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pro vyhledávání: '"Pech Maja"'
The modern theory of homogeneous structures begins with the work of Roland Fra\"iss\'e. The theory developed in the last seventy years is placed in the border area between combinatorics, model theory, algebra, and analysis. We turn our attention to i
Externí odkaz:
http://arxiv.org/abs/2403.04393
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 morphisms between metrizable echeloned spaces are uniformly continuous or
Externí odkaz:
http://arxiv.org/abs/2312.11141
Autor:
Mašulović, Dragan, Pech, Maja
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 basic set the full structure of the lattice is still unknown, and the
Externí odkaz:
http://arxiv.org/abs/2304.01739
Autor:
Pech, Christian, Pech, Maja
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 $\mathrm{GQ}(5^2,5)$, are stumbling stones for existing implementations
Externí odkaz:
http://arxiv.org/abs/1807.10525
Autor:
Pech, Christian, Pech, Maja
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 reconstructed from its underlying abstract monoid. This phenomenon is call
Externí odkaz:
http://arxiv.org/abs/1703.07429
Akademický článek
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Autor:
Pech, Christian, Pech, Maja
Every clone of functions comes naturally equipped with a topology---the topology of pointwise convergence. A clone $\mathfrak{C}$ is said to have automatic homeomorphicity with respect to a class $\mathcal{C}$ of clones, if every clone-isomorphism of
Externí odkaz:
http://arxiv.org/abs/1502.07769
Autor:
Pech Maja
In this thesis local methods are made available as a tool to study theunary parts of clones (or, equivalently, the weak Krasner algebras). Using thelanguage of model theory and Galois connections we develop a link betweenhomomorphism-homogeneous rela
Publikováno v:
In European Journal of Combinatorics October 2020 89
Autor:
Pech, Christian, Pech, Maja
Transformation monoids carry a canonical topology --- the topology of point-wise convergence. A closed transformation monoid $\mathfrak{M}$ is said to have automatic homeomorphicity with respect to a class $\mathcal{K}$ of structures, if every monoid
Externí odkaz:
http://arxiv.org/abs/1409.0841