a net is a net is a net, i bet!

i'm currently LaTeχing a revision of a manuscript, and now there are problems with terminology ..

i just realised that i'm using the term "net" in two different senses:

1. from topology, a net is a generalisation of a sequence: the index set no longer consists of integers, but an arbitrary directed set but not necessarily a poset.  (the usual example consists of subsets of a fixed set that are partially ordered by inclusion, but not necessarily totally so.)
   
2. an ε-net (with ε positive), on the other hand, is a notion from metric geometry: roughly speaking, it is a locally finite approximation of a metric space.

it's not that much of an annoyance: for each ε-net of a doubling space, i'm constructing an approximation f_ε of a fixed Lipschitz function f.

in other words, i'm building a net from a net of nets!

*grins*
 ..
*frowns*
*sighs*

sometimes we mathematicians have to be more inventive with terminology ..!