2021

Generating the inverse limit of free groups (with G. Conner, C. Kent, W. Herfort), Journal of algebra, 578 (2021), 371-401.

Topological complexity of real Grassmannians. Proceedings Roy. Soc. Edinbourgh. Section A, Mathematics, (2021), 1-17.

Uncountable groups and the geometry of inverse limits of coverings (with G. Conner, C. Kent, W. Herfort), Topology and its Applications, (2021).

2020

Geometry of compact lifting spaces (with G. Conner, W. Herfort), Monatshefte für Mathematik 193 (2020), 591-603.

How many simplices are needed to triangulate a Grassmannian? (with D. Govc, W. Marzantowicz), Topological Methods in Nonlinear Analysis, 56 (2020), 501-518.

Monotonicity of the Schwarz genus, Proceedings of the American Mathematical Society, 158 (2020),  1339-1349.

Estimates of covering type and the number of vertices of minimal triangulations (with D. Govc, W. Marzantowicz), Discrete & computational geometry, 63 (2020), 31-48.

How many simplices are needed to triangulate a Grassmannian? (with D. Govc, W. Marzantowicz), preprint.

2019

Geometry of compact lifting spaces, (with G. Conner, W. Herfort), preprint.

General theory of lifting spaces, (with G. Conner), preprint.

Topological complexity of a map, Homology, homotopy, and applications, 21 (2019), 107-130. 

Triangulations with few vertices of manifolds with non-free fundamental group, Proceedings of the Royal Society of Edinburgh, Section A, Mathematics, 149 (2019) 1453-1463.

How many simplices are needed to triangulate a Grassmannian?, Geometric Topology - Celebrating the Year of Mathematics in Poland, Warsaw, Sep. 8-14, 2019.

Topology and robotics : minicourse,  University of Milano - Bicocca, May 13-16, 2019.

A model of the Hawaiian Earring with countably many points, International topology seminar Ljubljana-Maribor-Zagreb, May 11, Maribor.

A T₀ model for the Hawaiian Earring, 2019 Arches Topology Conference,  West Hurricane, UT, April 24 - 27, 2019. 

Homotopy theory of finite spaces, Brigham Young University, April 17, Provo, USA.

2018

Recognizing the second derived subgroup of free groups, (with G. Conner, W. Herfort, C. Kent), J. Algebra 516 (2018), 396-400.

A recognition principle for combinatorial manifolds , "Geometric Aspects of Applied Topology" at the Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society, Wrocław, 17-20 September 2018.

Path components of lifting spaces, 25 Years of Topology Seminar in Split - Scientific Meeting, June 8-9, 2018 Split, Croatia.

How do we count components of a lifting space?, 2018 Arches Topology Conference, In honor of Katsuya Eda's career and contributions,  May 7 - 10, 2018,  Moab (UT, USA), 8. 5. 2018.

Triangulations with small links are combinatorial, Cannon Seminar, Department of Mathematics, BYU,  February 14, Provo USA.

Some anomalous examples of lifting spaces (with G. Conner, W. Herfort), Topol. Appl. 239 (2018) 234-243.

A Topologist's View of Kinematic Maps and Manipulation Complexity, Contemp. Math. 702 (2018) 61-83. 

2017

Minimal triangulations and good coverings, Mathematical Colloquium, Mathematical Institute of the Serbian Academy of Sciences and Arts, December 4, Beograd, Serbia.

Geometry of compact lifting spaces (with G. Conner, W. Herfort),  19th ÖMG Congress and Annual DMV Meeting, 11.9.-15.9., Salzburg, Austria.

Complexity of the forward kinematic map. Mechanism and Machine Theory 117 (2017) 230-243.

Topological complexity of fibrations and covering maps,  Applied Topology, June 25 - July 01, Będlewo, Poland.

Free topological groups and functorial fibrewise constructions. Geometric Topology and Geometry of Banach Spaces, Eilat, May 14 -19, Ben-Gurion University of the Negev.

A generalization of covering spaces, Wydział Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza w Poznaniu, March 1, Poznan, Poland.

Topological complexity of a fibration, Wydział Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza w Poznaniu, February 28, Poznan, Poland.

2016

Loop near-rings and unique decompositions of H-spaces, (with Damir Franetič) Algebraic and geometric topology 16 (2016) (3563-3580)

Manipulation complexity of spidery linkages, Cannon Seminar, Department of Mathematics, BYU,  September 21, Provo USA.

Introduction to navigation and manipulation complexity,  Department of Mathematics, BYU, September 19, Provo, USA,

Minicourse on fibrations and Postnikov decompositions, Department of Mathematics, BYU,  September 28 - October 7, Provo, USA.

Complexity of the forward kinematic map,  Mathematical Colloquium, Mathematical Institute of the Serbian Academy of Sciences and Arts, June 14, Beograd, Serbia.

Remarks on the topological complexity of a map. Mini-Workshop: Topological Complexity and Related Topics, February 28 - March 5, Oberwolfach, Germany. 

Topological complexity of kinematic maps, XXIst Oporto Meeting on Geometry, Topology and Physics, February 4 - 7, IST, Lisbon, Portugal

2015

Extension of functors to fibrewise pointed spaces,  Topol. Method Nonl. An. 45 (2015), 91-102.

Alcuni risultati recenti in robotica topologica, Universitá di Bologna, Facoltá di Scienze, Seminario di matematica Bologna, May 11, Bologna, Italy.

Universitá di Bologna, Facoltá di Scienze. Introduzione alla robotica topologica : minicourse : Bologna, May 11-14, 2015.

2014

Fibrations between mapping spaces, Topol. Appl. 178 (2014), 276–287.

Spaces with high topological complexity, (with Aleksandra Franc), Proc. Roy. Soc. Edinburgh 144 (2014), 761–773.

Incremental stability of persistence modules, Applied Algebraic Topology Workshop, Castro Urdiales, CIEM Spain, June 30 - July 4, Castro Urdiales, Spain.

An anomalous lifting space example,  BYU, Department of Mathematics.,  February 2014, Provo, USA,

Fibres of regular lifting spaces, BYU, Department of Mathematics. February 2014, Provo, USA.

2013

Formal aspects of topological complexity.  Brasilian-Polish Topology Workshop : Toruń, LIBARDI, Alice Kimie Miwa (ed.), Zbìrnik prac´ Ìnstitutu matematiki NAN Ukraïni (2013),  56-66.

Change-of-fibre for fibrewise-pointed spaces,  Applied Topology Bedlewo 2013, Bedlewo, Poland,

Fibrations and their classification, (with R. Piccinini) (Research and exposition in mathematics, vol. 33). Lemgo: Heldermann, cop. 2013. XIII, 158 pp.

Lower bounds for topological complexity (with Aleksandra Franc),  Topology and its Applications 160 (2013) 991-1004.

Change-of-fibre for fibrewise-pointed spaces, Universitá di Bologna, Facoltá di Scienze.   May 9, Bologna, Italy.

Rivestimenti : minicourse : Universitá di Bologna, Facoltá di Scienze.  May 5-11, 2013. Bologna, Italy.

Functorial constructions on fibrewise pointed spaces, Universitá degli studi di Milano-Biccocca, April 17, Milano, Italy.

Topologija i robotika, Matematički kolokvij  DMF, Sveučilište u Rijeci, January 31, Rijeka, Croatia.

2012

Osnovne sestavine kakovostnega pouka matematike, Nacionalna konferenca Poti do kakovostnega znanja naravoslovja in matematike, Brdo pri Kranju, December 11-12, Brdo pri Kranju, Slovenia.

Lower estimates for the topological complexity (with Aleksandra Franc), Croatian Mathematical Congress, June 18-21, 2012, University of Rijeka, Department of Mathematics, Rijeka, Croatia.

How to get where you want to go - a primer on topological robotics. Mathematical Colloquium, BYU, Department of Mathematics, Provo, USA.

Topological complexity vs. pointed topological complexity,  Cannon Seminar,  BYU, Department of Mathematics, October 4, Provo, USA.

On the Lusternik - Schnirelmann category approach to topological complexity, Brasilian-Polish Topology Workshop : Toruń, July 09-13, Warsaw: July 16-20, Torun, Poland.

2011

A note on trivial fibrations. Glasnik matematički 46 (2011), 513-519.

H-spaces, semiperfect rings and self-homotopy equivalences (with Damir Franetič), Proceedings of the Royal Society of Edinburgh, Section A, Mathematics, 141 (2011) 1263-1277.

Semiperfect rings and unique decompositions of coH-spaces, (with Damir Franetič),  Dubrovnik VII -- Geometric Topology, June 26 - July 3, Dubrovnik, Croatia.

Estimates of topological complexity (with Aleksandra Franc),  Dubrovnik VII -- Geometric Topology, June 26 - July 3, Dubrovnik, Croatia.

Fibrations with unique path lifting property (with Gregory Conner), Workshop on Topology of Wild Spaces and Fractals, July 4-8, Strobl, Austria.

2010

Jedinstvenost faktorizacija topoloških prostora, Matematički kolokvij, Sveučilište u Osijeku, December 9, Osijek, Croatia.

Induced liftings, exchange rings and semi-perfect algebras. Journal of Pure and Applied Algebra 214 (2010), 1901-1906.

Inverse limits of covering spaces, BYU, November 7, Provo, USA.

Stable self-homotopy equivalences. Topology and its applications 157 (2010) 2757-2767.

Universal coverings for metric compacta, BYU, September 30, Provo, USA.

Unique factorizations in homotopy theory II, September 16, Provo, USA.

Unique factorizations in homotopy theory I. September 14, Provo, USA.

When Algebra meets Topology, St. Mary University, April 22, Halifax, Canada. 

Automatically trivial fibrations. Dallhousie University, April 19. Halifax, Canada.

2009

Decompositions of groups of invertible elements in a ring. Proceedings. Section A, Mathematics, 139 (2009) 1275-1287.

Petar Pavešić  -  publications and talks                                      arXiv