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https://doi.org/10.3336/gm.52.1.14

Approximate maps characterizing injectivity and surjectivity of maps

Takahisa Miyata ; Department of Mathematics and Informatics, Graduate School of Human Development and Environment, Kobe University, Kobe, 657-8501, Japan

Puni tekst: engleski, pdf (178 KB) str. 185-203 preuzimanja: 195* citiraj
APA 6th Edition
Miyata, T. (2017). Approximate maps characterizing injectivity and surjectivity of maps. Glasnik matematički, 52 (1), 185-203. https://doi.org/10.3336/gm.52.1.14
MLA 8th Edition
Miyata, Takahisa. "Approximate maps characterizing injectivity and surjectivity of maps." Glasnik matematički, vol. 52, br. 1, 2017, str. 185-203. https://doi.org/10.3336/gm.52.1.14. Citirano 26.09.2020.
Chicago 17th Edition
Miyata, Takahisa. "Approximate maps characterizing injectivity and surjectivity of maps." Glasnik matematički 52, br. 1 (2017): 185-203. https://doi.org/10.3336/gm.52.1.14
Harvard
Miyata, T. (2017). 'Approximate maps characterizing injectivity and surjectivity of maps', Glasnik matematički, 52(1), str. 185-203. https://doi.org/10.3336/gm.52.1.14
Vancouver
Miyata T. Approximate maps characterizing injectivity and surjectivity of maps. Glasnik matematički [Internet]. 2017 [pristupljeno 26.09.2020.];52(1):185-203. https://doi.org/10.3336/gm.52.1.14
IEEE
T. Miyata, "Approximate maps characterizing injectivity and surjectivity of maps", Glasnik matematički, vol.52, br. 1, str. 185-203, 2017. [Online]. https://doi.org/10.3336/gm.52.1.14

Sažetak
In the theory of inverse systems, in order to study the properties of a space X or a map f: X → Y between spaces, one expands X to an inverse system X or expands f to a map f: X → Y between the inverse systems, and then work on X or f. In this paper, we define approximate injectivity (resp., surjectivity) for approximate maps, and show that a map f: X → Y between compact metric spaces is injective (resp., surjective) if and only if any approximate map f:

Ključne riječi
Injective map; surjective map; epimorphism; monomorphism, approximate map; shape

Hrčak ID: 183132

URI
https://hrcak.srce.hr/183132

Posjeta: 291 *