A one-point compactification for lattice-valued convergence spaces
We define a lattice-valued one-point compactification for a non-compact lattice-valued T2-space and find criteria when it is smaller than another T2-compactification of the same space. Also the concept of local boundedness is introduced and characterized using the lattice-valued one-point compactification and the lattice-valued Richardson compactification. (C) 2011 Elsevier B.V. All rights reserved.
one-point compactification local boundedness richardson compactification l-fuzzy convergence l-topology l-filter l-convergence space compactness roundedness