| 1. | Notice that each stalk has the discrete topology as subspace topology.
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| 2. | The cocountable topology on a countable set is the discrete topology.
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| 3. | On J _ K, we install the discrete topology.
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| 4. | The natural topology on S is the discrete topology.
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| 5. | This is a countable space, and it does not have the discrete topology.
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| 6. | Any group can be given the discrete topology.
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| 7. | The trivial and discrete topologies both fit your axioms, just to name two easy examples.
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| 8. | Every subset of "'R "'is clopen with respect to the discrete topology.
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| 9. | To define the "'discrete topology "', we declare all sieves to be covering sieves.
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| 10. | For example, let " G " be the group with two elements, under the discrete topology.
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