Search Results - "García‐Calcines, J. M."

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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Brown representability for exterior cohomology and cohomology with compact supports by García‐Calcines, J. M., García‐Díaz, P. R., Murillo, A.

“…It is well known that cohomology with compact supports is a proper homotopy invariant. However, as the proper category lacks general categorical properties, a…”
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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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Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents by Álvarez-Aparicio, V., García-Calcines, J.M., Hernández-Paricio, L.J., Rivas-Rodríguez, M.T.

“…The objective of this work is twofold. One, we develop a theory of iteration for complex rational functions so that the problems of overflow and indeterminacy…”
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Generalized topological complexity and its monoidal version by García-Calcines, J. M

“…In the context of the Lusternik-Schnirelmann category, researcher T. Srinivasan demonstrated that when the space under consideration is an absolute…”
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Relative sectional category revisited by García-Calcines, J.M.

“…The concept of relative sectional category expands upon classical sectional category theory by incorporating the pullback of a fibration along a map. Our paper…”
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An inductive Lusternik–Schnirelmann category in a model category by García-Calcines, J.M., García-Díaz, P.R.

“…We prove that the notion of an inductive category in a model category agrees with the Ganea approach given by Doeraene. This notion also coincides with the…”
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Closed Simplicial Model Structures for Exterior and Proper Homotopy Theory by Garcia-Calcines, J. M., Garcia-Pinillos, M., Hernandez-Paricio, L. J.

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Simplicial fibrations by Fernández-Ternero, D, Calcines, J. M. García, Macías-Virgós, E, Vilches, J. A

“…We undertake a systematic study of the notion of fibration in the setting of abstract simplicial complexes, where the concept of `homotopy' has been replaced…”
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Formal aspects on parametrized topological complexity and its pointed version by Garcia-Calcines, J. M

“…The notion of parametrized topological complexity, introduced by Cohen, Farber and Weinberger, is extended to fibrewise spaces which are not necessarily…”
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Relative category and monoidal topological complexity by Carrasquel-Vera, J. G, Calcines, J. M. García, 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…”
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Brown representability for exterior cohomology and cohomology with compact supports by García-Calcines, J. M, García-Díaz, P. R, Murillo, A

“…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…”
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Regions of attraction, limits and end points of an exterior discrete semi-flow by García-Calcines, J. M, Hernández, L. J, Marañón, M, Rivas, M. T

“…An exterior space is a topological space provided with a quasi-filter of open subsets (closed by finite intersections). In this work, we analyze some relations…”
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Non functorial cylinders in a model category by García-Calcines J., García-Díaz P., Rodríguez-Machín S.

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Whitehead and Ganea constructions for fibrewise sectional category by Garcia-Calcines, J. M

“…We introduce the notion of fibrewise sectional category via a Whitehead-Ganea construction. Fibrewise sectional category is the analogue of the ordinary…”
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A completion construction for continuous dynamical systems by Calcines, J. M. Garcia, Paricio, L. J. Hernandez, Rodriguez, M. T. Rivas

“…In this work we construct the $\Co^{\r}$-completion and $\Co^{\l}$-completion of a dynamical system. If $X$ is a flow, we construct canonical maps $X\to…”
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Limit and end functors of dynamical systems via exterior spaces by Calcines, J. M. Garcia, Paricio, L. Hernandez, Rodriguez, M. Teresa Rivas

“…In this paper we analyze some applications of the category of exterior spaces to the study of dynamical systems (flows). We study the notion of an absorbing…”
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On proper and exterior sequentiality by Espanol, L, Calcines, J. M. Garcia, Minguez, M. C

“…In this article a sequential theory in the category of spaces and proper maps is described and developed. As a natural extension a sequential theory for…”
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Inductive Lusternik-Schnirelmann category in a model category by Garcia-Calcines, J. M, Garcia-Diaz, P. R

“…Journal of Pure and Applied Algebra 212 (2008) 147-156 We introduce the notion of inductive category in a model category and prove that it agrees with the…”
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Sequential homology by Garcia-Calcines, J.M., Hernandez-Paricio, L.J.

“…The notion of exterior space consists of a topological space together with a certain nonempty family of open subsets that is thought of as a ‘system of open…”
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