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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 Edition
Sovič, 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 Edition
Sovič, 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 Edition
Sovič, 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
Harvard
Sovič, 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
Vancouver
Sovič 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
IEEE
T. 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

URI
https://hrcak.srce.hr/229606

Posjeta: 394 *