nLab Urtzi Buijs

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Selected writngs

On rational models of mapping spaces:

• Urtzi Buijs, Aniceto Murillo, Basic constructions in rational homotopy theory of function spaces, Annales de l’Institut Fourier, Volume 56 (2006) no. 3, p. 815-838 (doi:10.5802/aif.2201)

• Urtzi Buijs, Aniceto Murillo, The rational homotopy Lie algebra of function spaces, Comment. Math. Helv. 83 (2008), 723–739 (pdf)

• Urtzi Buijs, Yves Félix, Aniceto Murillo, $L_\infty$-rational homotopy of mapping spaces, published as $L_\infty$-models of based mapping spaces, J. Math. Soc. Japan Volume 63, Number 2 (2011), 503-524 (arXiv:1209.4756, doi:10.2969/jmsj/06320503)

On Whitehead $L_\infty$-algebras in rational homotopy theory:

• Francisco Belchí, Urtzi Buijs, José M. Moreno-Fernández, Aniceto Murillo, Higher order Whitehead products and $L_\infty$ structures on the homology of a DGL, Linear Algebra and its Applications, 520 (2017) 16-31 [arXiv:1604.01478, doi:10.1016/j.laa.2017.01.008]

On rational homotopy theory with general fundamental groups:

• Urtzi Buijs, Yves Félix, Aniceto Murillo, Daniel Tanré, Homotopy theory of complete Lie algebras and Lie models of simplicial sets, Journal of Topology (2018) 799-825 (arXiv:1601.05331, doi:10.1112/topo.12073)

On the Quillen Lie model of rational homotopy theory:

• Urtzi Buijs, Yves Félix, Aniceto Murillo, Daniel Tanré, Lie Models in Topology, Progress in Mathematics 335, Springer (2020) [doi:10.1007/978-3-030-54430-0]

On $A_\infty$-algebra-structure and Massey products:

• Urtzi Buijs, José Manuel Moreno-Fernández, Aniceto Murillo: A-infinity structures and Massey products, Mediterr. J. Math. 17 31 (2020) [arXiv:1801.03408, doi:10.1007/s00009-019-1464-1]

Related entries

• rational homotopy theory

• L-infinity algebra

• Whitehead product

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