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           Fakulteta za matematiko in fiziko

Jadranska 19 · 1000 Ljubljana · Slovenija

Petar Pavešić

 

Research interests

 

· Homotopy theory: self-homotopy equivalences, classification of fibrations

· Category theory and homological algebra

· Ring Theory: theory of idempotents, semi-perfect rings

 

Publications

 

Strongly indecomposable H-spaces

(with Damir Franetič)

 

Formal aspects of topological complexity, to appear in  Proc. Ukr. Math. Soc.

 

Spaces with high topological complexity, to appear in Proc. R. Soc. Edinb., Sect. A, Math.

(with Aleksandra Franc)

 

Lower bounds for topological complexity, Topol. Appl., 160 (2013) 991-1004.

(with Aleksandra Franc)

 

H-spaces, semi-perfect rings and self-homotopy equivalences  Proc. R. Soc. Edinb., Sect. A, Math., 141 (2011) 1263-1277.

(with Damir Franetič)

 

A note on trivial fibrations  Glas. mat., 46 (2011) 513-519.

 

Stable self-homotopy equivalencesTopol. Appl., 157 (2010) 2757-2767.

 

Induced liftings, exchange rings and semi-perfect algebras, J. pure appl. algebra, 214 (2010) 1901-1906.

 

Decomposition of groups of invertible elements in a ring Proc. R. Soc. Edinb., Sect. A, Math., 139 (2009) 1275-1287.

 

Endomorphism rings of  p-local finite spectra are semi-perfect  Proc. R. Soc. Edinb., Sect. A, Math., 139 (2009) 567-574.

 

Reducibility of self-homotopy equivalences. Proc. R. Soc. Edinb., Sect. A, Math.,  137 (2007)  389-413.

 

A spectral sequence for the group of self-maps which induce indentity automorphisms of homology groups. Glas. mat., 42 (2007) 131-144.

 

On the group Aut # (X 1× ...× X n). Topol. appl. 153 (2005) 485-492.

 

On the group AutΩ(X). Proc. Edinb. Math. Soc.,  45 (2002) 673-680.

 

Factorization of units and groups of stable homotopy equivalences. J. pure appl. algebra. 172  (2002) 271-284.

 

Nilpotency and localization of groups of fibre homotopy equivalences, Contemporary mathematics, 274 ( 2001) 145-157.

(with Antonio Garvin, Aniceto Murillo, Antonio Viruel)

 

Gottlieb's theorem for F-fibrations. Topol. appl. 113 (2001) 243-247.

 

On self-maps which induce identity automorphisms of homology groups. Glasg. Math. J., 43 (2001) 177-184.

 

Self fibre homotopy equivalences of fibred products. Topol. appl. 102 (2000) 169-180.

 

Self-homotopy equivalences of product spaces. Proc. R. Soc. Edinb., Sect. A, Math., 129 (1999) 181-197.

 

On the classification of F-fibrations. Topol. appl., 87 (1998) 213-227.

(with Claudio Pacati and Renzo Piccinini)

 

Diagram cohomologies using categorical fibrations. J. pure appl. algebra. 112 (1996) 73-90.

 

The Dold-Lashof-Fuchs construction revisited. Rend. Semin. Mat. Fis. Milano, 65 (1995) 35-52.

(with Claudio Pacati and Renzo Piccinini)

 

A note on the classification of F-fibrations. Rend. Ist. Mat. Univ. Trieste, 25 (1993) 413-418.