A. Barreto and G. Minian Weakly G-slim complexes and the non-positive immersion property for generalized Wirtinger presentations. (Preprint 2025).
K. Piterman, I. Sadofschi Costa. Group actions on contractible 2-complexes II. Invent. Math. (In Press, 2025).
I. Sadofschi Costa. Group actions on contractible 2-complexes I. Invent. Math. (In Press, 2025).
K. Piterman. Spherical p-group complexes arising from finite groups of Lie type. Algebr. Geom. Topol. (In press, 2025).
A. Barreto and G. Minian. Local indicability of groups with homology circle presentations. Algebr. Geom. Topol. (In Press, 2024).
B. Bruck, K. Piterman and V. Welker. The common basis complex and the partial decomposition poset.
Int. Math. Res. Not. IMRN 2024, no. 18, 12746--12760
J. Barmak. Regular and semi-regular representations of groups by posets. Ars Mathematica Contemporanea (2024)
J. Barmak. An exotic presentation of ZxZ and the Andrews-Curtis conjecture. Algebraic and Geometric Topology (2024).
K. Piterman. On the frame complex of symplectic spaces.
J. Algebra 642 (2024), 65--94.
M. Blufstein and G. Minian. A 2-complex with contracting non-positive immersions and positive maximal irreducible curvature. Groups Geom. Dyn. (In Press, 2024).
J. Barmak, M. Mrozek and T. Wanner. Conley index for multivalued maps on finite topological spaces. Foundations of Computational Mathematics (2024).
G. Minian. Morse theory of Bestvina-Brady type for posets and matchings. Proc. Roy. Soc. Edinburgh Sect. A Vol 154 (2024) 209-220.
X. Fernandez. Morse theory for group presentations. Trans. Amer. Math. Soc. 377 (2024), 2495-2523
K. Piterman. Maximal subgroups of exceptional groups and Quillen's dimension.
Algebra Number Theory 18 (2023), no. 7, 1375--1401..
J. Barmak, A. Barreto. Smallest posets with given cyclic automorphism group.
Algebraic Combinatorics (2024).
K. Piterman, V. Welker. Homotopy properties of the complex of frames of a unitary space.
J. London Math. Soc. 110 (2024).
K. Piterman, S.D. Smith. Some results on Quillen's Conjecture via equivalent-poset techniques.
J. Comb. Algebra. In press (2024).
M. Blufstein, G. Minian, 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.
K. Piterman, S.D. Smith. Eliminating components in Quillen's Conjecture.
J. Algebra 607 (2022), 681--732.
K. Piterman. An approach to Quillen's conjecture via centralizers of simple groups. Forum of Mathematics, Sigma 9 (2021).
J. Barmak. Connectivity of Ample, Conic, and Random Simplicial Complexes. International Mathematics Research Notices Volume 2023, Issue 8, 6579–6597.
J. Barmak. Invariants for metabelian groups of prime power exponent, colorings and stairs. Canadian Journal of Mathematics (2021), 1-31.
E. Borghini, X. Fernandez, P. Groisman, G. Mindlin. Intrinsic persistent homology via density-based metric learning Journal of Machine Learning Research 24(75):1−42, 2023.
J. Barmak. Small Posets With Prescribed Automorphism Group. Periodica Mathematica Hungarica (2022)
J. Barmak. 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. Preprint (2020)
J. Barmak, M. Mrozek, T. Wanner. A Lefschetz fixed point theorem for multivalued maps of finite spaces. Math. Zeitschrift 294 (2020), 1477-1497.
E. Borghini. A systolic inequality for 2-complexes of maximal cup-length and systolic area of groups. Preprint (2019)
M. Blufstein, G. Minian. Strictly systolic angled complexes and hyperbolicity of one-relator groups. Algebr. Geom. Topol. (In Press 2021)
K. Piterman, I. Sadofschi Costa and A. Viruel Acyclic 2-dimensional complexes and Quillen's conjecture. Publicacions Matematiques 65 (2021), pp. 129-140
E. Borghini and G. Minian Simplicial complexity of surface groups. Proc. Roy. Soc. Edinburgh Sect. A vol 150, Issue 6 (2020) 3153-3162.
J. Barmak The winding invariant (Preprint 2019)
K. Piterman. A stronger reformulation of Webb's conjecture in terms of finite topological spaces. J. Algebra 527 (2019) pp. 280-305.
G. Minian and K. Piterman The fundamental group of the p-subgroup complex.
J. Lond. Math. Soc. Vol 103, Issue 2 (2021) 449-469
J. Barmak. A counterexample to a strong version of the Andrews-Curtis conjecture. (Preprint).
J. Barmak. Lion and man in non-metric spaces. Math. Z. 290 (2018) 1165-1172.
X. Fernandez and G. Minian The cylinder of a relation and generalized versions of the Nerve Theorem . Discrete Comput. Geom. 63 (2020) 549-559.
J. Barmak. Spaces which invert weak homotopy equivalences. Proceedings of the Edinburgh Mathematical Society 62(2019), 553-558
I. Sadofschi Costa. The complex of partial bases of a free group. Bull. London Math. Soc. (Accepted 2019)
G. Minian and E. Borghini The covering type of closed surfaces and minimal triangulations. J. Combin. Theory Ser. A 166 (2019) 1-10.
G. Minian and K. Piterman The homotopy types of the posets of p-subgroups of a finite group. Adv. Math. 328 (2018) 1217-1233.
J. Barmak and G. Minian A new test for asphericity and diagrammatic reducibility of group presentations. Proc. Roy. Soc. Edinburgh Sect. A vol 150, Issue 2 (2020) 871-895.
N. Capitelli and G. Minian A simplicial complex is uniquely determined by its set of discrete Morse functions. Discrete Comput. Geom. 58 (2017) 144-157.
I. Sadofschi Costa. Presentation complexes with the fixed point property. Geometry and Topology 21 (2017), pp. 1275–1283.
J. Barmak. The fixed point property in every weak homotopy type. American Journal of Mathematics 138 (2016), 1425-1438.
J. Barmak and G. Minian. G-colorings of posets, covering and presentations of the fundamental group.
J. Barmak and G. Minian. A note on coverings of posets, A-spaces and polyhedra. Homology Homotopy Appl. 18 (2016) 143-150.
J. Barmak and 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
X. Fernandez and G. Minian. Homotopy colimits of diagrams over posets and variations on a theorem of Thomason. Homology Homotopy Appl. 18 (2016) 233-245.
N. Capitelli. The non-pure version of the simplex and the boundary of the simplex. Comput. Geom. 57 (2016), 19-26.
N. Capitelli and G. Minian. 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.
G. Minian and T. Rodriguez. A note on the homotopy type of the Alexander dual. Discrete Comput. Geom. 52 (2014) 34-43.
M. Cerdeiro and G. Minian. A new approach to Whitehead's asphericity question. J. Homotopy Relat. Struct. 9 (2014) 339-348.
J. Barmak. Star clusters in independence complexes of graphs. Advances in Math. 241 (2013), 33-57.
N. Capitelli and G. Minian. Non-homogeneous combinatorial manifolds. Beitr. Algebra Geom. 54 (2013), No. 1, 419-439.
G. Minian. Some remarks on Morse theory for posets, homological Morse theory and finite manifolds. Topology Appl. 159 (2012), 2860-2869.
M. del Hoyo. On the loop space of a 2-category. Journal of Pure Appl. Al. 216 (2012), 28-40.
J. Barmak and G. Minian. Strong homotopy types, nerves and collapses. Discrete Comput. Geom. 47 (2012), 301-328.
M. del Hoyo. On the homotopy type of a (co)fibred category. Cahiers Top. Geom. Diff. Cat. 53 (2012), No. 2, 82-114.
J. Barmak. Algebraic topology of finite topological spaces and applications. Lecture Notes in Mathematics Vol. 2032. Springer (2011).
J. Barmak. On Quillen's Theorem A for posets . J. Combin. Theory Ser. A 118 (2011), 2445-2453.
J. Barmak. and M. Adamaszek. On a lower bound for the connectivity of the independence complex of a graph. Discrete Math. 311 (2011), 2566-2569.
M. Ottina. A-homology, A-homotopy and spectral sequences. J. Homotopy Relat. Struct. 6 (2011), 161-173.
G. Minian. The geometry of relations. Order 27 (2010), 213-224.
J. Barmak and G. Minian. Automorphism groups of finite posets. Discrete Math. 309 (2009), 3424-3426.
J. Barmak and G. Minian. One-point reductions of finite spaces, h-regular CW-complexes and collapsibility. Algebr. Geom. Topol. 8 (2008), 1763-1780.
M. Del Hoyo. On the subdivision of small categories. Topology Appl. 155 (2008), 1189-1200.
G.Minian and M. Ottina. A geometric decomposition of spaces into cells of different types II : Homology theory. Topology Appl. 155 (2008), 1777-1785.
J. Barmak and G. Minian. Simple homotopy types and finite spaces. Advances in Math. 218 (2008), 87-104.
M. del Hoyo and G. Minian. Classical invariants for global actions and groupoid atlases. Appl. Categ. Struct. 16 (2008), 689-721.
J. Barmak and G. Minian. Minimal finite models. J. Homotopy Relat. Struct. 2 (2007), 127-140.
J. Barmak and G. Minian. 2-Dimension from the Topological Viewpoint. Order 24 (2007), 49-58.
G. Minian and M. Ottina. A Geometric Decomposition of Spaces into Cells of Different Types. J. Homotopy Relat. Struct. 1
(2006), 245-271.
G. Minian. Spectra of Categories and Infinite Loop Space Machines. K-Theory 37, vol. 3 (2006), 249-261.
A. Bak, R. Brown, G. Minian and T. Porter. Global Actions, Groupoid Atlases and Applications.
J. Homotopy Relat. Struct. 1 (2006) 101-167.
G. Minian. Combinatorial Homotopy Theory. Actas VIII Congreso Monteiro (2005), 99-119.
G. Minian. Homotopy Theories for Pospaces and Topological Categories. Annales Sci. Mat. du Quebec (2005).
G. Minian. Numerably Contractible Categories. K-Theory 36 (2005), 209-222.
G. Minian. Notas de Topología Algebraica. Publicaciones de la Famaf, Serie B 46 (2004).
H. -J. Baues, G. Minian and B. Richter. Crossed Modules over Operads and Operadic Cohomology.
K-Theory 31 (2004), 39-69.
G. Minian. Loop and Suspension Functors for Small Categories and Stable Homotopy Groups.
Appl. Categ. Struct. 11 (2003), 207-218.
H. -J. Baues and G. Minian. Crossed Extensions of Algebras and Hochschild Cohomology.
Homotopy Homology Appl. 4 (2002), 66-82.
G. Minian. Complexes in Cat. Topology Appl. 119 (2002), 41-51.
G. Minian. Lambda Cofibration Categories and the Homotopy Categories of Global Actions and Simplicial Complexes.
Appl. Categ. Struct. 10 (2002), 1-21.
H. -J. Baues and G. Minian. Track Extensions of Categories and Cohomology. K-Theory 23 (2001), 1-13.
G. Minian. Cat as a Lambda Cofibration Category. J.Pure Appl. Algebra 167, 301-314.
G. Minian. Generalized Cofibration Categories and Global Actions. K-Theory 20 (2000), 37-95.