Aniceto Murillo

Publicaciones (Publications)

Urtzi Buijs, Yves Félix and Aniceto Murillo

Rational Homotopy of the (homotopy) fixed point set of circle actions

Advances in Math. 222(1), 151-171, 2009

Urtzi Buijs, Yves Félix and Aniceto Murillo

Lie models for the components of the space of sections of a nilpotent fibration

Trans. Amer. Math. Soc. 361(10), 5601-5614, 2009.

Marek Golasinski and  Aniceto Murillo

Homotopy cofibres, higher coassociativity and homotopy coalgebras

Journal of Math. Kyoto Univ. 48(3), 631.638,  2008.

Antonio Garvín, Aniceto Murillo, Josué Remedios and Antonio Viruel

Self homotopy equivalences of localized aspherical complexes

Math. Nachr. 281(2), 214-219, 2008.

Luis Lechuga and Aniceto Murillo

Topological complexity of formal spaces

Contemp. Math. 428, 105-114. 2007.

Aniceto Murillo

The virtual Spivak fibre, duality on fibrations and Gorenstein spaces

Trans. Amer. Math. Soc. 359(8), 3577-3587, 2007.

José M. García Calcines, Pedro R. García Díaz and Aniceto Murillo

A Whitehead-Ganea approach to proper Lusternik-Schnirelmann category

Math. Proc. Cambridge Phil. Soc. 142(3), 439-457, 2007.

Marek Golasinski and Aniceto Murillo

Maps into homotopy coalgebras

Topology and its Appl. 153(15), 2876-2885, 2006.

Urtzi Buijs and Aniceto Murillo

Basic constructions in rational homotopy theory of function spaces

Annal. Inst. Fourier 56(3), 815-838, 2006.

Yves Félix, Barry Jessup and Aniceto Murillo

Anick conjecture for spaces with decomposable Postnikov invariants

Math. Proc. Cambridge Phil. Soc. 137(3), 559-570, 2004.

Luis Lechuga and Aniceto Murillo

A formula for the rational LS-category of certain spaces

Antonio Garvín, Aniceto Murillo, Petar Pavesic and Antonio Viruel

Nilpotence and localization of groups of fibre homotopy equivalences

Contemp. Math. 274, 145-158, 2001.

Martin Arkowitz, Greg Lupton and Aniceto Murillo

Subgroups of the group of self-homotopy equivalences

Contemp. Math. 274, 21-32, 2001.

Luis Lechuga and Aniceto Murillo

The fundamental class of a rational spaces, the graph coloring problem and other classical decision problems

Bull. Belg. Math. Soc. 8, 451-467, 2001.

Aniceto Murillo and Antonio Viruel

Lusternik-Schnirelmann cocategory: a Whitehead dual approach

In Cohomological Methods in Homotopy Theory, Progress in Math. 196, Birkhäuser Verlag,  323-347, 2001.

Luis Lechuga and Aniceto Murillo

Complexity in rational homotopy

Topology 39(1), 89-95, 2000.

Luis Lechuga and Aniceto Murillo

The top cohomology class of classical compact homogeneous spaces

Algebra, groups and geometries 16, 531-550, 1999.

Antonio Garvín, Luis Lechuga, Vicente Muñoz, Aniceto Murillo and Antonio Viruel

An extension of Miller version of the De Rham theorem with any coefficients

Banach Center Publ. 45, 169-176, 1998.

Yves Félix and Aniceto Murillo

Gorenstein graded algebras and the evaluation map

Canad. Math. Bull. 41(1), 28-32, 1998.

Yves Félix and Aniceto Murillo

A bound for the nilpotency of a group of self homotopy equivalences

Proc. Amer. Math. Soc. 126(2), 625-627, 1998.

Yves Félix and Aniceto Murillo

A note on the nilpotency of subgroups of self homotopy equivalences

Bull. London Math. Soc. 29, 486-488, 1997.

Barry Jessup and Aniceto Murillo

Approximating rational spaces with elliptic complexes and a conjecture of Anick

Pacific Jour. Math. 181(2), 269-280, 1997.

Aniceto Murillo

The behaviour of ExtA(R,A) through a morphism

Journal of Algebra 192, 477-503, 1997.

Aniceto Murillo

Le comportement de ExtA(R,A) par rapport aux morphisms

Comp. Rend. Acad. Sci. Paris 321(I), 27-31, 1995.

Aniceto Murillo

The evaluation map of some Gorenstein algebras

Journal Pure Appl. Algebra 91, 209-218, 1994.

Aniceto Murillo

The top cohomology class of certain spaces

Journal Pure Appl. Algebra 84, 209-214, 1993.

Aniceto Murillo

On the evaluation map

Trans. Amer. Math. Soc. 339(2), 611-623, 1993.

Aniceto Murillo

Rational fibrations in differential homological algebra

Trans. Amer. Math. Soc. 332(1), 79-92, 1992.

Inicio

(In)Do(/e)cencia

Publicaciones

Otras cosas

José M. García Calcines, Pedro R. García Díaz and Aniceto Murillo

The Ganea conjecture in proper homotopy via exterior homotopy theory

Math. Proc. Cambridge Phil. Soc.  149(1), 75-91, 2010

Urtzi Buijs and Aniceto Murillo

The rational homotopy Lie algebra of function spaces

Comment. Math. Helv. 83(4), 723-739, 2008.

Aniceto Murillo

Robótica topológica: complejidad topológica de algoritmos de movimientos

La Gaceta de la RSME  12(1), 107-127, 2009.

Urtzi Buijs, Yves Félix and Aniceto Murillo

L-infinity models of mapping spaces

Journal of the Math. Soc. of Japan 63(2), 503-524, 2011.

Aniceto Murillo

Rational fibrations in differential homological algebra (Abstract)

Extracta Mathematicae. 5(1), 18-20, 1992.

Aniceto Murillo

On the evaluation map (Abstract)

Extracta Mathematicae. 5(1), 21-22, 1992.

Aniceto Murillo

The top cohomology class of certain spaces (Abstract)

Extracta Mathematicae. 6(2), 181-183, 1993.

Aniceto Murillo

Geometría fractal: El diseño de la naturaleza

En SCTM06 Sociedad, Ciencia, Tecnología y Matemáticas, 2006.

Barry Jessup, Aniceto Murillo and Paul Eugene Parent

Rational topological complexity

Algebraic and Geometric Topology 12, 1793-1805, 2012.

Maxence Cuvilliez, Aniceto Murillo and Antonio Viruel

Nilpotency of self homotopy equivalences with coefficients

Annal. Inst. Fourier 61(1), 351-364, 2011.

Yves Félix, Aniceto Murillo and Daniel Tanré

Fibrewise rational homotopy theory

Journal of Topology 3(4), 743-758, 2010.

Annal. Inst. Fourier 52(5), 1585-1590, 2002.

Urtzi Buijs, Yves Félix and Aniceto Murillo

L-infinity rational homotopy of mapping spaces

Revista Matemática Complutense 26(2), 573-588, 2013

José M. García Calcines, Pedro R. García Díaz, Aniceto Murillo and Josué Remedios

Abstract sectional category

Bulletin Belg. Math. Soc. 19(3), 485-506, 2012.

Urtzi Buijs, Javier Gutiérrez and Aniceto Murillo

Derivations, the Lawrence-Sullivan interval and the Fiorenza Manetti mapping cone

Math. Zeitschrift 273(3-4), 981-997, 2013.

Urtzi Buijs and Aniceto Murillo

The Lawrence-Sullivan construction is the right model of I+

Algebraic and Geometric Topology 13(1), 577-588, 2013.

Urtzi Buijs and Aniceto Murillo

Algebraic models of non connected spaces and homotopy theory of L-infinity algebras.

Advances in Math. 236, 60-91, 2013.

Javier Fernández de Bobadilla, Javier Fresán, Vicente Muñoz and Aniceto Murillo

The Hilali conjecture for hyperelliptic spaces

En Mathematics without boundaries: surveys in pure mathematics,  Springer, 21-36, 2014.

Urtzi Buijs and Aniceto Murillo

Rational homotoy type of mapping spaces between spheres

Proc. Ukr. Math. Soc. 6(6), 130-139, 2013.

José M. García Calcines, Pedro R. García Díaz and Aniceto Murillo

Brown representability for exterior cohomology and cohomology with compact supports

Journal of the London Math. Soc.  90(1), 184-196, 2014.

Francisco Belchí and Aniceto Murillo

A-infinity Persistence

Applicable Algebra in Engineering, Communication and Computing, Special issue in  Computational and Applied topology, 26(1-2), 121-140, 2015.

Urtzi Buijs, José Carrasquel-Vera and  Aniceto Murillo

The gauge action, DG-Lie algebras and identities for Bernoulli numbers

Forum Mathematicum 29(2), 277-286, 2017.

Urtzi Buijs, Yves Félix, Sergio Huerta and Aniceto Murillo

The homotopy fixed point set of Lie group actions on elliptic spaces

Proceedings of the London Math. Soc. 110(5), 1135-1156, 2015.

Urtzi Buijs y Aniceto Murillo

Álgebras de Lie bajo un prisma topológico

La Gaceta de la RSME  17(4), 783-796, 2014.

Urtzi Buijs, Yves Félix, Aniceto Murillo y Daniel Tanré

The Deligne groupoid of the Lawrence-Sullivan interval

Topology and its Appl. 204, 1-7, 2016.

Marco Moraschini y Aniceto Murillo

Abstract sectional category in model structures on topological spaces

Topology and its Appl. 199, 23-31, 2016.

Urtzi Buijs, Yves Félix, Aniceto Murillo y Daniel Tanré

Homotopy theory of complete Lie algebras and Lie models of simplicial sets

Journal of Topology 11(3), 799-825, 2018.

Francisco Belchí, Urtzi Buijs, José M. Moreno y Aniceto Murillo

Higher Whitehead brackets and L-infinity structures on the homology of a DGL

Linear Algebra and its Applications 520, 16-31, 2017.

Urtzi Buijs, Yves Félix, Aniceto Murillo y Daniel Tanré

Maurer-Cartan elements en the Lie models of finite simplicial complexes

Canadian Math. Bull. 60(3), 470-477, 2017.

Urtzi Buijs, Yves Félix, Aniceto Murillo y Daniel Tanré

The infinity Quillen functor, Maurer-Cartan elements and realization of Lie algebras

Preprint.

Aniceto Murillo y Jie Wu

Topological complexity of the work map

Journal of Topology and Analysis 13(1), 219-238, 2021.

Aniceto Murillo

Quillen rational homotopy theory revisited

Revista  de la Academia  Canaria de Ciencias XXX, 55-72, 2018.

Urtzi Buijs, José M. Moreno y Aniceto Murillo

A-infinity structures and Massey products

Mediterranean Journal of Mathematics 17(1), 2020.

Urtzi Buijs, Yves Félix, Aniceto Murillo y Daniel Tanré

Symmetric Lie models of a triangle

Fundamenta Mathematicae 249, 289-300, 2019.

Indranial Biswas, Vicente Muñoz y Aniceto Murillo

Elliptic toric varieties

Tokyo Journal of Math. 44(1), 235-250, 2021.

Urtzi Buijs, Yves Félix, Aniceto Murillo y Daniel Tanré

Lie models of simplicial sets and representability of the Quillen functor

Israel Journal of Mathematics 238(1), 313-358, 2020.

Urtzi Buijs, Antonio Garvín  y Aniceto Murillo

Rational maps from Eclidean configurations spaces to spheres

Turkish Journal of Mathematics 43, 2287-2298, 2019.

José M. García Calcines, Pedro R. García Díaz and Aniceto Murillo

Classification of exterior and proper fibrations

Proceedings of the AMS 148(7), 3175-3185, 2020.

Urtzi Buijs, Yves Félix, Aniceto Murillo y Daniel Tanré

Lie models in Topology

(Premio Ferrán Sunyier i Balaguer 2020)

Progress in Math. 335, Birkhäuser-Springer, 2021.

Aniceto Murillo

No todo es lo que parece

 

En Un Fisquito de Matemáticas, Vive Libro Ed., 87-95, 2021.

Yves Félix y  Aniceto Murillo

Homology of the completion of a Lie algebra

Proceedings of the AMS  150(1), 95-103, 2022 .

Yves Félix y  Aniceto Murillo

The homology of the lamplighter Lie algebra

Algebra and Logic  60(6), 425-432, 2022.

Yves Félix, Mario Fuentes y Aniceto Murillo

Lie models of homotopy automorphisms monoids and classifying fibrations

Advances in Math.  402, 1-64, 2022.

Yves Félix, Mario Fuentes y Aniceto Murillo

Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types

Algebraic & Geometric Topology 24(4), 2285-2307, 2024.

Yves Félix, Mario Fuentes y Aniceto Murillo

All known realizations of complete Lie algebras coincide

Aceptado en Algebraic & Geometric Topology.

Yves Félix, Mario Fuentes y Aniceto Murillo

A survey on applications of a new approach to Quillen rational homotopy theory

Cutting-Edge Mathematics, RSME-Springer Series 13, 62-80, Springer, 2024.

Yves Félix, Mario Fuentes y Aniceto Murillo

Rational homotopy type of relative universal fibrations

Preprint, 2023.

Dmytro Karvatskyi, Aniceto Murillo y Antonio Viruel

The achievement set of generalized multigeometric sequences

Results in Mathematics 79(132), 2024.

José Manuel García-Calcines y Aniceto Murillo

Proper Topological complexity

Preprint, 2024.

Yves Félix, Mario Fuentes y Aniceto Murillo

A Lie characterization of the Bousfield-Kan Q-completion and Q-Good spaces

Preprint, 2024.