✦ LIBER ✦

Coloured graphs representing manifolds and universal maps

✍ Scribed by Antonio F. Costa

Publisher: Springer
Year: 1988
Tongue: English
Weight: 398 KB
Volume: 28
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00182402

No coin nor oath required. For personal study only.

✦ Synopsis

By techniques of maps on surfaces and coloured maps representing manifolds we describe a family of pseudocomplexes K(m, n) which satisfy the following property: To every closed, orientable, P.L., (m -1)-manifold (m >1 3), M, there is associated an even inteoer I(M), such that for each even n >1 I(M), M is the quotient of K(m, n) by the action of a finite index subgroup, N, of a crystallographic group with signature (0; [n/2,.~..,n/2]). Other related results are also established.

📜 SIMILAR VOLUMES

Representing products of manifolds by ed

Representing products of manifolds by edge-coloured graphs: the boundary case

✍ Paola Bandieri; Marzia Rivi 📂 Article 📅 2001 🏛 Springer-Verlag 🌐 French ⚖ 295 KB

Neuwirth manifolds and colourings of gra

Neuwirth manifolds and colourings of graphs

✍ Alberto Cavicchioli 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 79 KB

Neuwirth manifolds and colourings of gra

Neuwirth manifolds and colourings of graphs

✍ Alberto Cavicchioli 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 916 KB

Coloured knots and coloured graphs repre

Coloured knots and coloured graphs representing 3-fold simple coverings of %plane1D;54A;3

✍ Mari Rita Casali 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 525 KB

It is well-known that every closed orientable 3-manifold M 3 is the 3-fold simple covering M3(K,o)) of S 3 branched over a knot K: hence, M 3 may be visualized by the associated coloured knot (K, co). On the other hand, PL-manifolds of arbitrary dimension may be represented by coloured graphs, via p