Urtzi Buijs

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

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math.AT2024

Explicit Quillen models for Cartesian products of $2$ -cones

Urtzi Buijs, José Carrasquel, Lucile Vandembroucq

We give an explicit minimal Quillen model for the Cartesian product $X \times Y$ of rational $2$ -cones in terms of derivations and a binary operation $\star \colon \mathbb{M}(V)\oti…

math.AT2024

Sectional category à la Quillen

Urtzi Buijs, José Carrasquel

In this note we give a characterization of the sectional category of a map between rational spaces in terms of its Koszul-Quillen model.

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…

Explicit Quillen models for Cartesian products of 2-cones

Sectional category à la Quillen

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

Explicit Quillen models for Cartesian products of $2$ -cones

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