Glasnik Matematicki, Vol. 59, No. 1 (2024), 147-169. \( \)

CONCEPTIONS ON TOPOLOGICAL TRANSITIVITY IN PRODUCTS AND SYMMETRIC PRODUCTS II

Anahí Rojas, Aura L. Kantún, José N. Méndez and Víctor M. Méndez

Instituto de Agroingeniería, Universidad del Papaloapan, Av. Ferrocarril s/n, San Antonio, Loma Bonita, Oaxaca, C.P. 68400, México
e-mail:arojas@unpa.edu.mx

Instituto de Agroingeniería, Universidad del Papaloapan, Av. Ferrocarril s/n, San Antonio, Loma Bonita, Oaxaca, C.P. 68400, México
e-mail:alkantun@unpa.edu.mx

Instituto de Agroingeniería, Universidad del Papaloapan, Av. Ferrocarril s/n, San Antonio, Loma Bonita, Oaxaca, C.P. 68400, México
e-mail:jmendez@unpa.edu.mx

Instituto de Agroingeniería, Universidad del Papaloapan, Av. Ferrocarril s/n, San Antonio, Loma Bonita, Oaxaca, C.P. 68400, México
e-mail:vmendez@unpa.edu.mx

Abstract.   We continue the work initiated by A. Rojas, F. Barragán and S. Macías in Conceptions on topological transitivity in products and symmetric products. Thurk. J. Math. 44 (2020), 491–523. We consider classes of functions not included in the mentioned paper, namely: exact in the sense of Akin-Auslander-Nagar, fully exact, strongly transitive in the sense of Akin-Auslander-Nagar, very strongly transitive, exact transitive, strongly exact transitive and strongly product transitive.

2020 Mathematics Subject Classification.   37B02, 54B20, 54B10, 54F15, 54A99

Key words and phrases.   Topological transitivity, symmetric products, dynamical systems.

Full text (PDF) (access from subscribing institutions only)

https://doi.org/10.3336/gm.59.1.07

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