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by g33n
4249 days ago
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From my recollection of topology, finite spaces are mostly useful as demonstrations or counter-examples. So, to illustrate a point about why something isn't true, you might break out a finite space to provide an easy-to-understand means of grasping the counter-example (there's an entire book called Counterexamples in Topology for this purpose). "Real work" in topology generally involves infinite spaces, though. |
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