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Cohomological Constructions of Regular Cyclic Coverings of the Platonic Maps

✍ Scribed by David B. Surowski; Gareth A. Jones

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 169 KB
Volume: 21
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1999.0331

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✦ Synopsis

In [5] we described the regular maps and hypermaps which are cyclic coverings of the Platonic maps, branched over the face centers, vertices or midpoints of edges. Here we determine cochains by which these coverings can be explicitly constructed.

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Regular Cyclic Coverings of the Platonic

Regular Cyclic Coverings of the Platonic Maps

✍ Gareth A. Jones; David B. Surowski 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 142 KB

We use homological methods to describe the regular maps and hypermaps which are cyclic coverings of the Platonic maps, branched over the face centers, vertices or midpoints of edges.