# Glasnik matematički,Vol. 54 No. 2, 2019

Original scientific paper
https://doi.org/10.3336/gm.54.2.09

Δ-related functions and generalized inverse limits

Tina Sovič ; Faculty of Civil Engineering, Transportation Engineering and Architecture, University of Maribor, 2000 Maribor, Slovenia

 Fulltext: english, pdf (158 KB) pages 463-476 downloads: 218* cite APA 6th EditionSovič, T. (2019). Δ-related functions and generalized inverse limits. Glasnik matematički, 54 (2), 463-476. https://doi.org/10.3336/gm.54.2.09 MLA 8th EditionSovič, Tina. "Δ-related functions and generalized inverse limits." Glasnik matematički, vol. 54, no. 2, 2019, pp. 463-476. https://doi.org/10.3336/gm.54.2.09. Accessed 29 Nov. 2021. Chicago 17th EditionSovič, Tina. "Δ-related functions and generalized inverse limits." Glasnik matematički 54, no. 2 (2019): 463-476. https://doi.org/10.3336/gm.54.2.09 HarvardSovič, T. (2019). 'Δ-related functions and generalized inverse limits', Glasnik matematički, 54(2), pp. 463-476. https://doi.org/10.3336/gm.54.2.09 VancouverSovič T. Δ-related functions and generalized inverse limits. Glasnik matematički [Internet]. 2019 [cited 2021 November 29];54(2):463-476. https://doi.org/10.3336/gm.54.2.09 IEEET. Sovič, "Δ-related functions and generalized inverse limits", Glasnik matematički, vol.54, no. 2, pp. 463-476, 2019. [Online]. https://doi.org/10.3336/gm.54.2.09

Abstracts
For any continuous single-valued functions $f,g: [0,1] \rightarrow [0,1]$ we define upper semicontinuous set-valued functions $F,G: [0,1] \multimap [0,1]$ by their graphs as the unions of the diagonal $\Delta$ and the graphs of set-valued inverses of $f$ and $g$ respectively. We introduce when two functions are $\Delta$-related and show that if $f$ and $g$ are $\Delta$-related, then the inverse limits $\varproj F$ and $\varproj G$ are homeomorphic. We also give conditions under which $\varproj G$ is a quotient space of $\varproj F$.

Hrčak ID: 229606

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