Bringing set theory and algebraic topology together.

  • Rasappan, Ramesh (Principal Investigator)

Project Details

Layman's description

Set theory and algebraic topology have previously been almost disjoint areas of mathematics. Set theory studies the basic notion of a set of things, with much work for example on what assumptions one can consistently make about infinity. Algebraic topology studies spaces like spheres and donuts by associating algebraic structures to them. This project aims to bring the two areas together, applying tools and techniques from set theory to problems in algebraic topology.
StatusFinished
Effective start/end date21/10/1320/06/16

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  • Research Output

    • 2 Article (Academic Journal)
    • 1 Conference Contribution (Conference Proceeding)
    • 1 Book/Film/Article review (Academic Journal)

    Accessible Images Revisited

    Brooke-Taylor, A. D. & Rosicky, J., Mar 2017, In : Proceedings of the American Mathematical Society. 145, 3, p. 1317-1327 11 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
    File
  • 3 Citations (Scopus)
    243 Downloads (Pure)

    Cardinal characteristics at κ in a small u(κ) model

    Brooke-Taylor, A. D., Fischer, V., Friedman, S-D. & Montoya, D., Jan 2017, In : Annals of Pure and Applied Logic. 168, 1, p. 37–49 13 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
    File
  • 167 Downloads (Pure)

    An analogy between cardinal characteristics and highness properties of oracles

    Brooke-Taylor, A. D., Brendle, J., Ng, K. M. & Nies, A., 1 May 2015, Proceedings of the 13th Asian Logic Conference: Guangzhou, China, 16 – 20 September 2013. World Scientific Publishing Co., p. 1-28 28 p.

    Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

  • Activities

    • 15 Invited talk
    • 1 Fellowship awarded competitively

    Midlands Logic Seminar

    Andrew D Brooke-Taylor (Speaker)

    27 Jan 2015

    Activity: Participating in or organising an event typesInvited talk

    Warwick Mathematics and Philosophy talk: Computing from oracles and uncountable cardinals

    Andrew D Brooke-Taylor (Speaker)

    26 Jan 2015

    Activity: Participating in or organising an event typesInvited talk

    Freiburg Research Seminar in Mathematical Logic talk: Cardinal characteristics at supercompact kappa in the small u(kappa), large 2^kappa model

    Andrew D Brooke-Taylor (Speaker)

    14 Jan 2015

    Activity: Participating in or organising an event typesInvited talk