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Which of the following number is represented by point "A" on the given number Line?
a. -9 b. 5 c. -5 d. -6
Answers
Answer:
Number line kidhar hai?
Answer:
Approaches to Constructive Topology
One of the basic results of classical point set topology is the Heine-Borel theorem (HBT): if a set of open intervals covers the closed unit interval [0,1], then already finitely many of them cover the interval; in other words, [0,1] is open-cover compact. Within INT the theorem is still valid by an appeal to the full fan theorem (Dummett [2000]). Moerdijk [1984] has shown that HBT is strictly weaker than the full fan theorem, but we do not know of any natural fan theorem to which the Heine-Borel theorem is equivalent relative to BISH. HBT is one example of how fan theorems facilitate the development of topology within INT; see also Troelstra [1978] and Waaldijk [1996]. However the effectivity of HBT can be called into question, as within RUSS the existence of ε-singular covers (see Section 3.2 above) provides a strong recursive counterexample to the theorem.
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