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#nested_interval_topology

Nested interval topology

In mathematics, more specifically general topology, the nested interval topology is an example of a topology given to the open interval (0,1), i.e. the set of all real numbers x such that 0 < x < 1. The open interval (0,1) is the set of all real numbers between 0 and 1; but not including either 0 or 1.

Thu 25th

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Nested interval topology Counterexamples in Topology List of topologies Compact space Completeness of the real numbers Bolzano–Weierstrass theorem Continuum (topology) Total order Partially ordered set Topological data analysis
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