Commit 2024-12-02 11:59 7b33f44e
View on Github →feat(RingTheory.MvPowerSeries.Topology): define the product topology on mv power series (#14866)
Let R
be with Semiring R
and TopologicalSpace R
In this file we define the topology on MvPowerSeries σ R
that corresponds to the simple convergence on its coefficients,
aka the product topology.
It is the coarsest topology for which all coefficients maps are continuous.
When R
has UniformSpace R
, we define the corresponding uniform structure.
When the type of coefficients has the discrete topology,
it corresponds to the topology defined by [bourbaki1981], chapter 4, §4, n°2
Coauthored with María Inés de Frutos Fernández @mariainesdff