manifold atlas

Stream: maths

[Yury G. Kudryashov]

Hi @Sebastien Gouezel. Sorry if I've already asked this before. Why did you chose to have docs#charted_space.atlas? Is it better than dealing with docs#charted_space.chart_at only?

[Sebastien Gouezel]

I am thinking of situations where there is a natural atlas, but where the elements of this atlas are not naturally parameterized by points in the manifold. Then having only the chart_at as members of the atlas would be very artificial.

[Yury G. Kudryashov]

What about using default/auto arguments?

[Sebastien Gouezel]

If you encounter situations where they would be useful, yes, sure. But I feel in most situations there will be a nicer description than indexing by the points in the manifold, so I don't envision the default argument being used often. Are you thinking of a particular example?