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국가지식-학술정보

DIGITAL (k<sub>0</sub>,k<sub>1</sub>)-COVERING MAP AND ITS PROPERTIES

DIGITAL (k<sub>0</sub>,k<sub>1</sub>)-COVERING MAP AND ITS PROPERTIES

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The aim of this paper is to introduce a digital $({\kappa}_0,\;{\kappa}_1)$-covering map and a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism. And further, we show that a digital $({\kappa}_0,\;{\kappa}_1)$-covering map is a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism and the converse does not hold. Finally, some property of a digital covering map is investigated with relation to some restriction map. Furthermore, we raise an open problem with relation to the product covering map.

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