Contact Information
Department of Mathematics and Computer Science
Universitat de Barcelona, Gran Via de les Corts Catalanes 585 08007 Barcelona, Catalonia
bergfalk(a)ub.edu
My profile
I am interested in a growing body of mathematics at the interface of set theory and algebraic topology, broadly understood. A persistent focus, for example, is the infinitary combinatorics of derived ...
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I am interested in a growing body of mathematics at the interface of set theory and algebraic topology, broadly understood. A persistent focus, for example, is the infinitary combinatorics of derived categories and, reciprocally, the cohomological behaviors of the transfinite. This is a mathematics with implications for concrete and longstanding questions in both fields including, most recently, the additivity problem for strong homology and related derived limits, and it tends to freshen and expand our notions of dimension in both areas. More lately, I am interested in its bearing on problems of categorical localization- info
Relevant publications (Journal Publications and Other publications - last 10 years)
Jeffrey Bergfalk(2021).
The first omega alephs: from simplices to trees of trees to higher walks.Advances in Mathematics, 383(paper 108083), p. 74 pages
. doi.org/10.1016/j.aim.2021.108083 (Online at http://doi.org/10.1016/j.aim.2021.108083). ISSN: 0001-8708Jeffrey Bergfalk; Chris Lambie-Hanson(2021).
Simultaneously vanishing higher derived limits.Forum Of Mathematics Pi, E(4), pp. 1 - 31
. Online at doi.org/10.1017/fmp.2021.4 (https://doi.org/10.1017/fmp.2021.4 ). ISSN: 2050-5086Jeffrey Bergfalk; Michael Hru¿ák; and Chris Lambie-Hanson(2022).
Simultaneously vanishing higher derived limits without large cardinals.Journal Of Mathematical Logic
. Online at doi.org/10.1142/S0219061322500192 (https://doi.org/10.1142/S0219061322500192). ISSN: 0219-0613Jeffrey Bergfalk; Vera Fischer; and Corey Switzer(2021).
Projective well-orders and coanalytic witnesses.Annals of Pure and Applied Logic, 173(8), p. 19 pages
. Online at doi.org/10.1016/j.apal.2022.103135 (https://doi.org/10.1016/j.apal.2022.103135). ISSN: 0168-0072Jeffrey Bergfalk; Michael Hru¿ák; and Saharon Shelah(2020).
Ramsey theory for highly connected monochromatic subgraphs.Acta Mathematica Hungarica, 163(1), pp. 309 - 322
. Online at doi.org/10.1007/s10474-020-01058-x (http://doi.org/10.1007/s10474-020-01058-x). ISSN: 0236-5294