\(F\)-Dugundji spaces, \(F\)-Milutin spaces and absolute \(F\)-valued retracts

DOI10.1016/j.topol.2014.08.014zbMath1304.54036arXiv1401.2319OpenAlexW2593816530MaRDI QIDQ465846

Taras Banakh, Taras Radul

Publication date: 24 October 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2319

zbMATH Keywords

Dugundji spaceabsolute \(F\)-valued retractMilutin space

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Extension of maps (54C20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Preorders, orders, domains and lattices (viewed as categories) (18B35)

Related Items (5)

Equilibrium under uncertainty with fuzzy payoff ⋮ Games in possibility capacities with payoff expressed by fuzzy integral ⋮ Monads and tensor products ⋮ Idempotent measures: absolute retracts and soft maps ⋮ Absolute retracts and equiconnected monads

Cites Work

• Absolute retracts and equiconnected monads
• Uniform Eberlein compactifications of metrizable spaces
• Extenders and \(\varkappa\)-metrizable compacta
• Monads and tensor products
• Functional extenders and set-valued retractions
• Hyperspace as intersection of inclusion hyperspaces and idempotent measures
• An extension of Tietze's theorem
• Spaces and maps of idempotent measures
• Certain geometric properties of covariant functors
• On a problem of Pełczyński: Milutin spaces, Dugundji spaces and AE(0-dim)
• Probability measures in topology
• Extenders for vector-valued functions
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