Manifold Atlas: Instructions for writing

This page describes the scientific writing style of the Manifold Atlas.

1 Scientific style

• The Manifold Atlas aims to be an reliable scientific reference for researchers and students of manifolds.

• Please write rigorously and clearly for a topologically literate audience:
  • i.e. assume that your reader has taken relevant introductory graduate level courses for the area you are covering.

• Please give proofs or references to peer-reviewed journals for all non-elementary statements.

• As far as possible define the terms and concepts you use:
  • a quick way to achieve this is to hyperlink to Wikipedia or another web resource if the term is adequately defined.

• For articles in the Manifolds chapter please review the suggested structure.

2 Hyperlinks

• A well-written article will find a good balance between the following extremes:
  • too few hyperlinks and your document is somewhat of a dead-end,
  • too many hyperlinks make texts hard to read and can distract the reader.
• Here are some guides for hyperlinking:
  • you can use hyperlinks to both defined and emphasis key concepts,
  • you only need to link a give page once per page or section, unless emphasis is sought,
  • broken hyperlinks, appearing in red, can be useful: they indicate pages you think should exist but don't right now.
  • for ease of writing on your first draft, simply write your hyperlink as intended link: later on you, or other users, can fill in the links to make them active.

2.1 Wikipedia

• Wikipedia:Wikipedia already contains a great wealth of mathematical articles and there is not point in duplicating this content.
• Atlas articles will differ from Wikipedia articles in that they assume a higher level of mathematical background and will typically discuss manifolds in greater depth and with greater precesion than Wikipedia.
• A good heuristic for linking to Wikipedia is the following:
  • use Wikipedia links to define concepts but,
  • do not reference Wikipedia for mathematical facts - for these refer to the peer-reviewed journals.
• We hope that there will be a positive synergy between Wikipedia and the Atlas:
  • Atlas authors may wish to improve to and to Wikipedia articles to define the terms they use,
  • hopefully in time, Wikipedia can reference articles in the Atlas.