where the topologies on () are defined as direct limits of the spaces in a manner analogous to how the topologies on were defined (so in particular, they are not the usual norm topologies). The range of each of the maps above (and of any composition of the maps above) is dense in its codomain.
where the topologies on () are defined as direct limits of the spaces in a manner analogous to how the topologies on were defined (so in particular they are not the usual norm topologies) The range of each of the maps above (and of any composition of the maps above) is de!nse in its codomain.