE ENRICHED VIETORIS MONAD ON REPRESENTABLE SPACES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 218. ISSUE 12. P. 2274 -2318 19 66% 1
4 SLAPAL, J , (2008) CONVERGENCE ON CATEGORIES.APPLIED CATEGORICAL STRUCTURES. VOL. 16. ISSUE 4. P. 503 -519 14 100% 0
5 CLEMENTINO, MM , HOFMANN, D , JANELIDZE, G , (2013) ON EXPONENTIABILITY OF ETALE ALGEBRAIC HOMOMORPHISMS.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 217. ISSUE 7. P. 1195-1207 13 93% 3
6 HOFMANN, D , THOLEN, W , (2012) LAX ALGEBRA MEETS TOPOLOGY.TOPOLOGY AND ITS APPLICATIONS. VOL. 159. ISSUE 9. P. 2434-2452 13 93% 6
7 HOFMANN, D , (2013) DUALITY FOR DISTRIBUTIVE SPACES.THEORY AND APPLICATIONS OF CATEGORIES. VOL. 28. ISSUE . P. 66 -122 16 73% 2
8 LOWEN, R , VAN OLMEN, C , VROEGRIJK, T , (2008) FUNCTIONAL IDEALS AND TOPOLOGICAL THEORIES.HOUSTON JOURNAL OF MATHEMATICS. VOL. 34. ISSUE 4. P. 1065-1089 15 88% 1
9 KULA, M , (2012) SEPARATION PROPERTIES AT P FOR THE TOPOLOGICAL CATEGORY OF CAUCHY SPACES.ACTA MATHEMATICA HUNGARICA. VOL. 136. ISSUE 1-2. P. 1-15 13 87% 0
10 CLEMENTINO, MM , HOFMANN, D , (2012) DESCENT MORPHISMS AND A VAN KAMPEN THEOREM IN CATEGORIES OF LAX ALGEBRAS.TOPOLOGY AND ITS APPLICATIONS. VOL. 159. ISSUE 9. P. 2310-2319 12 92% 0

Classes with closest relation at Level 1



Rank Class id link
1 8019 THEORY AND APPLICATIONS OF CATEGORIES//CROSSED MODULE//SEMI ABELIAN CATEGORY
2 19469 DITOPOLOGY//QUASI UNIFORMITY//TEXTURE SPACE
3 37103 PARTIAL ENUMERATED SET//ACCEPTABLE NUMERATION//CONSTRUCTIVE FUNCTOR
4 7127 FUZZY TOPOLOGY//FUZZY SETS AND SYSTEMS//L TOPOLOGY
5 9981 TOPOLOGICAL GROUP//PARATOPOLOGICAL GROUP//SEMITOPOLOGICAL GROUP
6 12925 LOCALE//F RING//BIFRAME
7 21198 LAWSON COMPACT//SCOTT TOPOLOGY//CONTINUOUS POSET
8 12316 CONSTRUCTIVE MATHEMATICS//FORMAL TOPOLOGY//CONSTRUCTIVE
9 17598 COALGEBRA//CHAIR SOFTWARE TECHNOL//FINAL COALGEBRA
10 23145 S POSET//S ACT//POMONOID

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