Aniceto Murillo

activity

20122021

most citedAlgebraic models of non-connected spaces and homotopy theory of

L_{\infty}

algebras

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AT2021

The homology of the lamplighter Lie algebra

Yves Félix, Aniceto Murillo

We show that the associated Lie algebra of the Malcev $Q$ -completion of the lamplighter group is the pronilpotent completion of the lamplighter Lie algebra. We also prove…

math.AT2014

Brown representability for exterior cohomology and cohomology with compact supports

J. M. García-Calcines, P. R. García-Díaz, A. Murillo

It is well known that cohomology with compact supports is not a homotopy invariant but only a proper homotopy one. However, as the proper category lacks of general categorical prop…

math.AT2012★ 3 cited

Algebraic models of non-connected spaces and homotopy theory of $L_{\infty}$ algebras

Urtzi Buijs, Aniceto Murillo

We develop a homotopy theory of $L_{\infty}$ algebras based on the Lawrence-Sullivan construction, a complete differential graded Lie algebra which, as we show, satisfies the necessa…

The homology of the lamplighter Lie algebra

Brown representability for exterior cohomology and cohomology with compact supports

Algebraic models of non-connected spaces and homotopy theory of L∞​ algebras

Algebraic models of non-connected spaces and homotopy theory of $L_{\infty}$ algebras