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Thomas Jan Mikhail

4 papers hereh-index 16 citations4 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author1
  • last author3

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.AT2
  • math.CT2

identity via Semantic Scholar / OpenAlex

most citedFuzzy simplicial sets and their application to geometric data analysis

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.AT2026★ 2 cited

Fuzzy simplicial sets and their application to geometric data analysis

Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad +3

In this article, we expand upon the concepts introduced by David Spivak about the relationship between the category UM of uber metric spaces and the category $\mathbf{sF…

math.CT2025

A type-theoretic definition of lax (∞,∞)-limits

Thomas Jan Mikhail

We introduce and study a purely syntactic notion of lax cones and (∞,∞)-limits on finite computads in \texttt{CaTT}, a type theory for (∞,∞)-categories due…

math.CT2025

Abacus bicomodule configurations and the Bergner-Osorno-Ozornova-Rovelli-Scheimbauer equivalence

Joachim Kock, Thomas Jan Mikhail

A theorem of Bergner, Osorno, Ozornova, Rovelli, and Scheimbauer states an equivalence between 2-Segal spaces and certain augmented stable double Segal spaces. In this paper we est…

math.AT2025

Free loop spaces and the Cauchy--Frobenius Lemma

Joachim Kock, Thomas Jan Mikhail

We upgrade the Cauchy--Frobenius Lemma (`Burnside's Lemma') to a homotopy equivalence of ∞-groupoids, essentially given by double counting/Fubini in the free loop space of t…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.