12 citations · 36 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
Polymorphism clones of homogeneous structures (Universal homogeneous polymorphisms and automatic homeomorphicity)
Christian Pech, Maja Pech
Every clone of functions comes naturally equipped with a topology---the topology of pointwise convergence. A clone is said to have automatic homeomorphicity with res…
On automatic homeomorphicity for transformation monoids
Christian Pech, Maja Pech
Transformation monoids carry a canonical topology --- the topology of point-wise convergence. A closed transformation monoid is said to have automatic homeomorphicit…
On polymorphism-homogeneous relational structures and their clones
Christian Pech, Maja Pech
A relational structure is homomorphism-homogeneous if every homomorphism between finite substructures extends to an endomorphism of the structure. This notion was introduced recent…
Towards a Ryll-Nardzewski-type Theorem for weakly oligomorphic structures
Christian Pech, Maja Pech
A structure is called weakly oligomorphic if it realizes only finitely many n-ary positive existential types for every n. The goal of this paper is to show that the notions of homo…
Universal homogeneous constraint structures and the hom-equivalence classes of weakly oligomorphic structures
Christian Pech, Maja Pech
We derive a new sufficient condition for the existence of ω-categorical universal structures in classes of relational structures with constraints, augmenting results by Cherlin, Sh…