hrcak mascot   Srce   HID

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 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, no. 2, 2019, pp. 463-476. https://doi.org/10.3336/gm.54.2.09. Accessed 29 Nov. 2021.
Chicago 17th Edition
Sovič, 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
Harvard
Sovič, 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
Vancouver
Sovič 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
IEEE
T. 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 \(\varproj F\).

Keywords
Inverse limits; upper semicontinuous functions; quotient maps

Hrčak ID: 229606

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

Visits: 373 *