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DTC CS 3 - Beyond sigma-frames to make formal topology applicable to descriptive set theory

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  • Full or part time
    Dr A.M Pauly
    Dr A G Setzer
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

In formal topology, the notion of a frame is studied as an abstraction of the collection of open subsets of a topological space. While the opens of a frame are closed under arbitrary unions and finite intersections, this is relaxed to closure under countable unions and finite intersection to obtain the notion of a sigma-frame. In this project, variations of frames with specific closure properties will be studied in order to make formal topology applicable to descriptive set theory.

Entry requirements

Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit). Informal enquiries are welcome by emailing the project supervisor.

For candidates whose first language is not English, we require IELTS 6.5 (with 6.0 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.

How to apply

Visit our webpage for details - http://www.swansea.ac.uk/science/research/dtc/biosciences-projects-2018-19/

Please include the project ID and title in your email subject header (eg. DTC CS xxxxxx)

Funding Notes

Student Finance England have announced plans to offer student loans for PhD level courses from September 2018 for courses at any PhD awarding university (including Swansea University). Full details are still to be confirmed. Visit our website for updated information. – http://www.swansea.ac.uk/postgraduate/fees-and-funding/pg-loans/



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