Digital Cofibration and Digital Lusternik-Schnirelmann Category in the Sense of Subdivision

Abstract

In this paper, using the notion of subdivision, the authors generalize the definition of cofibration in digital topology and show that this kind of cofibration is injective in the sense of subdivision. Meanwhile, they give the necessary condition under which a digital map is a cofibration. Furthermore, they consider the Lusternik-Schnirelmann category of digital maps in the sense of subdivision and give several fundamental homotopy properties about it.

Keywords

Digital topology / Digital cofibration / Lusternik-Schnirelmann category

References

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