Karol Szumiło

Publications and preprints

Two Models for the Homotopy Theory of Cocomplete Homotopy Theories
doctoral thesis under supervision of Stefan Schwede
University of Bonn (2014) • full version • abridged version

Homotopy Theory of Cofibration Categories
revised Chapter 1 of my thesis
Homology, Homotopy and Applications (2016) • article • MR

Frames in Cofibration Categories
revised Chapter 3 of my thesis
Journal of Homotopy and Related Structures (2017) • article • MR

Homotopy Theory of Cocomplete Quasicategories
revised Chapters 2 and 4 of my thesis
Algebraic & Geometric Topology (2017) • article • MR

Quasicategories of Frames of Cofibration Categories
with Chris Kapulkin
Applied Categorical Structures (2017) • article • preprint • MR

Localization of Cofibration Categories and Groupoid C*-algebras
with Markus Land and Thomas Nikolaus
Algebraic & Geometric Topology (2017) • article • preprint • MR

Internal Languages of Finitely Complete (∞,1)-categories
with Chris Kapulkin
Selecta Mathematica (2019) • article • preprint • MR

The Constructive Kan–Quillen Model Structure: Two New Proofs
with Nicola Gambino and Christian Sattler
The Quarterly Journal of Mathematics (2022) • article • preprint • MR

The Effective Model Structure and ∞-groupoid Objects
with Nicola Gambino, Simon Henry and Christian Sattler
Forum of Mathematics, Sigma (2022) • article • preprint • MR