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

Izvorni znanstveni članak
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

 Puni tekst: engleski, pdf (158 KB) str. 463-476 preuzimanja: 237* citiraj 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, br. 2, 2019, str. 463-476. https://doi.org/10.3336/gm.54.2.09. Citirano 03.12.2021. Chicago 17th EditionSovič, Tina. "Δ-related functions and generalized inverse limits." Glasnik matematički 54, br. 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), str. 463-476. https://doi.org/10.3336/gm.54.2.09 VancouverSovič T. Δ-related functions and generalized inverse limits. Glasnik matematički [Internet]. 2019 [pristupljeno 03.12.2021.];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, br. 2, str. 463-476, 2019. [Online]. https://doi.org/10.3336/gm.54.2.09

Sažetak
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 $\varproj F$.

Ključne riječi
Inverse limits; upper semicontinuous functions; quotient maps

Hrčak ID: 229606

Posjeta: 394 *