# zbMATH — the first resource for mathematics

## Bonnet, Robert

Compute Distance To:
 Author ID: bonnet.robert Published as: Bonnet, R.; Bonnet, Robert Homepage: https://www.lama.univ-savoie.fr/pagesmembres/bonnet/ External Links: MGP · dblp
 Documents Indexed: 42 Publications since 1969
all top 5

#### Co-Authors

 11 single-authored 13 Rubin, Matatyahu 6 Abraham, Uri 4 Kubiś, Wiesław 3 Bekkali, Mohamed 3 Pouzet, Maurice 2 Leiderman, Arkady G. 2 Shelah, Saharon 1 Banakh, Taras Onufrievich 1 Corominas, Ernest 1 Cummings, James 1 Duffus, Dwight 1 Džamonja, Mirna 1 Erdős, Pál 1 Faouzi, Latifa 1 Hasson, Assaf 1 Si-Kaddour, Hamza 1 Thompson, Katherine 1 Woodrow, Robert E.
all top 5

#### Serials

 5 Topology and its Applications 5 Order 4 Israel Journal of Mathematics 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Discrete Mathematics 2 Algebra Universalis 2 The Journal of Symbolic Logic 2 Annals of Pure and Applied Logic 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Fundamenta Mathematicae 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Archive for Mathematical Logic 1 The Bulletin of Symbolic Logic 1 Publications du Département de Mathématiques 1 Topological Algebra and its Applications
all top 5

#### Fields

 32 Order, lattices, ordered algebraic structures (06-XX) 23 Mathematical logic and foundations (03-XX) 14 General topology (54-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 121 times in 90 Documents Cited by Year
Extension et stratification d’ensembles disperses. Zbl 0188.04203
Bonnet, R.; Pouzet, M.
1969
Very strongly rigid Boolean algebras, continuum discrete set condition, countable antichain condition. I. Zbl 0467.06008
Bonnet, R.
1980
Linear extensions of ordered sets. Zbl 0499.06002
Bonnet, R.; Pouzet, M.
1982
Narrow Boolean algebras. Zbl 0563.03035
Bonnet, Robert; Shelah, Saharon
1985
On well-generated Boolean algebras. Zbl 0968.06012
Bonnet, Robert; Rubin, Matatyahu
2000
On poset Boolean algebras. Zbl 1050.06007
Abraham, Uri; Bonnet, Robert; Kubiś, Wiesław; Rubin, Matatyahu
2003
Hausdorff’s theorem for posets that satisfy the finite antichain property. Zbl 0934.06005
Abraham, Uri; Bonnet, Robert
1999
On HCO spaces. An uncountable compact $$T_ 2$$ space, different from $$\aleph_ 1+1$$, which is homeomorphic to each of its uncountable closed subspaces. Zbl 0796.54041
Bonnet, Robert; Shelah, Saharon
1993
Stratifications et extensions des genres de chaînes dénombrables. Zbl 0206.28001
Bonnet, R.
1969
On the cardinality of the set of initial intervals of a partially ordered set. Zbl 0321.06003
Bonnet, R.
1975
Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II. Zbl 0782.54031
Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu
1992
Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I. Zbl 0761.54019
Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu
1992
On a poset algebra which is hereditarily but not canonically well generated. Zbl 1045.06006
Rubin, Matatyahu; Bonnet, Robert
2003
On essentially low, canonically well-generated Boolean algebras. Zbl 1010.06011
Bonnet, Robert; Rubin, Matatyahu
2002
On a superatomic Boolean algebra which is not generated by a well-founded sublattice. Zbl 0982.06012
Abraham, Uri; Rubin, Matatyahu; Bonnet, Robert
2001
Every superatomic subalgebra of an interval algebra is embeddable in an ordinal algebra. Zbl 0758.06011
Abraham, Uri; Bonnet, Robert
1992
Countable successor ordinals as generalized ordered topological spaces. Zbl 06894003
2018
A scattering of orders. Zbl 1297.06004
Abraham, Uri; Bonnet, Robert; Cummings, James; Džamonja, Mirna; Thompson, Katherine
2012
A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras. Zbl 1229.54045
Bonnet, Robert; Rubin, Matatyahu
2011
Poset algebras over well quasi-ordered posets. Zbl 1151.06001
Abraham, Uri; Bonnet, Robert; Kubiś, Wiesław
2008
A classification of CO spaces which are continuous images of compact ordered spaces. Zbl 1142.54012
Bonnet, Robert; Rubin, Matatyahu
2008
On superatomic Boolean algebras. Zbl 0846.03024
Bonnet, Robert
1993
Comparison of Boolean algebras. Zbl 0642.04003
1987
Problems in Boolean algebras. Zbl 0346.02032
Bonnet, R.
1976
Countable successor ordinals as generalized ordered topological spaces. Zbl 06894003
2018
A scattering of orders. Zbl 1297.06004
Abraham, Uri; Bonnet, Robert; Cummings, James; Džamonja, Mirna; Thompson, Katherine
2012
A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras. Zbl 1229.54045
Bonnet, Robert; Rubin, Matatyahu
2011
Poset algebras over well quasi-ordered posets. Zbl 1151.06001
Abraham, Uri; Bonnet, Robert; Kubiś, Wiesław
2008
A classification of CO spaces which are continuous images of compact ordered spaces. Zbl 1142.54012
Bonnet, Robert; Rubin, Matatyahu
2008
On poset Boolean algebras. Zbl 1050.06007
Abraham, Uri; Bonnet, Robert; Kubiś, Wiesław; Rubin, Matatyahu
2003
On a poset algebra which is hereditarily but not canonically well generated. Zbl 1045.06006
Rubin, Matatyahu; Bonnet, Robert
2003
On essentially low, canonically well-generated Boolean algebras. Zbl 1010.06011
Bonnet, Robert; Rubin, Matatyahu
2002
On a superatomic Boolean algebra which is not generated by a well-founded sublattice. Zbl 0982.06012
Abraham, Uri; Rubin, Matatyahu; Bonnet, Robert
2001
On well-generated Boolean algebras. Zbl 0968.06012
Bonnet, Robert; Rubin, Matatyahu
2000
Hausdorff’s theorem for posets that satisfy the finite antichain property. Zbl 0934.06005
Abraham, Uri; Bonnet, Robert
1999
On HCO spaces. An uncountable compact $$T_ 2$$ space, different from $$\aleph_ 1+1$$, which is homeomorphic to each of its uncountable closed subspaces. Zbl 0796.54041
Bonnet, Robert; Shelah, Saharon
1993
On superatomic Boolean algebras. Zbl 0846.03024
Bonnet, Robert
1993
Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II. Zbl 0782.54031
Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu
1992
Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I. Zbl 0761.54019
Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu
1992
Every superatomic subalgebra of an interval algebra is embeddable in an ordinal algebra. Zbl 0758.06011
Abraham, Uri; Bonnet, Robert
1992
Comparison of Boolean algebras. Zbl 0642.04003
1987
Narrow Boolean algebras. Zbl 0563.03035
Bonnet, Robert; Shelah, Saharon
1985
Linear extensions of ordered sets. Zbl 0499.06002
Bonnet, R.; Pouzet, M.
1982
Very strongly rigid Boolean algebras, continuum discrete set condition, countable antichain condition. I. Zbl 0467.06008
Bonnet, R.
1980
Problems in Boolean algebras. Zbl 0346.02032
Bonnet, R.
1976
On the cardinality of the set of initial intervals of a partially ordered set. Zbl 0321.06003
Bonnet, R.
1975
Extension et stratification d’ensembles disperses. Zbl 0188.04203
Bonnet, R.; Pouzet, M.
1969
Stratifications et extensions des genres de chaînes dénombrables. Zbl 0206.28001
Bonnet, R.
1969
all top 5

#### Cited by 95 Authors

 16 Bonnet, Robert 14 Rubin, Matatyahu 10 Shelah, Saharon 8 Pouzet, Maurice 7 Pinus, Aleksandr Georgievich 4 Monk, James Donald 3 Abraham, Uri 3 Bekkali, Mohamed 3 Džamonja, Mirna 3 Morvan, Michel 3 Rampon, Jean-Xavier 3 Rival, Ivan 2 Delhommé, Christian 2 Duffus, Dwight 2 Faouzi, Latifa 2 Habib, Michel A. 2 Hirschfeldt, Denis Roman 2 Jard, Claude 2 Jourdan, Guy-Vincent 2 Kubiś, Wiesław 2 Milner, Eric Charles 2 Montalbán, Antonio 2 Nourine, Lhouari 2 Rinot, Assaf 2 Schmitz, Sylvain 2 Thompson, Katherine 2 Zaguia, Nejib 1 Adams, Michael E. 1 Alami, Mustapha 1 Assous, Roland 1 Baker, Kirby A. 1 Benyamini, Yoav 1 Berghammer, Rudolf 1 Bertet, Karell 1 Bice, Tristan Matthew 1 Bińczak, Grzegorz 1 Blondin, Michael 1 Campero-Arena, G. 1 Cancino, Johan 1 Chakir, Ilham 1 Combarro, Elías F. 1 Corrêa, Ricardo Cordeiro 1 Cummings, James 1 De Baets, Bernard 1 De Loof, Karel 1 De Meyer, Hans E. 1 Doignon, Jean-Paul 1 Dovgoshey, Oleksiy Alfredovich 1 Downey, Rodney Graham 1 Erné, Marcel 1 Falmagne, Jean-Claude 1 Fernández Bretón, David José 1 Finkel, Alain 1 Frittaion, Emanuele 1 Gustedt, Jens 1 Hart, Joan E. 1 Hrušák, Michael 1 Koppelberg, Sabine 1 Koszmider, Piotr B. 1 Koubek, Vaclav 1 Kunen, Kenneth 1 Lazić, Ranko 1 Leiderman, Arkady G. 1 Lempp, Steffen 1 Loats, James T. 1 Marcone, Alberto 1 Martínez-Legaz, Juan-Enrique 1 McKenzie, Pierre 1 Medina, Raoul 1 Mekler, Alan H. 1 Miranda Perea, Favio Ezequiel 1 Miranda, Pedro M. A. 1 Molto, Anibal 1 Norde, Henk 1 Oikkonen, Juha 1 Otto, Martin 1 Patrone, Fioravante 1 Pereira, Luís Santos 1 Prikry, Karel 1 Roitman, Judith 1 Romanowska, Anna B. 1 Rutkowski, Aleksander 1 Schnoebelen, Philippe 1 Shafir, Ofer 1 Si-Kaddour, Hamza 1 Sichler, Jiří Jan 1 Skilton, Donald Kenneth 1 Smith, Jonathan Dallas Hayden 1 Solomon, Reed 1 Steiner, George 1 Szwarcfiter, Jayme Luiz 1 Troyanski, Stanimir L. 1 van Douwen, Eric K. 1 Yang, Zhongqiang 1 Zhani, Driss
all top 5

#### Cited in 35 Serials

 12 Order 10 Israel Journal of Mathematics 7 Topology and its Applications 6 Discrete Mathematics 6 Algebra Universalis 5 Transactions of the American Mathematical Society 5 Annals of Pure and Applied Logic 3 Algebra and Logic 3 Siberian Mathematical Journal 3 Archive for Mathematical Logic 2 Discrete Applied Mathematics 2 The Journal of Symbolic Logic 2 Information and Computation 1 Acta Informatica 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Fundamenta Mathematicae 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 RAIRO. Informatique Théorique et Applications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Top 1 The Bulletin of Symbolic Logic 1 Annals of Mathematics and Artificial Intelligence 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Set-Valued and Variational Analysis
all top 5

#### Cited in 16 Fields

 56 Order, lattices, ordered algebraic structures (06-XX) 45 Mathematical logic and foundations (03-XX) 18 General topology (54-XX) 11 Computer science (68-XX) 10 General algebraic systems (08-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)