# zbMATH — the first resource for mathematics

## Fountain, John Barringham

Compute Distance To:
 Author ID: fountain.john-b Published as: Fountain, John; Fountain, J. B.; Fountain, John B.; Fountain, J. External Links: MGP · Google Scholar · dblp
 Documents Indexed: 72 Publications since 1970, including 2 Books Biographic References: 1 Publication
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#### Co-Authors

 21 single-authored 19 Gould, Victoria A. R. 11 Gomes, Gracinda M. S. 4 El-Qallali, Abdulsalam 4 Petrich, Mario 2 Araújo, João 2 Bulman-Fleming, Sydney 2 Everitt, Brent 2 Kambites, Mark 2 Lewin, Andrew 2 Lockley, P. 1 André, Jorge M. 1 Phạm Ngọc Ánh 1 Batbedat, Andre 1 Branco, Mário J. J. 1 Fernandes, Vítor H. 1 Gomes Gracinda, M. S. 1 Hayes, Anthony 1 Lawson, Mark Verus 1 Márki, László 1 Meakin, John C. 1 Pin, Jean-Eric 1 Ramsay, Ronald William 1 Smith, Paula 1 Weil, Pascal 1 Williamson, John H.
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#### Serials

 9 Semigroup Forum 6 Communications in Algebra 6 Proceedings of the Edinburgh Mathematical Society. Series II 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Algebra 4 Proceedings of the London Mathematical Society. Third Series 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Mathematika 3 The Quarterly Journal of Mathematics. Oxford Second Series 2 Periodica Mathematica Hungarica 2 Glasgow Mathematical Journal 2 Monatshefte für Mathematik 2 Journal of the Australian Mathematical Society 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Algebra Universalis 1 Bulletin of the London Mathematical Society 1 Journal of Pure and Applied Algebra 1 Portugaliae Mathematica 1 The Quarterly Journal of Economics 1 International Journal of Algebra and Computation 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 NATO ASI Series. Series C. Mathematical and Physical Sciences
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#### Fields

 64 Group theory and generalizations (20-XX) 9 General algebraic systems (08-XX) 6 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

62 Publications have been cited 963 times in 450 Documents Cited by Year
Abundant semigroups. Zbl 0481.20036
Fountain, John
1982
Fountain, John
1979
Idempotent-connected abundant semigroups. Zbl 0501.20043
El-Qallali, A.; Fountain, J. B.
1981
Right PP monoids with central idempotents. Zbl 0353.20051
Fountain, John
1977
A class of right PP monoids. Zbl 0377.20051
Fountain, John
1977
Products of idempotent endomorphisms of an independence algebra of finite rank. Zbl 0794.20066
Fountain, John; Lewin, Andrew
1992
El-Qallali, A.; Fountain, J. B.
1981
The free ample monoid. Zbl 1192.20041
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria
2009
A Munn type representation for a class of $$E$$-semiadequate semigroups. Zbl 0940.20064
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria
1999
Completely 0-simple semigroups of quotients. Zbl 0589.20041
Fountain, John; Petrich, Mario
1986
Products of idempotent endomorphisms of an independence algebra of infinite rank. Zbl 0819.20070
Fountain, John; Lewin, Andrew
1993
Perfect semigroups. Zbl 0356.20060
Fountain, John
1976
Orders in rings without identity. Zbl 0719.16022
Fountain, John; Gould, Victoria
1990
Products of idempotent integer matrices. Zbl 0751.20049
Fountain, John
1991
Free right type A semigroups. Zbl 0737.20032
Fountain, John
1991
Completely right injective semigroups. Zbl 0286.20083
Fountain, J. B.
1974
Completely 0-simple semigroups of quotients. III. Zbl 0687.20056
Fountain, John; Petrich, Mario
1989
Orders in regular rings with minimal condition for principal right ideals. Zbl 0726.16007
Fountain, John; Gould, Victoria
1991
Fundamental representations for classes of semigroups containing a band of idempotents. Zbl 1151.20046
El Qallali, Abdulsalam; Fountain, John; Gould, Victoria
2008
Connections between left adequate semigroups and gamma-semigroups. Zbl 0453.20051
Batbedat, A.; Fountain, J. B.
1981
Proper left type-$$A$$ monoids revisited. Zbl 0802.20051
Fountain, John; Gomes, Gracinda M. S.
1993
Straight left orders in rings. Zbl 0774.16003
Fountain, John; Gould, Victoria
1992
E-unitary dense covers of E-dense monoids. Zbl 0724.20040
Fountain, John
1990
Enlargements, semiabundancy and unipotent monoids. Zbl 0926.20039
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria
1999
Partial symmetry, reflection monoids and Coxeter groups. Zbl 1238.20073
Everitt, Brent; Fountain, John
2010
Semilattices of groups with distributive congruence lattice. Zbl 0392.20041
Fountain, J. B.; Lockley, P.
1977
The origins of independence algebras. Zbl 1189.08001
Araújo, João; Fountain, John
2004
The Szendrei expansion of a semigroup. Zbl 0721.20037
Fountain, John; Gomes, Gracinda M. S.
1990
Products of idempotent endomorphisms of relatively free algebras with weak exchange properties. Zbl 1132.20040
Fountain, John; Gould, Victoria
2007
Inverse semigroups with zero: Covers and their structure. Zbl 0949.20046
Bulman-Fleming, Sydney; Fountain, John; Gould, Victoria
1999
Proper covers for left ample semigroups. Zbl 1106.20044
El Qallali, Abdulsalaam; Fountain, John
2005
Graph products of right cancellative monoids. Zbl 1188.20071
Fountain, John; Kambites, Mark
2009
Partial mirror symmetry, lattice presentations and algebraic monoids. Zbl 1297.20068
Everitt, Brent; Fountain, John
2013
Functions of measures on compact groups. Zbl 0309.43010
Fountain, J. B.; Ramsay, R. W.; Williamson, J. H.
1976
Brandt semigroups of quotients. Zbl 0589.20042
Fountain, John; Petrich, Mario
1985
Endomorphisms of relatively free algebras with weak exchange properties. Zbl 1095.08004
Fountain, John; Gould, Victoria
2004
Orders in normal bands of groups. Zbl 0876.20038
Fountain, John; Petrich, Mario
1996
Covers for monoids. Zbl 1081.20069
Fountain, John; Pin, Jean-Eric; Weil, Pascal
2004
Relatively free algebras with weak exchange properties. Zbl 1041.08002
Fountain, John; Gould, Victoria
2003
Proper covers of ample monoids. Zbl 1107.20050
Fountain, John; Gomes, Gracinda M. S.
2006
Bands with distributive congruence lattice. Zbl 0424.20057
Fountain, J. B.; Lockley, P.
1979
Membership of $$\mathbf A\vee\mathbf G$$ for classes of finite weakly abundant semigroups. Zbl 1311.20057
Fountain, John; Gomes, Gracinda; Gould, Victoria
2009
Products of idempotent endomorphisms of free acts of infinite rank. Zbl 0888.20041
Bulman-Fleming, Sydney; Fountain, John
1997
Orders in semiprime rings with minimal condition for principal right ideals. Zbl 0774.16004
Fountain, John; Gould, Victoria
1992
The translational hull of an adequate semigroup. Zbl 0566.20044
Fountain, John; Lawson, Mark
1985
Free right h-adequate semigroups. Zbl 0657.20049
Fountain, John
1988
Hyperbolic groups and completely simple semigroups. Zbl 1189.20047
Fountain, John; Kambites, Mark
2004
Left proper $$E$$-dense monoids. Zbl 0774.20047
Fountain, John; Gomes, Gracinda M. S.
1992
Left idempotent bounded $$C$$-semigroups. Zbl 0797.20051
Fountain, John; Gould, Victoria
1993
Idempotent bounded C-semigroups. Zbl 0813.20068
Fountain, John; Gould, Victoria
1994
Completely 0-simple semigroups of quotients. II. Zbl 0574.20047
Fountain, John; Gould, Victoria
1985
The work of Douglas Munn and its legacy. Zbl 1195.01064
Fountain, John
2010
Finite abundant semigroups in which the idempotents form a subsemigroup. Zbl 1102.20039
Fountain, John; Gomes, Gracinda M. S.
2006
An introduction to covers for semigroups. Zbl 1031.20050
Fountain, John
2002
Maximal orders in completely 0-simple semigroups. Zbl 1006.20044
Fountain, John; Gould, Victoria
2002
The depth of the semigroup of balanced endomorphisms. Zbl 0811.20062
Fountain, John B.
1994
$$\langle E \rangle$$-dense monoids. Zbl 1039.20507
Fountain, John B.
1991
Left orders in completely $$0$$-simple semigroups. Zbl 0855.20048
Ánh, P. N.; Fountain, J.; Márki, L.
1996
Nilpotent semiprincipal rings. Zbl 0293.16010
Fountain, J. B.
1973
Primitive inverse congruences on categorical semigroups. Zbl 0952.20046
Fountain, John; Gomes, Gracinda M. S.
2000
Nilpotent principal ideal rings. Zbl 0191.04202
Fountain, J. B.
1970
Stability of the theory of existentially closed $$S$$-acts over a right coherent monoid $$S$$. Zbl 1179.20058
Fountain, John; Gould, Victoria
2008
Partial mirror symmetry, lattice presentations and algebraic monoids. Zbl 1297.20068
Everitt, Brent; Fountain, John
2013
Partial symmetry, reflection monoids and Coxeter groups. Zbl 1238.20073
Everitt, Brent; Fountain, John
2010
The work of Douglas Munn and its legacy. Zbl 1195.01064
Fountain, John
2010
The free ample monoid. Zbl 1192.20041
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria
2009
Graph products of right cancellative monoids. Zbl 1188.20071
Fountain, John; Kambites, Mark
2009
Membership of $$\mathbf A\vee\mathbf G$$ for classes of finite weakly abundant semigroups. Zbl 1311.20057
Fountain, John; Gomes, Gracinda; Gould, Victoria
2009
Fundamental representations for classes of semigroups containing a band of idempotents. Zbl 1151.20046
El Qallali, Abdulsalam; Fountain, John; Gould, Victoria
2008
Stability of the theory of existentially closed $$S$$-acts over a right coherent monoid $$S$$. Zbl 1179.20058
Fountain, John; Gould, Victoria
2008
Products of idempotent endomorphisms of relatively free algebras with weak exchange properties. Zbl 1132.20040
Fountain, John; Gould, Victoria
2007
Proper covers of ample monoids. Zbl 1107.20050
Fountain, John; Gomes, Gracinda M. S.
2006
Finite abundant semigroups in which the idempotents form a subsemigroup. Zbl 1102.20039
Fountain, John; Gomes, Gracinda M. S.
2006
Proper covers for left ample semigroups. Zbl 1106.20044
El Qallali, Abdulsalaam; Fountain, John
2005
The origins of independence algebras. Zbl 1189.08001
Araújo, João; Fountain, John
2004
Endomorphisms of relatively free algebras with weak exchange properties. Zbl 1095.08004
Fountain, John; Gould, Victoria
2004
Covers for monoids. Zbl 1081.20069
Fountain, John; Pin, Jean-Eric; Weil, Pascal
2004
Hyperbolic groups and completely simple semigroups. Zbl 1189.20047
Fountain, John; Kambites, Mark
2004
Relatively free algebras with weak exchange properties. Zbl 1041.08002
Fountain, John; Gould, Victoria
2003
An introduction to covers for semigroups. Zbl 1031.20050
Fountain, John
2002
Maximal orders in completely 0-simple semigroups. Zbl 1006.20044
Fountain, John; Gould, Victoria
2002
Primitive inverse congruences on categorical semigroups. Zbl 0952.20046
Fountain, John; Gomes, Gracinda M. S.
2000
A Munn type representation for a class of $$E$$-semiadequate semigroups. Zbl 0940.20064
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria
1999
Enlargements, semiabundancy and unipotent monoids. Zbl 0926.20039
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria
1999
Inverse semigroups with zero: Covers and their structure. Zbl 0949.20046
Bulman-Fleming, Sydney; Fountain, John; Gould, Victoria
1999
Products of idempotent endomorphisms of free acts of infinite rank. Zbl 0888.20041
Bulman-Fleming, Sydney; Fountain, John
1997
Orders in normal bands of groups. Zbl 0876.20038
Fountain, John; Petrich, Mario
1996
Left orders in completely $$0$$-simple semigroups. Zbl 0855.20048
Ánh, P. N.; Fountain, J.; Márki, L.
1996
Idempotent bounded C-semigroups. Zbl 0813.20068
Fountain, John; Gould, Victoria
1994
The depth of the semigroup of balanced endomorphisms. Zbl 0811.20062
Fountain, John B.
1994
Products of idempotent endomorphisms of an independence algebra of infinite rank. Zbl 0819.20070
Fountain, John; Lewin, Andrew
1993
Proper left type-$$A$$ monoids revisited. Zbl 0802.20051
Fountain, John; Gomes, Gracinda M. S.
1993
Left idempotent bounded $$C$$-semigroups. Zbl 0797.20051
Fountain, John; Gould, Victoria
1993
Products of idempotent endomorphisms of an independence algebra of finite rank. Zbl 0794.20066
Fountain, John; Lewin, Andrew
1992
Straight left orders in rings. Zbl 0774.16003
Fountain, John; Gould, Victoria
1992
Orders in semiprime rings with minimal condition for principal right ideals. Zbl 0774.16004
Fountain, John; Gould, Victoria
1992
Left proper $$E$$-dense monoids. Zbl 0774.20047
Fountain, John; Gomes, Gracinda M. S.
1992
Products of idempotent integer matrices. Zbl 0751.20049
Fountain, John
1991
Free right type A semigroups. Zbl 0737.20032
Fountain, John
1991
Orders in regular rings with minimal condition for principal right ideals. Zbl 0726.16007
Fountain, John; Gould, Victoria
1991
$$\langle E \rangle$$-dense monoids. Zbl 1039.20507
Fountain, John B.
1991
Orders in rings without identity. Zbl 0719.16022
Fountain, John; Gould, Victoria
1990
E-unitary dense covers of E-dense monoids. Zbl 0724.20040
Fountain, John
1990
The Szendrei expansion of a semigroup. Zbl 0721.20037
Fountain, John; Gomes, Gracinda M. S.
1990
Completely 0-simple semigroups of quotients. III. Zbl 0687.20056
Fountain, John; Petrich, Mario
1989
Free right h-adequate semigroups. Zbl 0657.20049
Fountain, John
1988
Completely 0-simple semigroups of quotients. Zbl 0589.20041
Fountain, John; Petrich, Mario
1986
Brandt semigroups of quotients. Zbl 0589.20042
Fountain, John; Petrich, Mario
1985
The translational hull of an adequate semigroup. Zbl 0566.20044
Fountain, John; Lawson, Mark
1985
Completely 0-simple semigroups of quotients. II. Zbl 0574.20047
Fountain, John; Gould, Victoria
1985
Abundant semigroups. Zbl 0481.20036
Fountain, John
1982
Idempotent-connected abundant semigroups. Zbl 0501.20043
El-Qallali, A.; Fountain, J. B.
1981
El-Qallali, A.; Fountain, J. B.
1981
Connections between left adequate semigroups and gamma-semigroups. Zbl 0453.20051
Batbedat, A.; Fountain, J. B.
1981
Fountain, John
1979
Bands with distributive congruence lattice. Zbl 0424.20057
Fountain, J. B.; Lockley, P.
1979
Right PP monoids with central idempotents. Zbl 0353.20051
Fountain, John
1977
A class of right PP monoids. Zbl 0377.20051
Fountain, John
1977
Semilattices of groups with distributive congruence lattice. Zbl 0392.20041
Fountain, J. B.; Lockley, P.
1977
Perfect semigroups. Zbl 0356.20060
Fountain, John
1976
Functions of measures on compact groups. Zbl 0309.43010
Fountain, J. B.; Ramsay, R. W.; Williamson, J. H.
1976
Completely right injective semigroups. Zbl 0286.20083
Fountain, J. B.
1974
Nilpotent semiprincipal rings. Zbl 0293.16010
Fountain, J. B.
1973
Nilpotent principal ideal rings. Zbl 0191.04202
Fountain, J. B.
1970
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#### Cited by 308 Authors

 58 Gould, Victoria A. R. 38 Shum, Kar-Ping 36 Guo, Xiaojiang 35 Fountain, John Barringham 25 Gomes, Gracinda M. S. 18 Araújo, João 18 Petrich, Mario 13 East, James 12 Ren, Xueming 11 El-Qallali, Abdulsalam 10 Guo, Yuqi 10 Lawson, Mark Verus 10 Luo, Yan Feng 9 Bulman-Fleming, Sydney 9 Jackson, Marcel G. 8 Dolinka, Igor 8 Stokes, Timothy E. 8 Szendrei, Mária B. 8 Wang, Shoufeng 7 Jones, Peter R. 7 Knauer, Ulrich 7 Renshaw, James H. 7 Wang, Yanhui 6 Hollings, Christopher David 6 Kilp, Mati 6 Okniński, Jan 6 Wang, Limin 6 Yang, Dandan 5 Phạm Ngọc Ánh 5 Branco, Mário J. J. 5 Cameron, Peter Jephson 5 Guo, Junying 5 Kambites, Mark 5 Konieczny, Janusz 5 Márki, László 5 Ni, Xiangfei 5 Siles Molina, Mercedes 5 Steinberg, Benjamin 5 Sun, Lei 5 Umar, Abdullahi 4 Fernández López, Antonio 4 Goméz Lozano, Miguel Ángel 4 Gray, Robert D. 4 Hartmann, Miklós 4 He, Yong 4 Li, Chunhua 4 Liu, Zhong-kui 4 Stepanova, Alena Andreevna 4 Zanardo, Paolo 4 Zhao, Ping 3 Al-Bar, Jehan A. 3 Asibong-Ibe, U. 3 Auinger, Karl 3 Bailey, Alex 3 Bentz, Wolfram 3 Cossu, Laura 3 Dandan, Yang 3 Ershad, Majid 3 García Rus, Eulalia 3 Gong, Chunmei 3 Howie, John Mackintosh 3 Hu, Huabi 3 Jespers, Eric 3 Ji, Yingdan 3 Kudryavtseva, Ganna 3 Laan, Valdis 3 Leroy, André Gérard 3 Mary, Xavier 3 Sedaghatjoo, Mojtaba 3 Yang, Haobo 3 Yang, Xiuliang 3 You, Taijie 2 Alahmadi, Adel N. 2 André, Jorge M. 2 Antonippillai, Anne 2 Batbedat, Andre 2 Bogdanović, Stojan M. 2 Boidol, Joachim 2 Cain, Alan J. 2 Chao, Haizhou 2 Ćirić, Miroslav D. 2 Dokuchaev, Mikhailo 2 Duan, Bing 2 Easdown, David 2 Everitt, Brent 2 Hayes, Anthony 2 Higgins, Peter Michael 2 Hirsch, Robin 2 Huang, Huawei 2 Jain, Surender Kumar 2 Khosravi, Roghaieh 2 Kinyon, Michael K. 2 Kong, Xiangjun 2 Kong, Xiangzhi 2 Leptin, Horst 2 Li, Boyu 2 Margolis, Stuart W. 2 McDowell, Kenneth P. 2 Mikhalëv, Aleksandr Vasil’evich 2 Mikulás, Szabolcs ...and 208 more Authors
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#### Cited in 72 Serials

 95 Semigroup Forum 73 Communications in Algebra 40 Journal of Algebra 18 International Journal of Algebra and Computation 12 Glasgow Mathematical Journal 12 Journal of Pure and Applied Algebra 12 Proceedings of the Edinburgh Mathematical Society. Series II 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Mathematika 9 Algebra Colloquium 9 Journal of Algebra and its Applications 8 Asian-European Journal of Mathematics 7 Periodica Mathematica Hungarica 7 Acta Mathematica Hungarica 7 Acta Mathematica Sinica. English Series 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Mathematica Slovaca 5 Journal of the Australian Mathematical Society 5 Open Mathematics 4 Advances in Mathematics 4 Algebra Universalis 4 Monatshefte für Mathematik 4 Linear Algebra and its Applications 4 European Journal of Pure and Applied Mathematics 3 Bulletin of the Australian Mathematical Society 3 Journal of Functional Analysis 3 Science in China. Series A 3 Journal of Mathematical Sciences (New York) 3 Journal of Logical and Algebraic Methods in Programming 2 Indian Journal of Pure & Applied Mathematics 2 Algebra and Logic 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 MSCS. Mathematical Structures in Computer Science 2 Turkish Journal of Mathematics 2 Groups, Geometry, and Dynamics 2 Science China. Mathematics 1 Archive for History of Exact Sciences 1 Linear and Multilinear Algebra 1 Chaos, Solitons and Fractals 1 Compositio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the Iranian Mathematical Society 1 Order 1 Graphs and Combinatorics 1 Information and Computation 1 Expositiones Mathematicae 1 Chinese Science Bulletin 1 Vietnam Journal of Mathematics 1 Algebras and Representation Theory 1 Discrete Dynamics in Nature and Society 1 Portugaliae Mathematica. Nova Série 1 Frontiers of Mathematics in China 1 São Paulo Journal of Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Communications in Mathematics and Statistics 1 Algebra 1 Categories and General Algebraic Structures with Applications
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#### Cited in 25 Fields

 401 Group theory and generalizations (20-XX) 56 General algebraic systems (08-XX) 49 Associative rings and algebras (16-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Combinatorics (05-XX) 15 Category theory; homological algebra (18-XX) 13 Mathematical logic and foundations (03-XX) 11 Computer science (68-XX) 9 Functional analysis (46-XX) 8 Commutative algebra (13-XX) 8 Nonassociative rings and algebras (17-XX) 7 Topological groups, Lie groups (22-XX) 6 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 3 Number theory (11-XX) 3 Operator theory (47-XX) 2 Algebraic geometry (14-XX) 2 Convex and discrete geometry (52-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)