Results 51 to 60 of about 10,259 (205)
A counterexample to the reconstruction of $\omega$-categorical structures from their endomorphism monoids [PDF]
, 2016 We present an example of two countable $\omega$-categorical structures, one of which has a finite relational language, whose endomorphism monoids are isomorphic as abstract monoids, but not as topological monoids -- in other words, no isomorphism between
Bodirsky, Manuel +3 more
core +2 more sources
Reconstructing the Topology on Monoids and Polymorphism Clones of the Rationals [PDF]
Studia Logica, 2016 We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the rational numbers under the reflexive relation. In addition we show how automatic homeomorphicity results can be lifted to polymorphism clones generated by monoids.
Mike Behrisch +2 more
openaire +4 more sources
On subtrees of the representation tree in rational base numeration systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Every rational number p/q defines a rational base numeration system in which every integer has a unique finite representation, up to leading zeroes. This work is a contribution to the study of the set of the representations of integers.
Shigeki Akiyama +2 more
doaj +1 more source
Topologies for the free monoid
Journal of Algebra, 1991 The finite group (or profinite) topology was first introduced for the free group by M. Hall Jr. and by Reutenauer for free monoids. This is the initial topology defined by all the monoid morphisms from the free monoid into a discrete finite group. The p-adic topology is defined in the same way by replacing "group" by "p-group" in the definition.
openaire +3 more sources
Topologizations of a set endowed with an action of a monoid
Topology and its Applications, 2014 10 ...
Ol'ga V. Sipacheva +3 more
openaire +3 more sources
On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero
Topological Algebra and its Applications, 2022 Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
doaj +1 more source
Relative category and monoidal topological complexity
Topology and its Applications, 2014 If a map $f$ has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of $f$ are the same. In this work we discuss this conjecture for some lower bounds of these invariants. In particular, when we consider the diagonal map, we obtain results supporting Iwase-Sakai's conjecture which ...
Carrasquel-Vera, J. G. +2 more
openaire +4 more sources
On the lattice of weak topologies on the bicyclic monoid with adjoined zero [PDF]
Algebra and Discrete Mathematics, 2020 A Hausdorff topology τ on the bicyclic monoid with adjoined zero C0 is called weak if it is contained in the coarsest inverse semigroup topology on C0. We show that the lattice W of all weak shift-continuous topologies on C0 is isomorphic to the lattice SIF1×SIF1 where SIF1 is the set of all shift-invariant filters on ω with an attached element 1 ...
Bardyla, S., Gutik, O.
openaire +3 more sources
A topological characterisation of endomorphism monoids of countable structures [PDF]
Algebra universalis, 2017 A topological monoid is isomorphic to an endomorphism monoid of a countable structure if and only if it is separable and has a compatible complete ultrametric such that composition from the left is non-expansive. We also give a topological characterisation of those topological monoids that are isomorphic to endomorphism monoids of countable omega ...
Friedrich Martin Schneider +1 more
openaire +4 more sources
Topological Hochschild homology of Thom spectra and the free loop space
, 2008 We describe the topological Hochschild homology of ring spectra that arise as Thom spectra for loop maps f: X->BF, where BF denotes the classifying space for stable spherical fibrations.
Andrew J Blumberg +23 more
core +1 more source