Note on the Concept of Microscopic Measure in R

As is known 1], N= {v|1≤v<(ω)} is the non-Cantorian model of natural numbers in which (ω) denotes the galaxy of the infinite integer ω, and v<(ω) means that v<ω±n n∈N (set of ordinary natural numbers). All the infinite integers contained in N constitute the flying segment and may be denoted by N.It may be viewed that N is the telescopic contents of N when N is embedded and