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Montalbán, Antonio

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Author ID: montalban.antonio Recent zbMATH articles by "Montalbán, Antonio"
Published as: Montalbán, Antonio; Montalban, Antonio; Montalbán, A.
External Links: MGP
Documents Indexed: 77 Publications since 2003, including 1 Book
Reviewing Activity: 16 Reviews

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 445 times in 288 Documents Cited by Year
The isomorphism problem for torsion-free abelian groups is analytic complete. Zbl 1156.03042
Downey, Rod; Montalbán, Antonio
31
2008
Open questions in reverse mathematics. Zbl 1233.03023
Montalbán, Antonio
30
2011
The complexity of computable categoricity. Zbl 1345.03063
Downey, Rodney G.; Kach, Asher M.; Lempp, Steffen; Lewis-Pye, Andrew E. M.; Montalbán, Antonio; Turetsky, Daniel D.
26
2015
Computable functors and effective interpretability. Zbl 1390.03034
Harrison-Trainor, Matthew; Melnikov, Alexander; Miller, Russell; Montalbán, Antonio
22
2017
The limits of determinacy in second-order arithmetic. Zbl 1245.03096
Montalbán, Antonio; Shore, Richard A.
17
2012
On the equimorphism types of linear orderings. Zbl 1129.03024
Montalbán, Antonio
15
2007
Isomorphism relations on computable structures. Zbl 1255.03040
Fokina, Ekaterina B.; Friedman, Sy-David; Harizanov, Valentina; Knight, Julia F.; McCoy, Charles; Montalbán, Antonio
14
2012
Subspaces of computable vector spaces. Zbl 1127.03036
Downey, Rodney G.; Hirschfeldt, Denis R.; Kach, Asher M.; Lempp, Steffen; Mileti, Joseph R.; Montalbán, Antonio
13
2007
The Veblen functions for computability theorists. Zbl 1220.03050
Marcone, Alberto; Montalbán, Antonio
13
2011
Computability theoretic classifications for classes of structures. Zbl 1373.03069
Montalbán, Antonio
13
2014
Indecomposable linear orderings and hyperarithmetic analysis. Zbl 1105.03061
Montalbán, Antonio
12
2006
Up to equimorphism, hyperarithmetic is recursive. Zbl 1089.03036
Montalbán, Antonio
12
2005
Independence in computable algebra. Zbl 1386.03051
Harrison-Trainor, Matthew; Melnikov, Alexander; Montalbán, Antonio
11
2015
Notes on the jump of a structure. Zbl 1268.03043
Montalbán, Antonio
10
2009
Relative to any non-hyperarithmetic set. Zbl 1308.03050
Greenberg, Noam; Montalbán, Antonio; Slaman, Theodore A.
10
2013
A computability theoretic equivalent to Vaught’s conjecture. Zbl 1345.03055
Montalbán, Antonio
10
2013
A robuster Scott rank. Zbl 1386.03053
Montalbán, Antonio
10
2015
Rice sequences of relations. Zbl 1329.03072
Montalbán, Antonio
9
2012
Equivalence between Fraïssé’s conjecture and Jullien’s theorem. Zbl 1094.03045
Montalbán, Antonio
9
2006
Computable linearizations of well-partial-orderings. Zbl 1124.03018
Montalbán, Antonio
8
2007
On the \(n\)-back-and-forth types of Boolean algebras. Zbl 1248.03067
Harris, Kenneth; Montalbán, Antonio
8
2012
Ranked structures and arithmetic transfinite recursion. Zbl 1135.03026
Greenberg, Noam; Montalbán, Antonio
8
2008
Boolean algebras, Tarski invariants, and index sets. Zbl 1107.03031
Csima, Barbara F.; Montalbán, Antonio; Shore, Richard A.
7
2006
On Fraïssé’s conjecture for linear orders of finite Hausdorff rank. Zbl 1184.03006
Marcone, Alberto; Montalbán, Antonio
7
2009
A computable \(\aleph_0\)-categorical structure whose theory computes true arithmetic. Zbl 1201.03020
Khoussainov, Bakhadyr; Montalbán, Antonio
6
2010
Cuts of linear orders. Zbl 1259.03055
Kach, Asher M.; Montalbán, Antonio
6
2011
Computability of Fraïssé limits. Zbl 1215.03053
Csima, Barbara F.; Harizanov, Valentina S.; Miller, Russell; Montalbán, Antonio
6
2011
Counting the back-and-forth types. Zbl 1268.03044
Montalbán, Antonio
5
2012
Borel structures: a brief survey. Zbl 1329.03073
Montalbán, Antonio; Nies, André
5
2013
A minimal pair of \(K\)-degrees. Zbl 1147.03025
Csima, Barbara F.; Montalbán, Antonio
5
2006
Computable Polish group actions. Zbl 06915708
Melnikov, Alexander; Montalbán, Antonio
5
2018
Computable structures in generic extensions. Zbl 1388.03042
Knight, Julia; Montalbán, Antonio; Schweber, Noah
5
2016
A cappable almost everywhere dominating computably enumerable degree. Zbl 1262.03062
Barmpalias, George; Montalbán, Antonio
4
2007
On the structure of the Wadge degrees of bqo-valued Borel functions. Zbl 07062701
Kihara, Takayuki; Montalbán, Antonio
4
2019
The uniform Martin’s conjecture for many-one degrees. Zbl 06958218
Kihara, Takayuki; Montalbán, Antonio
4
2018
On the \(\Pi _1^1\)-separation principle. Zbl 1155.03042
Montalbán, Antonio
4
2008
Embedding and coding below a 1-generic degree. Zbl 1066.03045
Greenberg, Noam; Montalbán, Antonio
4
2003
Generalized high degrees have the complementation property. Zbl 1086.03030
Greenberg, Noam; Montalbán, Antonio; Shore, Richard A.
4
2004
The Slaman-Wehner theorem in higher recursion theory. Zbl 1237.03020
Greenberg, Noam; Montalbán, Antonio; Slaman, Theodore A.
4
2011
The complements of lower cones of degrees and the degree spectra of structures. Zbl 1370.03060
Andrews, Uri; Cai, Mingzhong; Kalimullin, Iskander Sh.; Lempp, Steffen; Miller, Joseph S.; Montalbán, Antonio
4
2016
Priority arguments via true stages. Zbl 1353.03050
Montalbán, Antonio
4
2014
Borel functors and infinitary interpretations. Zbl 06997547
Harrison-Trainor, Matthew; Miller, Russell; Montalbán, Antonio
4
2018
Fraïssé’s conjecture in \(\prod_1^1\)-comprehension. Zbl 06815212
Montalbán, Antonio
3
2017
\(K\)-trivials are never continuously random. Zbl 1296.03022
Barmpalias, George; Greenberg, Noam; Montalbán, Antonio; Slaman, Theodore A.
3
2012
A fixed point for the jump operator on structures. Zbl 1305.03036
Montalbán, Antonio
3
2013
Extensions of embeddings below computably enumerable degrees. Zbl 1296.03021
Downey, Rod; Greenberg, Noam; Lewis, Andrew; Montalbán, Antonio
3
2013
A weakly 2-random set that is not generalized low. Zbl 1151.03343
Lewis, Andrew; Montalbán, Antonio; Nies, André
2
2007
Analytic equivalence relations satisfying hyperarithmetic-is-recursive. Zbl 1373.03083
Montalbán, Antonio
2
2015
Computing maximal chains. Zbl 1252.03105
Marcone, Alberto; Montalbán, Antonio; Shore, Richard A.
2
2012
Embedding jump upper semilattices into the Turing degrees. Zbl 1059.03038
Montalbán, Antonio
2
2003
Boolean algebra approximations. Zbl 1341.03057
Harris, Kenneth; Montalbán, Antonio
2
2014
The limits of determinacy in second order arithmetic: consistency and complexity strength. Zbl 1371.03096
Montalbán, Antonio; Shore, Richard A.
2
2014
Equimorphism invariants for scattered linear orderings. Zbl 1104.03040
Montalbán, Antonio
1
2006
Slender classes. Zbl 1145.03019
Downey, Rod; Montalbán, Antonio
1
2008
The strength of Turing determinacy within second order arithmetic. Zbl 1396.03112
Montalbán, Antonio; Shore, Richard A.
1
2016
Copyable structures. Zbl 1327.03037
Montalbán, Antonio
1
2013
On the inevitability of the consistency operator. Zbl 1456.03091
Montalbán, Antonio; Walsh, James
1
2019
Jump inversions of algebraic structures and \(\Sigma \)-definability. Zbl 07197304
Faizrahmanov, Marat; Kach, Asher; Kalimullin, Iskander; Montalbán, Antonio; Puzarenko, Vadim
1
2019
Punctual definability on structures. Zbl 07358547
Kalimullin, Iskander; Melnikov, Alexander; Montalban, Antonio
1
2021
Coding and definability in computable structures. Zbl 1455.03056
Montalbán, Antonio
1
2018
Jump inversions of algebraic structures and the \({\Sigma}\)-definability. Zbl 1451.03024
Kalimullin, I. Shs.; Kach, A.; Montalbán, A.; Puzarenko, V. G.; Faizrahmanov, M. Kh.
1
2018
There is no ordering on the classes in the generalized high/low hierarchies. Zbl 1099.03030
Montalbán, Antonio
1
2006
Effectively existentially-atomic structures. Zbl 06700062
Montalbán, Antonio
1
2017
Embeddings into the Turing degrees. Zbl 1187.03036
Montalbán, Antonio
1
2009
Undecidability of the theories of classes of structures. Zbl 1353.03048
Kach, Asher M.; Montalbán, Antonio
1
2014
Punctual definability on structures. Zbl 07358547
Kalimullin, Iskander; Melnikov, Alexander; Montalban, Antonio
1
2021
On the structure of the Wadge degrees of bqo-valued Borel functions. Zbl 07062701
Kihara, Takayuki; Montalbán, Antonio
4
2019
On the inevitability of the consistency operator. Zbl 1456.03091
Montalbán, Antonio; Walsh, James
1
2019
Jump inversions of algebraic structures and \(\Sigma \)-definability. Zbl 07197304
Faizrahmanov, Marat; Kach, Asher; Kalimullin, Iskander; Montalbán, Antonio; Puzarenko, Vadim
1
2019
Computable Polish group actions. Zbl 06915708
Melnikov, Alexander; Montalbán, Antonio
5
2018
The uniform Martin’s conjecture for many-one degrees. Zbl 06958218
Kihara, Takayuki; Montalbán, Antonio
4
2018
Borel functors and infinitary interpretations. Zbl 06997547
Harrison-Trainor, Matthew; Miller, Russell; Montalbán, Antonio
4
2018
Coding and definability in computable structures. Zbl 1455.03056
Montalbán, Antonio
1
2018
Jump inversions of algebraic structures and the \({\Sigma}\)-definability. Zbl 1451.03024
Kalimullin, I. Shs.; Kach, A.; Montalbán, A.; Puzarenko, V. G.; Faizrahmanov, M. Kh.
1
2018
Computable functors and effective interpretability. Zbl 1390.03034
Harrison-Trainor, Matthew; Melnikov, Alexander; Miller, Russell; Montalbán, Antonio
22
2017
Fraïssé’s conjecture in \(\prod_1^1\)-comprehension. Zbl 06815212
Montalbán, Antonio
3
2017
Effectively existentially-atomic structures. Zbl 06700062
Montalbán, Antonio
1
2017
Computable structures in generic extensions. Zbl 1388.03042
Knight, Julia; Montalbán, Antonio; Schweber, Noah
5
2016
The complements of lower cones of degrees and the degree spectra of structures. Zbl 1370.03060
Andrews, Uri; Cai, Mingzhong; Kalimullin, Iskander Sh.; Lempp, Steffen; Miller, Joseph S.; Montalbán, Antonio
4
2016
The strength of Turing determinacy within second order arithmetic. Zbl 1396.03112
Montalbán, Antonio; Shore, Richard A.
1
2016
The complexity of computable categoricity. Zbl 1345.03063
Downey, Rodney G.; Kach, Asher M.; Lempp, Steffen; Lewis-Pye, Andrew E. M.; Montalbán, Antonio; Turetsky, Daniel D.
26
2015
Independence in computable algebra. Zbl 1386.03051
Harrison-Trainor, Matthew; Melnikov, Alexander; Montalbán, Antonio
11
2015
A robuster Scott rank. Zbl 1386.03053
Montalbán, Antonio
10
2015
Analytic equivalence relations satisfying hyperarithmetic-is-recursive. Zbl 1373.03083
Montalbán, Antonio
2
2015
Computability theoretic classifications for classes of structures. Zbl 1373.03069
Montalbán, Antonio
13
2014
Priority arguments via true stages. Zbl 1353.03050
Montalbán, Antonio
4
2014
Boolean algebra approximations. Zbl 1341.03057
Harris, Kenneth; Montalbán, Antonio
2
2014
The limits of determinacy in second order arithmetic: consistency and complexity strength. Zbl 1371.03096
Montalbán, Antonio; Shore, Richard A.
2
2014
Undecidability of the theories of classes of structures. Zbl 1353.03048
Kach, Asher M.; Montalbán, Antonio
1
2014
Relative to any non-hyperarithmetic set. Zbl 1308.03050
Greenberg, Noam; Montalbán, Antonio; Slaman, Theodore A.
10
2013
A computability theoretic equivalent to Vaught’s conjecture. Zbl 1345.03055
Montalbán, Antonio
10
2013
Borel structures: a brief survey. Zbl 1329.03073
Montalbán, Antonio; Nies, André
5
2013
A fixed point for the jump operator on structures. Zbl 1305.03036
Montalbán, Antonio
3
2013
Extensions of embeddings below computably enumerable degrees. Zbl 1296.03021
Downey, Rod; Greenberg, Noam; Lewis, Andrew; Montalbán, Antonio
3
2013
Copyable structures. Zbl 1327.03037
Montalbán, Antonio
1
2013
The limits of determinacy in second-order arithmetic. Zbl 1245.03096
Montalbán, Antonio; Shore, Richard A.
17
2012
Isomorphism relations on computable structures. Zbl 1255.03040
Fokina, Ekaterina B.; Friedman, Sy-David; Harizanov, Valentina; Knight, Julia F.; McCoy, Charles; Montalbán, Antonio
14
2012
Rice sequences of relations. Zbl 1329.03072
Montalbán, Antonio
9
2012
On the \(n\)-back-and-forth types of Boolean algebras. Zbl 1248.03067
Harris, Kenneth; Montalbán, Antonio
8
2012
Counting the back-and-forth types. Zbl 1268.03044
Montalbán, Antonio
5
2012
\(K\)-trivials are never continuously random. Zbl 1296.03022
Barmpalias, George; Greenberg, Noam; Montalbán, Antonio; Slaman, Theodore A.
3
2012
Computing maximal chains. Zbl 1252.03105
Marcone, Alberto; Montalbán, Antonio; Shore, Richard A.
2
2012
Open questions in reverse mathematics. Zbl 1233.03023
Montalbán, Antonio
30
2011
The Veblen functions for computability theorists. Zbl 1220.03050
Marcone, Alberto; Montalbán, Antonio
13
2011
Cuts of linear orders. Zbl 1259.03055
Kach, Asher M.; Montalbán, Antonio
6
2011
Computability of Fraïssé limits. Zbl 1215.03053
Csima, Barbara F.; Harizanov, Valentina S.; Miller, Russell; Montalbán, Antonio
6
2011
The Slaman-Wehner theorem in higher recursion theory. Zbl 1237.03020
Greenberg, Noam; Montalbán, Antonio; Slaman, Theodore A.
4
2011
A computable \(\aleph_0\)-categorical structure whose theory computes true arithmetic. Zbl 1201.03020
Khoussainov, Bakhadyr; Montalbán, Antonio
6
2010
Notes on the jump of a structure. Zbl 1268.03043
Montalbán, Antonio
10
2009
On Fraïssé’s conjecture for linear orders of finite Hausdorff rank. Zbl 1184.03006
Marcone, Alberto; Montalbán, Antonio
7
2009
Embeddings into the Turing degrees. Zbl 1187.03036
Montalbán, Antonio
1
2009
The isomorphism problem for torsion-free abelian groups is analytic complete. Zbl 1156.03042
Downey, Rod; Montalbán, Antonio
31
2008
Ranked structures and arithmetic transfinite recursion. Zbl 1135.03026
Greenberg, Noam; Montalbán, Antonio
8
2008
On the \(\Pi _1^1\)-separation principle. Zbl 1155.03042
Montalbán, Antonio
4
2008
Slender classes. Zbl 1145.03019
Downey, Rod; Montalbán, Antonio
1
2008
On the equimorphism types of linear orderings. Zbl 1129.03024
Montalbán, Antonio
15
2007
Subspaces of computable vector spaces. Zbl 1127.03036
Downey, Rodney G.; Hirschfeldt, Denis R.; Kach, Asher M.; Lempp, Steffen; Mileti, Joseph R.; Montalbán, Antonio
13
2007
Computable linearizations of well-partial-orderings. Zbl 1124.03018
Montalbán, Antonio
8
2007
A cappable almost everywhere dominating computably enumerable degree. Zbl 1262.03062
Barmpalias, George; Montalbán, Antonio
4
2007
A weakly 2-random set that is not generalized low. Zbl 1151.03343
Lewis, Andrew; Montalbán, Antonio; Nies, André
2
2007
Indecomposable linear orderings and hyperarithmetic analysis. Zbl 1105.03061
Montalbán, Antonio
12
2006
Equivalence between Fraïssé’s conjecture and Jullien’s theorem. Zbl 1094.03045
Montalbán, Antonio
9
2006
Boolean algebras, Tarski invariants, and index sets. Zbl 1107.03031
Csima, Barbara F.; Montalbán, Antonio; Shore, Richard A.
7
2006
A minimal pair of \(K\)-degrees. Zbl 1147.03025
Csima, Barbara F.; Montalbán, Antonio
5
2006
Equimorphism invariants for scattered linear orderings. Zbl 1104.03040
Montalbán, Antonio
1
2006
There is no ordering on the classes in the generalized high/low hierarchies. Zbl 1099.03030
Montalbán, Antonio
1
2006
Up to equimorphism, hyperarithmetic is recursive. Zbl 1089.03036
Montalbán, Antonio
12
2005
Generalized high degrees have the complementation property. Zbl 1086.03030
Greenberg, Noam; Montalbán, Antonio; Shore, Richard A.
4
2004
Embedding and coding below a 1-generic degree. Zbl 1066.03045
Greenberg, Noam; Montalbán, Antonio
4
2003
Embedding jump upper semilattices into the Turing degrees. Zbl 1059.03038
Montalbán, Antonio
2
2003
all top 5

Cited by 202 Authors

38 Montalbán, Antonio
34 Melnikov, Alexander G.
23 Bazhenov, Nikolaĭ Alekseevich
21 Downey, Rodney Graham
16 Harrison-Trainor, Matthew
13 Kalimullin, Iskander Shagitovich
12 Fokina, Ekaterina B.
12 Ng, KengMeng
11 Greenberg, Noam
11 Knight, Julia F.
10 Shore, Richard A.
8 Barmpalias, George
8 Marcone, Alberto
7 Andrews, Uri
7 Miller, Russell G.
7 Patey, Ludovic
7 Sanders, Sam
7 Turetsky, Daniel D.
6 Conidis, Chris J.
6 Goncharov, Sergeĭ Savost’yanovich
6 San Mauro, Luca
6 Selivanov, Viktor L’vovich
5 Freund, Anton
5 Frolov, Andrey N.
5 Harizanov, Valentina S.
5 Kach, Asher M.
5 Lewis, Andrew E. M.
5 Rossegger, Dino
4 Carlucci, Lorenzo
4 Dzhafarov, Damir D.
4 Friedman, Sy-David
4 Hachtman, Sherwood
4 Kihara, Takayuki
4 Kudinov, Oleg Victorovich
4 Lempp, Steffen
4 Miller, Joseph S.
4 Puzarenko, Vadim G.
4 Sorbi, Andrea
3 Bienvenu, Laurent
3 Cai, Mingzhong
3 Faĭzrahmanov, Marat Khaidarovich
3 Korovina, Margarita Vladimirovna
3 Marchuk, Margaret I.
3 Morozov, Andreĭ Sergeevich
3 Nies, André Otfrid
3 Solomon, Reed
3 Stephan, Frank
3 Westrick, Linda Brown
3 Yamaleev, Mars Mansurovich
3 Zubkov, Maxim V.
2 Alvir, Rachael
2 Arai, Toshiyasu
2 Baldwin, John T.
2 Becker, Howard S.
2 Calderoni, Filippo
2 Carroy, Raphaël
2 Csima, Barbara F.
2 Diamondstone, David E.
2 Dimitrov, Rumen D.
2 Harris, Kenneth D. M.
2 Hirschfeldt, Denis Roman
2 Igusa, Gregory
2 Khoussainov, Bakhadyr M.
2 Kogabaev, Nurlan Talgatovich
2 Kołodziejczyk, Leszek Aleksander
2 Lange, Karen
2 Laskowski, Michael Chris
2 Monin, Benoît
2 Mummert, Carl
2 Mustafa, Manat
2 Neeman, Itay
2 Normann, Dag
2 Pauly, Arno M.
2 Quinn, Sara
2 Safranski, C.
2 Schweber, Noah David
2 Shafer, Paul
2 Simpson, Stephen G.
2 Soskova, Alexandra A.
2 Soskova, Mariya Ivanova
2 Törnquist, Asger
2 Turetsky, Dan
2 Vatev, Stefan V.
2 Wallbaum, John
2 Weiermann, Andreas
2 Wu, Huishan
2 Zdanowski, Konrad
1 Abramsky, Samson
1 Ackerman, Nathanael Leedom
1 Aguilera, Juan Pablo
1 Andersen, Brooke M.
1 Astor, Eric P.
1 Avdeev, R. R.
1 Baartse, Martijn
1 Badaev, Serikzhan A.
1 Bard, Vittorio
1 Boyadzhiyska, Simona
1 Brattka, Vasco
1 Brown, Tyler A.
1 Camerlo, Riccardo
...and 102 more Authors
all top 5

Cited in 42 Serials

37 The Journal of Symbolic Logic
25 Annals of Pure and Applied Logic
22 Proceedings of the American Mathematical Society
19 Archive for Mathematical Logic
16 Algebra and Logic
16 Transactions of the American Mathematical Society
14 Journal of Mathematical Logic
10 Israel Journal of Mathematics
9 Notre Dame Journal of Formal Logic
9 The Bulletin of Symbolic Logic
8 Siberian Mathematical Journal
8 Lobachevskii Journal of Mathematics
7 Advances in Mathematics
6 Theoretical Computer Science
6 Journal of Mathematical Sciences (New York)
5 Journal of Algebra
5 Mathematical Logic Quarterly (MLQ)
5 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Information and Computation
3 MSCS. Mathematical Structures in Computer Science
2 Fundamenta Mathematicae
2 Journal of Computer and System Sciences
2 Memoirs of the American Mathematical Society
2 Order
2 International Journal of Algebra and Computation
2 Theory of Computing Systems
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Logical Methods in Computer Science
2 Computability
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Studia Logica
1 Combinatorica
1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
1 Russian Mathematics
1 Selecta Mathematica. New Series
1 Doklady Mathematics
1 Matematicheskie Trudy
1 Oberwolfach Reports
1 The Review of Symbolic Logic
1 Forum of Mathematics, Sigma
1 Transactions of the London Mathematical Society
1 Bulletin of the Hellenic Mathematical Society

Citations by Year