PAPERS
These papers were based on work supported by FAPESP grant\#2023/16525-7, grant\#2022/16695-7, grant \#2022/03270-8, grant\#2016/18714-8 and grant\#2018/23678-6, São Paulo Research Foundation (FAPESP).
- Zapata, C. A. I., and Estrella, F. A. T. (2025). Relative sectional number and the coincidence property. Topological Methods in Nonlinear Analysis. Online. 11 December 2025. pp. 1 - 18. DOI 10.12775/TMNA.2025.016
- Zapata, C. A. I., & De Mattos, D. (2025). Equivariant category and topological complexity of wedges. Glasgow Mathematical Journal, 1-20. DOI 10.1017/S0017089525100694
- Cadavid-Aguilar, N., González, J., Gutiérrez, B., and Ipanaque-Zapata, C. A. (2024). Effectual topological complexity. Journal of Topology and Analysis, Vol. 16, No. 01, pp. 53-70. DOI 10.1142/S1793525321500618
- Ipanaque Zapata, C. A. (2023). Categoría de una aplicación y análisis no lineal. Pro Mathematica, 32(64), 31-74. DOI 10.18800/promathematica.202301.003
- Zapata, C. A. I., & Ramos, W. F. C. Número seccional de un homomorfismo de grafos. (2023). Pesquimat, 26(2), 39-46. DOI 10.15381/pesquimat.v26i2.27116
- Zapata, C. A. I., & Gonçalves, D. L. (2023). Borsuk–Ulam Property and Sectional Category. Bulletin of the Iranian Mathematical Society, 49(4), 41. DOI 10.1007/s41980-023-00787-3
- Zapata, C. A. I., & González, J. (2023). Higher topological complexity of a map. Turkish Journal of Mathematics, 47(6), 1616-1642. DOI 10.55730/1300-0098.3453
- Souza, T. O., and Zapata, C. A. I. (2023). On the Topology of the Milnor Fibration. Bull Braz Math Soc, New Series 54, 6. DOI 10.1007/s00574-022-00316-6
- Zapata, C. A. I., & González, J. (2022). Parametrised collision-free optimal motion planning algorithms in Euclidean spaces. Morfismos, v. 26(2)
- Zapata, C. A. I., and Pérez, R. J. G. (2021). Introducción a la teoría de complejidad topológica. Pesquimat, 24(1), 57-69. DOI 10.15381/pesquimat.v24i1.20428
- Zapata, C. A. I., and González, J. (2020). Sectional category and The Fixed Point Property. Topol. Methods Nonlinear Anal. Volume 56, Number 2, 559-578. DOI 10.12775/TMNA.2020.033
- Zapata, C. A. I., and González, J. (2020). Sequential collision-free optimal motion planning algorithms in punctured Euclidean spaces. Bulletin of the Australian Mathematical Society, 102(3), 506-516. DOI 10.1017/S0004972720000167
- Zapata, C. A. I., and González, J. (2020). Multitasking collision-free motion planning algorithms in Euclidean spaces. Discrete Mathematics, Algorithms and Applications, 12, no. 3, 2050040. DOI 10.1142/S1793830920500408
- Zapata, C. A. I. (2019). Category and topological complexity of the configuration space F(GxRn,2). Bulletin of the Australian Mathematical Society, v. 100, p. 507-517. DOI 10.1017/S0004972719000479
- Zapata, C. A. I. (2018). Lusternik-Schnirelmann Category of the Configuration Space of Complex Projective Space. Topology Proceedings, v. 54, p. 103-108.
- Zapata, C. A. I. (2018). Non-contractible configuration spaces. Morfismos, v. 22, p. 27-39.
Lecture Notes
Número seccional de un homomorfismo de grupos
Zapata, C.A.I. Número seccional de un homomorfismo de grupos
Categoría de una aplicación y análisis no lineal
Zapata, C.A.I. Categoría de una aplicación y análisis no lineal
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). .