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Preprints
Conditional flatness and admissibility of a reflector in a semi-abelian category, with Marino Gran . Available on the MathArXiv, August 2022, 2208.03453
Non-existence of fiberwise localization for crossed modules, with Olivia Monjon and Florence Sterck . Available on the MathArXiv, July 2022, 2207.09702
Accepted for publication
Floyd’s manifold is a conjugation space , with Wolfgang Pitsch . To appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze . Available on the MathArXiv (May 2021): 2105.04868
Published
Conjugation spaces are cohomologically pure , with Wolfgang Pitsch and Nicolas Ricka . Proceedings of the London Math. Soc. (3) 123 (2021), no. 3, 313–344. This is the accepted version of the following article: Conjugation spaces are cohomologically pure, which has been published in final form at [ProcLMS] , copyright © Wiley. Available on the MathArXiv (revised version, October 2020): 1908.03088
Realizing doubles: a zoo of conjugation spaces , with Wolfgang Pitsch , Proceedings of the Royal Society of Edinburgh Sec. A, 151 (2021), 509–524. Available on the MathArXiv (November 2019 version): 1911.13140
Cellular covers of local groups , with Ramón Flores. This is a preprint of an article published in the Mediterranean J. Math. The final authenticated version is available online at: https://doi.org/10.1007/s00009-018-1273-y. Available on Springer link . On the MathArXiv: 1707.08021
A Torus Theorem for homotopy nilpotent groups , with Cristina Costoya and Antonio Viruel , Arkiv Math 56 (2018), 53-71.
Relative homological algebra via truncations , with Amnon Neeman, Wojciech Chachólski and Wolfgang Pitsch, Doc. Math. 23 (2018), 895-937. On the MathArXiv: 1702.05357
Localization genus , with Jesper Møller , Publ. Mat. 61 (2017), 259-281. On the MathArXiv: 1506.05711
Homotopy excision and cellularity , with Wojciech Chachólski and Kay Werndli, Annales de l’Institut Fourier 66 (2016), no. 6, 2641-2665. On the MathArXiV: 1408.3252
Cellular properties of nilpotent spaces , with Wojciech Chachólski, Emmanuel Dror Farjoun, and Ramón Flores, Geometry and Topology 19 -5 (2015), 2741–2766. DOI 10.2140/gt.2015.19.2741. On the mathArXiV: 1401.3975
Goodwillie calculus and Whitehead products with Boris Chorny , Forum Math. 27 (2015), no. 1, 119-130. On the mathArXiV: 1109.2691
Conditionnally flat functors on spaces and groups , with Emmanuel Dror Farjoun, Collectanea Math. 66 (2015), no.1, 149-160. DOI 10.1007/s13348-013-0102-7. The final publication is available at link.springer.com .
Nilpotent p -local finite groups , with José Cantarero and Antonio Viruel , Arkiv för Matematik: Volume 52 , Issue 2 (2014), 203-225, doi:10.1007/s11512-013-0181-4, On the mathArXiV: arxiv.org/abs/1107.5158 . The final publication is available on link.springer.com
Topological complexity of H -spaces with Greg Lupton , Proc. Amer. Math. Soc. 141 (5), 2013, 1827-1838, S 0002-9939(2012)11454-6, on the mathArXiV: 1106.3399
Conjugation spaces and equivariant Chern classes with Wolfgang Pitsch , Bull. Belg. Math. Soc. Simon Stevin 20 , 2013, 77-90. On the mathArXiV: 1112.4357
Injective classes of modules with Wojciech Chachólski and Wolfgang Pitsch , J. Algebra Appl. 12 (4), 2013, 13 pages; Electronic version of the article doi/10.1142/S0219498812501885 © World Scientific Publishing Company: journal of algebra and its applications.
Spaces with Noetherian cohomology with Kasper Andersen, Natàlia Castellana, Vincent Franjou and Alain Jeanneret , Proceedings of the Isle of Skye Conference, Proc. Edinburgh Math. Soc. (2013) 56 , 13-25. DOI: 10.1017/S0013091512000193. On the mathArXiV: 1102.2755
Noetherian loop spaces with Natàlia Castellana and Juan A. Crespo, o n the mathArXiV: 0903.1701 Journal of the European Math. Soc. 13 1225–1244, Copyright © EMS2011, DOI 10.4171/JEMS/279.
Can one classify finite Postnikov pieces? with Jesper Møller , the published version is here: doi 10.1112/blms/bdq027 , on the mathArXiV: 0908.3393 Bulletin of the London Math. Soc. 42 2010, 661–672.
Generalized orientations and the Bloch invariant with Michel Matthey and Wolfgang Pitsch , on the mathArXiV: KT/0607496 , this is the Cambridge Journals Online published version Journal of K-Theory 6 2010, Issue 02, 241–261, Copyright © ISOPP 2009, DOI:10.1017/is009009019jkt093.
Homotopy exponents for large H -spaces with Wojciech Chachólski, Wolfgang Pitsch and Don Stanley , on the mathArXiV: 0804.1470 Int. Math. Res. Not. IMRN 2008 2008, no. 16, 5 pp.
Homology exponents for H -spaces with Alain Clément , on the mathArXiV: AT/0612276 Revista Iberoam. Mat. 24 2008, no. 3, 963–980.
Cohomological finiteness conditions: spaces versus H -spaces with Natalia Castellana and Juan A. Crespo Enseign. Math. (2) 54 2008, 68 – 70. This 2 page long note belongs to “Guido’s book of conjectures”.
Representations of spaces with Wojciech Chachólski , on the mathArXiV: AT/0511577 Algebr. Geom. Topol. AGT , 8 2008, 245-278.
A connection between cellularization for groups and spaces via two-complexes with José L. Rodríguez , on the mathArXiV: AT/0702607 J. Pure Appl. Algebra 212 2008, 1664-1673. doi: 10.1016/j.jpaa.2007.11.002
On the cohomology of highly connected covers of finite Hopf spaces with Natalia Castellana and Juan A. Crespo, o n the mathArXiV: AT/0607201 Adv. Math. 215 2007, 250-262. doi: 10.1016/j.aim.2007.03.011
Cellularization of classifying spaces and fusion properties of finite groups with Ramón J. Flores , on the mathArXiV: AT/0507139 J. London Math. Soc. 2007; doi: 10.1112/jlms/jdm031
Relating Postnikov pieces with the Krull filtration: A spin-off of Serre’s theorem with Natalia Castellana and Juan A. Crespo, o n the mathArXiV: AT/0507140 Forum Math. 19 Number 3 (2007), 555-561; doi: 10.1515/FORUM.2007.021
Deconstructing Hopf spaces with Natalia Castellana and Juan A. Crespo , on the mathArXiV: AT/0404031 ) Invent. Math. 167 Number 1 (2007), 1-18; doi: 10.1007/s00222-006-0518-8 The original publication is available at www.springer.com
Postnikov pieces and BZ/p -homotopy theory with Natalia Castellana and Juan A. Crespo, o n the mathArXiV: AT/0409399 ) Trans. Amer. Math. Soc. 359 Number 3 (2007), 1099-1113.
Non-simple localizations of finite simple groups with José L. Rodríguez and Antonio Viruel , on the mathArXiV: AT/0210405 ) J. Algebra 305 (2006), 765-774. DOI information: 10.1016/j.jalgebra.2006.06.041 available online YJABR11204
Homotopy pull-backs up to localization with Wojciech Chachólski and Wolfgang Pitsch , on the mathArXiV: AT/0501250 in An Alpine Anthology of Homotopy Theory, Proceedings of the Arolla Conference on Algebraic Topology 2004 Contemp. Math. 399 (2006), 55-72.
Fiberwise localization and the cube theorem with David Chataur , on the mathArXiV: AT/0303062 Comment. Math. Helv. 81 (2006), 171-189.
On the homotopy groups of p -completed classifying spaces with Natalia Castellana and Juan A. Crespo , on the mathArXiV: AT/0501442 Manuscripta Math. 118 number 3 (2005), 399-409.
On localizations of torsion abelian groups with Lutz Strüngmann and José L. Rodríguez Fundamenta Mathematicae 183 (2004) 123-138.
Realizing operadic plus-constructions as nullifications with David Chataur and José L. Rodríguez, o n the mathArXiV: AT/0301130 K-Theory 33 (2005) 1-21
Preservation of perfectness and acyclicity: Berrick and Casacuberta’s universal acyclic space localized at a set of primes with José L. Rodríguez and Antonio Viruel Forum Math. 17 (2005) 67-75 (On the mathArXiV: GR/0301325 )
Homology fibrations and ”group-completion” revisited with Wolfgang Pitsch Homology, Homotopy, and Applications 6 (2004) 153-166.
Finite simple groups and localization with José L. Rodríguez and Jacques Thévenaz Israel J. Math. 131 (2002) 185-202.
Homotopy colimits in model categories with Wojciech Chachólski Memoirs of the Amer. Math. Soc. 155 , Number 736 (2002). (On the mathArXiV: AT/0110316 )
Cellular approximations using Moore spaces with José L. Rodríguez in Cohomological Methods in Homotopy Theory Progress in Mathematics 196 , Birkhauser Verlag (2001), 357-374.
Homological localization preserves 1-connectivity with Carles Casacuberta in Une Dégustation Topologique, Homotopy Theory in the Swiss Alps, Proceedings of the Arolla Conference on Algebraic Topology 1999 Contemp. Math. 265 (2000) 1-6.
Universal Exponents for high-dimensional Gamma Groups Expo. Math. 13 (1995), 455-468.