Gabriel Minian

Publications and Preprints

• (with A. Barreto) Weakly G-slim complexes and the non-positive immersion property for generalized Wirtinger presentations. (Preprint 2025) ArXiv
• (with A. Barreto) Local indicability of groups with homology circle presentations. Algebr. Geom. Topol. (In Press, 2024). ArXiv
• (with M. Blufstein) A 2-complex with contracting non-positive immersions and positive maximal irreducible curvature. Groups Geom. Dyn. (In Press, 2024). ArXiv
• Morse theory of Bestvina-Brady type for posets and matchings. Proc. Roy. Soc. Edinburgh Sect. A Vol 154 (2024) 209-220.
• (with M. Blufstein and I. Sadofschi Costa) Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility. Proc. Roy. Soc. Edinburgh Sect. A Vol 152, Issue 3 (2022) 545-566.
• (with M. Blufstein) Strictly systolic angled complexes and hyperbolicity of one-relator groups. Algebr. Geom. Topol. 22:3 (2022), 1159-1175.
• (with K. Piterman) The fundamental group of the p-subgroup complex. J. Lond. Math. Soc. Vol 103, Issue 2 (2021) 449-469.
• (with E. Borghini) Simplicial complexity of surface groups. Proc. Roy. Soc. Edinburgh Sect. A vol 150, Issue 6 (2020) 3153-3162.
• (with E. Borghini) The covering type of closed surfaces and minimal triangulations. J. Combin. Theory Ser. A 166 (2019) 1-10.
• (with X. Fernandez) The cylinder of a relation and generalized versions of the Nerve Theorem. Discrete Comput. Geom. 63 (2020) 549-559.
• (with K. Piterman) The homotopy types of the posets of p-subgroups of a finite group. Adv. Math. 328 (2018) 1217-1233.
• (with J. Barmak) A new test for asphericity and diagrammatic reducibility of group presentations. Proc. Roy. Soc. Edinburgh Sect. A vol 150, Issue 2 (2020) 871-895.
• (with N. Capitelli) A simplicial complex is uniquely determined by its set of discrete Morse functions. Discrete Comput. Geom. 58 (2017) 144-157.
• (with J. Barmak) A note on coverings of posets, A-spaces and polyhedra. Homology Homotopy Appl. 18 (2016) 143-150.
• (with X. Fernandez) Homotopy colimits of diagrams over posets and variations on a theorem of Thomason. Homology Homotopy Appl. 18 (2016) 233-245.
• (with N. Capitelli) A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls. J. Combin. Theory Ser. A 138 (2016) 155-174.
• (with T. Rodriguez) A note on the homotopy type of the Alexander dual. Discrete Comput. Geom. 52 (2014) 34-43.
• (with M. Cerdeiro) A new approach to Whitehead's asphericity question. J. Homotopy Relat.Struct. 9 (2014)339-348.
• (with N. Capitelli) Non-homogeneous combinatorial manifolds. Beitr. Algebra Geom. 54 (2013) 419-439.
• Some remarks on Morse theory for posets, homological Morse theory and finite manifolds. Topology Appl. 159 (2012) 2860-2869.
• (with J. Barmak) Strong homotopy types, nerves and collapses. Discrete Comput. Geom. 47 (2012) 301-328.
• The geometry of relations. Order 27 (2010) 213-224.
• (with J. Barmak) Automorphism groups of finite posets Discrete Math. 309 (2009) 3424-3426.
• (with J. Barmak) One-point reductions of finite spaces, h-regular CW-complexes and collapsibility. Algebr. Geom. Topol. 8 (2008) 1763-1780.
• (with M.Ottina) A geometric decomposition of spaces into cells of different types II : Homology theory. Topology Appl. 155 (2008) 1777-1785.
• (with J. Barmak) Simple homotopy types and finite spaces. Adv. Math. 218 (2008) 87-104.
• (with J.Barmak) Minimal finite models. J. Homotopy Relat. Struct. 2 (2007) 127-140.
• (with M.del Hoyo) Classical invariants for global actions and groupoid atlases. Appl. Categ. Struct. 16 (2008) 689-721.
• (with J.Barmak) 2-Dimension from the Topological Viewpoint. Order 24 (2007) 49-58.
• (with M.Ottina) A Geometric Decomposition of Spaces into Cells of Different Types. J. Homotopy Relat. Struct. 1 (2006) 245-271.
• Spectra of Categories and Infinite Loop Space Machines. K-Theory 37, vol. 3 (2006) 249-261.
• (with A.Bak, R.Brown and T.Porter) Global Actions, Groupoid Atlases and Applications. J. Homotopy Relat. Struct. 1 (2006) 101-167.
• Combinatorial Homotopy Theory. Actas VIII Congreso Monteiro (2005) 99-119.
• Homotopy Theories for Pospaces and Topological Categories. Annales Sci. Mat. du Quebec (2005).
• Numerably Contractible Categories. K-Theory 36 (2005) 209-222.
• Notas de Topología Algebraica. Publicaciones de la Famaf, Serie B 46 (2004).
• (with H.-J.Baues and B. Richter) Crossed Modules over Operads and Operadic Cohomology. K-Theory 31 (2004) 39-69.
• Loop and Suspension Functors for Small Categories and Stable Homotopy Groups. Appl. Categ. Struct. 11 (2003) 207-218.
• (with H.-J.Baues) Crossed Extensions of Algebras and Hochschild Cohomology. Homology Homotopy Appl. 4 (2002) 66-82.
• Complexes in Cat. Topology Appl. 119 (2002), 41-51.
• Lambda Cofibration Categories and the Homotopy Categories of Global Actions and Simplicial Complexes. Appl. Categ. Struct. 10 (2002) 1-21.
• ( with H.-J.Baues) Track Extensions of Categories and Cohomology. K-Theory 23 (2001), 1-13.
• Cat as a Lambda Cofibration Category. J.Pure Appl.Algebra 167, 301-314.
• Generalized Cofibration Categories and Global Actions. K-Theory 20 (2000), 37-95.