# On fuzzy β-compact spaces and fuzzy β-extremally disconnected spaces

Ganesan Balasubramanian

# Abstract:

The concept of fuzzy $\beta$-open set is introduced. Using fuzzy $\beta$-open sets the concepts of fuzzy $\beta$-compact spaces and fuzzy $\beta$-extremally disconnected spaces are introduced and some interesting properties of these spaces are investigated.

# Classification:

04A72, 54G05, 54A40