A one-point compactification for lattice-valued convergence spaces

作者：Jaeger Gunther

来源：Fuzzy Sets and Systems, 2012, 190: 21-31.

DOI：10.1016/j.fss.2011.06.007

• L-fuzzy convergence
• L-topology
• L-filter
• L-convergence space
• Compactness
• One-point compactification
• Richardson compactification
• Roundedness
• Local boundedness

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.

• 出版日期2012-3-1