Publications


Book


Algebraic Topology of Finite Topological Spaces and Applications. Lecture Notes in Mathematics Vol. 2032. Springer (2011) xviii+170 pp.

Articles


♦ (With M. Mrozek and T. Wanner) Conley index for multivalued maps on finite topological spaces (2023) pdf.
♦ Regular and semi-regular representations of groups by posets (2023) pdf.
♦ Cop and robber on finite spaces (2023) pdf.
♦ (With A. Barreto) Smallest posets with given cyclic automorphism group (2023) pdf.
♦ Connectivity of Ample, Conic, and Random Simplicial Complexes. International Mathematics Research Notices, Volume 2023, Issue 8, 6579–6597. pdf.
♦ Small Posets With Prescribed Automorphism Group. Periodica Mathematica Hungarica, 86(2023), 210-216. pdf.
♦ Invariants for metabelian groups of prime power exponent, colorings and stairs. Canadian Journal of Mathematics (2021), 1-31. pdf.
♦ Grupos libres y el winding invariant. Anales de la Academia Nacional de Ciencias Exactas, Físicas y Naturales 71(2020), 49-55.
♦ A short proof of Lyndon and Newman's result that c=[x,y] is not a product of two squares in the free group F with basis {x,y} using the Lyndon identity Theorem. (2020). pdf.
♦ The winding invariant. (2019). pdf.
♦ (With M. Mrozek and T. Wanner) A Lefschetz fixed point theorem for multivalued maps of finite spaces. Math. Zeitschrift 294(2020), 1477-1497. pdf.
♦ An exotic presentation of ZxZ and the Andrews-Curtis conjecture. (2018). pdf.
♦ Spaces which invert weak homotopy equivalences. Proceedings of the Edinburgh Mathematical Society 62(2019), pp. 553-558. pdf.
♦ Lion and man in non-metric spaces . Mathematische Zeitschrift 290(2018), pp. 1165-1172. pdf.
♦ (with G. Minian) A new test for asphericity and diagrammatic reducibility of group presentations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, in press (2018). pdf.
♦ (with I. Sadofschi Costa) On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra . Advances in Mathematics 305(2017) pp. 339-350. pdf.
♦ (with G. Minian) G-colorings of posets, covering and presentations of the fundamental group. pdf.
♦ (with G. Minian) A note on coverings of posets, A-spaces and polyhedra. Homology, Homotopy and Applications 18(2016), pp. 143-150. pdf.
♦ The fixed point property in every weak homotopy type . American Journal of Mathematics 138(2016), No. 5, pp. 1425-1438. pdf.
♦ Star clusters in independence complexes of graphs. Advances in Mathematics 241(2013) pp. 33–57. pdf.
♦ (with G. Minian) Strong homotopy types, nerves and collapses. Discrete and Computational Geometry 47(2012), pp. 301-328. pdf.
♦ (with M. Adamaszek) On a lower bound for the connectivity of the independence complex of a graph. Discrete Mathematics 311(2011), pp. 2566-2569. pdf
♦ On Quillen's Theorem A for posets. Journal of Combinatorial Theory Series A 118(2011) pp. 2445-2453. pdf.
♦ (with G. Minian) Automorphism groups of finite posets. Discrete Mathematics, Vol. 309(2009), Issue 10, pp. 3424-3426. pdf.
♦ (with G. Minian) One-point reductions of finite spaces, h-regular CW-complexes and collapsibility. Algebraic & Geometric Topology, 8(2008), pp. 1763-1780. pdf.
♦ (with G. Minian) Simple homotopy types and finite spaces. Advances in Mathematics, Vol. 218(2008), Issue 1, pp. 87-104. pdf.
♦ (with G. Minian) Minimal Finite Models. Journal of Homotopy and Related Structures, Vol. 2(2007), No. 1, pp. 127-140. pdf.
♦ (with G. Minian) 2-dimension from the topological viewpoint. Order 24(2007), pp. 49-58. pdf.

Appendix


In Michael Farber's paper Large simplicial complexes: Universality, Randomness, and Ampleness. J. Appl. and Comput. Topology (2023) link. Appendix On the connectivity of conic complexes.

Teaching notes


Poliedros: Una introduccion a la geometria y el algebra de los complejos simpliciales (in Spanish). Cursos y seminarios de matematica, Serie B. Departamento de Matematica, FCEyN, UBA (2014).


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