Jiří Rosický

Department of Mathematics and Statistics
Masaryk University
Brno 60000
Czech Republic
E-mail:
rosicky@math.muni.cz
Telephone:
(4205)49496758
Fax:
(4205)49491421

Research
Teaching

Research


Recently published papers

Algebras over variable theories, Alg. Univ. 47 (2002), 55-64, with D.B.Benson and M. Necesal

On abstract data types presented by multiequations, Theor. Comp. Sci. 275 (2002), 427-462 , with J.Adámek and M.Hébert

Flat covers and factorizations, J. of Algebra, 253 (2002), 1-13

On a generalized small-object argument for the injective subcategory problem, Cahiers Top. Geom. Diff. Cat. XLIII (2002), 83-106, with J. Adámek, H. Herrlich and W.Tholen

Weak factorization systems and topological functors, Appl. Cat. Str. 10 (2002), 237-249, with J. Adámek, H. Herrlich and W.Tholen

Injectivity and accessible categories, Cubo Matem. Educ. 4 (2002), 201-211

Modal predicates and coequations, Electronic Notes in Theor. Comp. Sci. 65, 1 (2002), with A.Kurz

Classification of accessible categories, J. Pure Appl. Alg. 175 (2002), 7-30 with J. Adámek, F. Borceux and S. Lack

Injective hulls are not natural, Alg. Univ. 48 (2002), 379-388 with J.Adámek, H.Herrlich and W.Tholen

More on injectivity in locally presentable categories, Th. Appl. Categ. 10 (2002), 148-161 with J.Adámek and F.Borceux

On the duality between varieties and algebraic theories, Alg. Univ. 49 (2003), 35-49, with J.Adámek and F.W.Lawvere

Continuous categories revisited, Th. Appl. Categ. 11 (2003), 252-282 with J.Adámek and F.W.Lawvere

Left-determined model categories and universal homotopy theories, Trans. Amer. Math. Soc. 355 (2003), 3611-3623 with W.Tholen

On pure subobjects and pure quotients, Czech. Math. Jour. 54 (2004), 623-636 with J.Adámek

On projectivity in locally presentable categories, J. Alg. 272 (2004), 701-710

Toward a characterization of algebraic exactness, J. Alg. 272 (2004), 730-738 with J.Adámek

A characterization of locally D-presentable categories, Cah. Top. Geom. Diff. Cat. XLV (2004), 141-146 with C.Centazzo and E.M.Vitale

On von Neumann varieties, Th. Appl. Cat. 13 (2004), 5-26 with F.Borceux

Semi-abelian monadic categories, Th. Appl. Cat. 13 (2004), 106-113 with M.Gran

Special reflexive graphs in modular varieties, Alg. Univ. 52 (2004), 89-102 with M.Gran

When is flatness coherent?, Comm. in Alg. 33 (2005), 1903-1912 with T.Beke and P.Karazeris

Weak factorization systems, fractions and homotopies, Appl. Cat. Struct. 13 (2005), 141-160 with A.Kurz

Pure morphisms in pro-categories, J. Pure Appl. Alg. 207 (2006), 19-35 with J.Adámek

Purity in algebra, with F.Borceux, Alg. Univ. 56 (2007), 17-35

Factorizations, fibrations and torsion, J. Homot. Relat. Struct. 2 (2007). 295-314 with W. Tholen

A convenient category for directed homotopy, with L. Fajstrup, Th. Appl. Cat. 21 (2008), 7-20

Mal'cev conditions revisited, with D. Bourn, Appl. Cat. Str. 16 (2008), 723-733

On combinatorial model categories, Appl. Cat. Str. 17 (2009), 303-316

Are all cofibrantly generated model categories combinatorial?, Cah. Top. Geom. Diff. Cat. 50 (2009), 233-238

What are sifted colimits?, Th. Appl. Cat. 23 (2010), 251-260, with J.Adámek and E. M. Vitale

Notions of Lawvere theory, Appl. Categ. Struct. 19 (2011), 363-391, with S. Lack, arXiv:0810.2578

Enriched weakness, J. Pure Appl. Alg. 216 (2012), 1807-1822, arXiv:1009.1678, with S. Lack

Abstract elementary classes and accessible categories, Annals Pure Appl. Logic 163 (2012), 2008-2017, with T. Beke

Birkhoff's variety theorem in many sorts, Alg. Univ. 68 (2012), 39-42, with J.Adámek and E. M. Vitale

Locally class-presentable and class-accessible categories, J. Pure Appl. Alg. 216 (2012), 2113-2125, with B. Chorny, arXiv:1110.0605

Class-combinatorial model categories, Homology Homotopy Appl. 14 (2012), 263-280, with B. Chorny, arXiv:1110.4252

Strongly complete logics for coalgebras, Log. Met. Comp. Sci. 8 (2012), 1-32, with A. Kurz, arXiv:1207.2732

Colimits of accessible categories, with R. Paré, Math. Proc. Cambr. Phil. Soc. 155 (2013), 47-50, arXiv:1110.0767

To appear shortly

Are all localizing subcategories of stable homotopy categories coreflective?, with C. Casacuberta and J. J. Gutiérrez, arXiv:1106.2218

Definable orthogonality classes in accessible categories are small, with J. Bagaria, C. Casacuberta and A. R. D. Matthias, arXiv:1101.2792

Rigidification of algebras over essentially algebraic theories, arXiv:1206.0422

A generalization of Ohkawa's theorem, with C. Casacuberta and J. J. Gutiérrez, arXiv:1203.6395

Papers submitted for publication

On a fat small object argument, with M. Makkai and L. Vokrinek, arXiv:1304.6974

Cellular categories, with M. Makkai, arXiv:1304.7572

Others

Generalized Brown representability in homotopy categories, corrected version of Theory Appl. Categ. 14 (2005), 451-479

On homotopy varieties, corrected version of Adv. Math. 214 (2007), 525-550

Talks

Class-combinatorial model categories, Calais 2008

Homotopy accessible categories, Brussels 2008

Phantom accessible triangulated categories, Paderborn 2009

Facets of accessibility, Durham 2009

Generalized purity, definability and Brown representability, Praha 2009

Enriched weakness, Genova 2010

Accessible categories and inaccessible cardinals, Barcelona 2011

Combinatorial categories, Coimbra 2012

Good colimits, weak factorization systems and model categories, Murcia 2013

Přednášky

Matematická logika

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Teorie množin

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Diskrétní matematika

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