Gabriel Minian

Publications and Preprints

(with J. Barmak) G-colorings of posets, covering maps and fundamental group. Work in progress.
(with T. Rodriguez) A note on the homotopy type of the Alexander dual. Preprint.
(with M. Cerdeiro) A new approach to Whitehead's asphericity question. arXiv
Some remarks on Morse theory for posets, homological Morse theory and finite manifolds. Topology Appl.(in Press) arXiv .
(with N. Capitelli) Non-homogeneous combinatorial manifolds. (Accepted pending minor revisions in Beitraege zur Algebra und Geometrie). arXiv
(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. Advances in 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. Homotopy Homology 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.