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.

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