*Definition 1:*

When a space *AN* is viewed as the product of infinitely many copies of *A* with discrete topology and is completely metrizable and if *A* is countable then the space is said to be polish.

Two cases are of considerable importance.

*Definition 2:* 

When a space is polish and when *A = 2 = [0,1],* then we call *C= 2N* the Cantor space.

*Definition 3:* 

When a space is polish and when *A = N* then we call *B* = *NN* the Baire space.

Now we can proceed to explain the relationship between the Cantor space and Cantorian space-time. The relationship comes from the solution of the cardinality problem of a Borel set in polish spaces. Thus, we call a subset of a topological space a Cantor set if it is homeomorphic to a Cantor space [16, 17].
