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space is the (closed) unit interval of real numbers. If one chooses an infinite number of distinct points in the unit interval, then there must be some accumulation point among these points in that interval. For instance, the odd-numbered terms of the sequence 1, {{sfrac, sfrac|1|3}}, sfrac|3|4}}, sfrac|1|5}}, sfrac|5|6}}, sfrac|1|7}}, sfrac|7|8}}, ...}} get arbitrarily close to 0, while the even-numbered ones get arbitrarily

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