Search Results - "Vandembroucq, Lucile"

On the LS-category and topological complexity of projective product spaces by Fişekci, Seher, Vandembroucq, Lucile

“…We determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtain an upper bound for the topological…”
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On the rational topological complexity of coformal elliptic spaces by Hamoun, Said, Rami, Youssef, Vandembroucq, Lucile

“…We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular…”
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Topological complexity of the Klein bottle by Cohen, Daniel C., Vandembroucq, Lucile

“…We show that the normalized topological complexity of the Klein bottle is equal to 4. For any non-orientable surface Ng of genus g≥2, we also show that…”
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Hopf invariants for sectional category with applications to topological robotics by González, Jesús, Grant, Mark, Vandembroucq, Lucile

“…We develop a theory of generalized Hopf invariants in the setting of sectional category. In particular, we show how Hopf invariants for a product of fibrations…”
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Joins of DGA modules and sectional category by Fernández Suárez, Lucía, Ghienne, Pierre, Kahl, Thomas, Vandembroucq, Lucile

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Motion planning in connected sums of real projective spaces by Cohen, Daniel C., Vandembroucq, Lucile

“…The topological complexity TC(X) is a homotopy invariant of a topological space X, motivated by robotics, and providing a measure of the navigational…”
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Embeddings up to homotopy of two-cones in euclidean space by Lambrechts, Pascal, Stanley, Don, Vandembroucq, Lucile

“…We say that a finite CW-complex X embeds up to homotopy in a sphere S^{n+1} if there exists a subpolyhedron K\subset S^{n+1} having the homotopy type of X. The…”
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Rational approximations of sectional category and Poincaré duality by Carrasquel-Vera, José Gabriel, Kahl, Thomas, Vandembroucq, Lucile

“…Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toomer invariant e 0 coincide for simply connected Poincaré…”
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Weak sectional category by Garcia-Calcines, J., Vandembroucq, L.

“…Based on a Whitehead-type characterization of the sectional category, we develop the notion of weak sectional category. This is a new lower bound of the…”
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Topological complexity and the homotopy cofibre of the diagonal map by García Calcines, J. M., Vandembroucq, L.

“…In this paper, we establish some relationships between the topological complexity of a space X and the category of , the homotopy cofibre of the diagonal map …”
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Explicit Quillen models for Cartesian products of $2$-cones by Buijs, Urtzi, Carrasquel, José, Vandembroucq, Lucile

“…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…”
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On the LS-category and topological complexity of projective product spaces by Fişekci, Seher, Vandembroucq, Lucile

“…We determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtained an upper bound for the topological…”
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An upper bound for the rational topological complexity of a family of elliptic spaces by Hamoun, Said, Rami, Youssef, Vandembroucq, Lucile

“…In this work, we show that, for any simply-connected elliptic space $S$ admitting a pure minimal Sullivan model with a differential of constant length, we have…”
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Module sectional category of products by Carrasquel, J. G., Parent, P.-E., Vandembroucq, Lucile

“…Adapting a result of Félix–Halperin–Lemaire concerning the Lusternik–Schnirelmann category of products, we prove the additivity of a rational approximation for…”
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A study of the Ganea conjecture for topological complexity by using weak topological complexity by Garcia-Calcines, Jose M, Vandembroucq, Lucile

“…In this paper, we provide sufficient conditions for a space $X$ to satisfy the Ganea conjecture for topological complexity. To achieve this, we employ two…”
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Relative category and monoidal topological complexity by Carrasquel-Vera, J.G., García-Calcines, J.M., Vandembroucq, L.

“…If a map f has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of f are the same. In this…”
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On the topological complexity of manifolds with abelian fundamental group by Cohen, Daniel C, Vandembroucq, Lucile

“…We find conditions which ensure that the topological complexity of a closed manifold $M$ with abelian fundamental group is nonmaximal, and see through examples…”
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On the rational topological complexity of coformal elliptic spaces by Hamoun, Said, Rami, Youssef, Vandembroucq, Lucile

“…We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular…”
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Motion planning in connected sums of real projective spaces by Cohen, Daniel C, Vandembroucq, Lucile

“…Top. Proc. 54 (2019), 323-334 The topological complexity ${\sf TC}(X)$ is a homotopy invariant of a topological space $X$, motivated by robotics, and providing…”
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Topological Complexity of the Klein bottle by Cohen, Daniel C, Vandembroucq, Lucile

“…J Appl. and Comput. Topology (2017) 1: 199-213 We show that the (normalized) topological complexity of the Klein bottle is $4$. We also show that, for any…”
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