# Adam Bartoš

bartos at math dot cas dot cz- a postdoc at the Institute of Mathematics of the Czech Academy of Sciences
- interested in generic mathematical structures / Fraïssé theory, category theory, mathematical logic, topology

## Recent materials

### Category-theoretic Fraïssé theory: an overview

- Abstract for my TACL 2024 – can be used as a quick summary of the abstract framework
- Slides for my TACL 2024 talk
- Slides for my invited talk for the Conference on Generic Structures
- Slides for my Warsaw seminar talk – a gentle introduction, some overlap with the previous

### Constructing compacta from posets and sequences of graphs

- Abstract for my CT 2024 poster – summarizes approches to projective Fraïssé theory
- Poster for CT 2024
- Slides for my Winter School 2024 talk on Fraïssé-like constructions of compacta
- Poster for the Workshop on the Frontiers of Set Theory

## Preprints

- A. Bartoš, T. Bice, A. Vignati.

*Generic Compacta from Relations between Finite Graphs: Theory Building and Examples*.

63 pages. [arXiv] - A. Bartoš, T. Bice, A. Vignati.

*Constructing Compacta from Posets*.

Accepted in Publ. Mat., 51 pages. [arXiv] - A. Bartoš, W. Kubiś

*Hereditarily indecomposable continua as generic mathematical structures*.

Submitted to Selecta Math. (N.S.), 64 pages. [arXiv] - A. Bartoš, T. Bice, K. Dasilva Barbosa, W. Kubiś.

*The weak Ramsey property and extreme amenability*.

Accepted in Forum Math. Sigma, 57 pages. [arXiv]

## Publications

- C. Bargetz, A. Bartoš, W. Kubiś, F. Luggin.

*Homogeneous isosceles-free spaces*.

Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118 (2024), 118, 32 pages. [DOI] [arXiv] - A. Bartoš, J. Bobok, P. Pyrih, S. Roth, B. Vejnar.

*Constant slope, entropy and horseshoes for a map on a tame graph*.

Ergodic Theory Dynam. Systems 40 (2020), no. 11, 2970–2994. [DOI] [arXiv] - A. Bartoš.

*Borel complexity up to the equivalence*.

Topology Appl. 270 (2020), 107042, 13 pages. [DOI] [arXiv] - A. Bartoš, J. Bobok, J. van Mill, P. Pyrih, B. Vejnar.

*Compactifiable classes of compacta*.

Topology Appl. 266 (2019), 106836, 25 pages. [DOI] [arXiv] - A. Bartoš.

*Tree sums of maximal connected spaces*.

Topology Appl. 252 (2019), 50–71. [DOI] [arXiv] - T. Banakh, A. Bartoš.

*Lower separation axioms via Borel and Baire algebras*.

Serdica Math. J. 44 (2018), 155–176. [PDF] [arXiv] - A. Bartoš, R. Marciňa, P. Pyrih, B. Vejnar

*Incomparable compactifications of the ray with Peano continuum as remainder*.

Topology Appl. 208 (2016), 93–105. [DOI] - A. Bartoš.

*On n-thin dense sets in powers of topological spaces*.

Comment. Math. Univ. Carolin. 57, 1 (2016), 73–82. [DOI]

## Thesis

My PhD thesis Families of connected spaces, supervised by Petr Simon and Benjamin Vejnar, and defended in September 2019, consists of the papers 4., 5., 6. and of an introduction providing more context and references. The following note summarizes an open question regarding our notion of compactifiable classes of compacta.