View Proposal
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Proposer
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Dash Swaraj
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Title
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Improving usability of the π-base project (a database of topological spaces and theorems)
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Goal
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To visualise the transitive closure of all implications that can lead to a certain property
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Description
- π-base is an extensive database of topological spaces and theorems. It is of use to mathematicians looking to find:
1. examples of topological spaces satisfying certain properties,
2. theorems that can help them deduce other properties of their spaces, and
3. counter-examples to conjectures.
Currently it lists theorems such as "if your space has property A then it has property B", "if your space has property ¬C & D then it has property B", etc. It would be nice to add new functionality to this website so that a user can list a property they want to prove and it can give them a tree of all the sequences of theorems they may need in order to prove it.
This would be a useful project for someone interested in typescript, web programming, and someone wanting to contribute to an open source project.
- Resources
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Background
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Url
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External Link
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Difficulty Level
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Moderate
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Ethical Approval
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None
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Number Of Students
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1
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Supervisor
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Swaraj Dash
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Keywords
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Degrees
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Bachelor of Science in Computer Science
Bachelor of Science in Computer Systems