While it's correct that one shouldn't generally add stuff to the std:: namespace, adding template specializations for user-defined types is specifically allowed. Overloading the functions is not. This is a subtle difference :-)
17.4.3.1/1
It is undefined for a C++ program to add declarations or definitions
to namespace std or namespaces with namespace std unless otherwise
specified. A program may add template specializations for any
standard library template to namespace std. Such a specialization
(complete or partial) of a standard library results in undefined
behaviour unless the declaration depends on a user-defined name of
external linkage and unless the template specialization meets the
standard library requirements for the original template.
A specialization of std::swap would look like:
namespace std
{
template<>
void swap(myspace::mytype& a, myspace::mytype& b) { ... }
}
Without the template<> bit it would be an overload, which is undefined, rather than a specialization, which is permitted. @Wilka's suggest approach of changing the default namespace may work with user code (due to Koenig lookup preferring the namespace-less version) but it's not guaranteed to, and in fact isn't really supposed to (the STL implementation ought to use the fully-qualified std::swap).
There is a thread on comp.lang.c++.moderated with a long dicussion of the topic. Most of it is about partial specialization, though (which there's currently no good way to do).