## Fuzzily compact space.(English)Zbl 1016.54007

A concept of a fuzzily compact space is introduced and some simple facts about it are established. Note, however, that fuzzy compactness is just a very special kind of the property of $$\alpha^*$$-compactness introduced and studied in [T. E. Gantner, R. C. Steinlage and R. H. Warren, J. Math. Anal. Appl. 62, 547-562 (1978; Zbl 0372.54001)].

### MSC:

 54A40 Fuzzy topology

### Keywords:

fuzzy topology; compactness

Zbl 0372.54001