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name: New Theorem Suggestion | ||
about: Template to propose a new theorem | ||
title: 'Theorem Suggestion: [description]' | ||
labels: '' | ||
assignees: '' | ||
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--- | ||
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*Modify the below template for your theorem suggestion:* | ||
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## Theorem Suggestion | ||
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If a space is: | ||
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- [P1](https://topology.pi-base.org/properties/P000001) | ||
- [P2](https://topology.pi-base.org/properties/P000002) | ||
- not [P3](https://topology.pi-base.org/properties/P000003) | ||
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then it is [P4](https://topology.pi-base.org/properties/P000004). | ||
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## Rationale | ||
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This theorem would demonstrate that no spaces satisfy the following search: | ||
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https://topology.pi-base.org/spaces?q=%24T_0%2B%24T_1%24%2B~%24T_2%24%2B~%24T_%7B2%20%5Cfrac%7B1%7D%7B2%7D%7D%24 | ||
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## Proof/References | ||
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The result is trivial and essentially shown on page XYZ of Willard's topology, but was also discussed at [this Math.StackExchange post](https://math.stackexchange.com/questions/4778063). |