Results 1 to 10 of about 64 (62)

Order extension of order monomorphisms on a preordered topological space [PDF]

International Journal of Mathematics and Mathematical Sciences, 1993
The well-known extension theorem of \textit{L. Nachbin} [Topology and order (1965; Zbl 0131.379), p. 36] gives conditions under which a real-valued continuous order-homomorphism defined on a closed subset of a normally preordered space \(E\) can be extended to a real-valued continuous order- homomorphism on the whole space.
openaire   +4 more sources

Preorderable topologies and order-representability of topological spaces

Topology and its Applications, 2009
A total preorder is called continuous (resp. semicontinuous) with respect to a given topology provided that the order topology (resp. lower or upper topology) induced by the total preorder is coarser than the given topology. Topologies that coincide with the order topology (resp.
Campión, María Jesús, Candeal, Juan Carlos, Induráin, Esteban   +2 more
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Separation axioms in topological preordered spaces and the existence of continuous order-preserving functions

Applied General Topology, 2000
We characterize the existence of a real continuous order-preserving function on a topological preordered space, under the hypotheses that the topological space is normal and the preorder satisfies a strong continuity assumption, called IC-continuity. Under the same continuity assumption concerning the preorder, we present a sufficient condition for the
BOSI, GIANNI, ISLER, ROMANO
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Representing preorders with injective monotones. [PDF]

Theory Decis, 2022
Hack P, Braun DA, Gottwald S.
europepmc   +1 more source

Universal Causality. [PDF]

Entropy (Basel), 2023
Mahadevan S.
europepmc   +1 more source

Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. [PDF]

J Appl Comput Topol, 2023
Lipiński M, Kubica J, Mrozek M, Wanner T.   +3 more
europepmc   +1 more source

A relational approach to consciousness: categories of level and contents of consciousness. [PDF]

Neurosci Conscious, 2021
Tsuchiya N, Saigo H.
europepmc   +1 more source

Going Beyond the Data as the Patching (Sheaving) of Local Knowledge. [PDF]

Front Psychol, 2018
Phillips S.
europepmc   +1 more source

Decomposition of Zero-Dimensional Persistence Modules via Rooted Subsets. [PDF]

Discrete Comput Geom
Alonso ÁJ, Kerber M.
europepmc   +1 more source

Morse Predecomposition of an Invariant Set. [PDF]

Qual Theory Dyn Syst
Lipiński M, Mischaikow K, Mrozek M.
europepmc   +1 more source