The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
We investigate the lattice structure of the set of box topologies within the lattice of all topologies of a cartesian power for a given set and find out that it is a sub-V-semilattice but not, in general, a sublattice. Further we show that it is a sublattice iff the given set is finite. Starting from these results we remark that the set of all topologies compatible with a given algebra is a complete semilattice but not, in general, a lattice.
We first extend, in the strongest possible way, a necessary condition for compatibility of a topology with an algebra obtained by the first author in a previous paper [14]: this extension is not yet sufficient for compatibility and so another approach to the characterization problem for compatibility is needed. An attempt in a new direction turns out to be successful but in an excessively general frame: in fact it leads to a new (as far as we know) characterization of continuity of a function between...
Download Results (CSV)