activity
20122024
most citedTowards a Ryll-Nardzewski-type Theorem for weakly oligomorphic structures

12 citations · 36 across the 12 of their papers we have counts for

collaborators

12 papers

math.CO2024

The classification of homomorphism homogeneous oriented graphs

Bojana Pavlica, Christian Pech, Maja Pech

The modern theory of homogeneous structures begins with the work of Roland Fraïssé. The theory developed in the last seventy years is placed in the border area between combinatoric…

math.LO2023

Echeloned Spaces

Maxime Gheysens, Bojana Pavlica, Christian Pech +2

We introduce the notion of echeloned spaces - an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morp…

math.RA2023

On -ary parts of maximal clones

Dragan Mašulović, Maja Pech

The main problem of clone theory is to describe the clone lattice for a given basic set. For a two-element basic set this was resolved by E.L. Post, but for at least three-element…

math.LO2023

Homogeneous ultrametric structures

W. Kubiś, Ch. Pech, M. Pech

We develop the theory of homogeneous Polish ultrametric structures. Our starting point is a Fraisse class of finite structures and the crucial tool is the universal homogeneous epi…

math.CO2018

On a family of highly regular graphs by Brouwer, Ivanov, and Klin

Christian Pech, Maja Pech

Highly regular graphs for which not all regularities are explainable by symmetries are fascinating creatures. Some of them like, e.g., the line graph of W.~Kantor's non-classical $…

math.LO2017

Reconstructing the topology of the elementary self-embedding monoids of countable saturated structures

Christian Pech, Maja Pech

Every transformation monoid comes equipped with a canonical topology-the topology of pointwise convergence. For some structures, the topology of the endomorphism monoid can be reco…