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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: 569

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Sažetak

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

Ključne riječi

Inverse limits; upper semicontinuous functions; quotient maps

Hrčak ID:

229606

URI

https://hrcak.srce.hr/229606

Datum izdavanja:

11.12.2019.

Posjeta: 1.461 *

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