Categoría de una aplicación y análisis no lineal

Ipanaque Zapata, C. A. (2023). Categoría de una aplicación y análisis no lineal. Pro Mathematica, 32(64), 31-74

Número seccional de un homomorfismo de grafos

Zapata, C. A. I., & Ramos, W. F. C. Número seccional de un homomorfismo de grafos. (2023). Pesquimat, 26(2), 39-46

Borsuk-Ulam property and sectional category

Zapata, C. A. I., & Gonçalves, D. L. (2023). Borsuk–Ulam Property and Sectional Category. Bulletin of the Iranian Mathematical Society, 49(4), 41. 

Higher topological complexity of a map

ZAPATA, C. A. I., & González, J. (2023). Higher topological complexity of a map. Turkish Journal of Mathematics, 47(6), 1616-1642.

On the Topology of the Milnor Fibration

T.~O.~Souza and C.~A.~I.~Zapata. On the Topology of the Milnor Fibration. Bull Braz Math Soc, New Series 54, 6 (2023). 

Parametrised collision-free optimal motion planning algorithms in euclidean spaces

Zapata, C. A. I., & González, J. (2022). Parametrised collision-free optimal motion planning algorithms in Euclidean spaces. Morfismos, v. 26(2).

Effectual topological complexity

Cadavid-Aguilar, N., González, J., Gutiérrez, B., and Ipanaque-Zapata, C. A. (2021). Effectual topological complexity. Journal of Topology and Analysis, 1-18.

Introducción a la teoría de complejidad topológica

C.~A.~I.~Zapata and R.~J.~G.~Pérez. Introducción a la teoría de complejidad topológica. Pesquimat, 24(1), 57-69 (2021).

Sectional category and the fixed point property

C. A. I. Zapata and J. González, 'Sectional category and The Fixed Point Property'. Topol. Methods Nonlinear Anal. Volume 56, Number 2 (2020), 559-578. doi:10.12775/TMNA.2020.033.

Sequential collision-free optimal motion planning algorithms in punctured Euclidean spaces  

Multitasking collision-free optimal motion planning algorithms in Euclidean spaces

C.~A.~I.~Zapata and J.~González. Multitasking collision-free motion planning algorithms in Euclidean spaces. Discrete Mathematics, Algorithms and Applications, 12, no. 3 (2020) 2050040. doi:10.1142/S1793830920500408

Category and Topological complexity of the configuration space $F(G\times \mathbb{R}^n,2)$

C.~A.~I.~Zapata. Category and topological complexity of the configuration space F(GxRn,2). Bulletin of the Australian Mathematical Society, v. 100, p. 507-517, 2019.

Lusternik-Schnirelmann category of the configuration space of complex projective space 

C.~A.~I.~Zapata. Lusternik--Schnirelmann Category of the Configuration Space of Complex Projective Space. Topology Proceedings, v. 54, p. 103-108, 2018.

Non-contractible configuration spaces 

C.~A.~I.~Zapata. Non-contractible configuration spaces. Morfismos, v. 22, p. 27-39, 2018.

Arxiv pre-prints

Existência de Deus via homotopia

Nesta pequena nota, usando homotopia, mostramos que o nosso universo está contido num universo maior unificado (ou seja, se reduz a um só). Assim, concluímos que Deus existe como aquilo que nós unifica (não como uma personificação). .