Homotopy properties of the space \(I_f(X)\) of idempotent probability measures

DOI10.1134/S0001434619090244zbMath1462.54017OpenAlexW2981500396WikidataQ126991631 ScholiaQ126991631MaRDI QIDQ2291214

A. Ya. Ishmetov, A. A. Zaitov

Publication date: 30 January 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619090244

zbMATH Keywords

shapeabsolute neighborhood retractcompact spaceidempotent measure

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Topological linear spaces and related structures (46A99)

Related Items (9)

Unnamed Item ⋮ Geometrical properties of the space of idempotent probability measures ⋮ On \(Z\)-sets in the space of idempotent probability measures ⋮ THE FUNCTOR OF IDEMPOTENT PROBABILITY MEASURES AND MAPS WITH UNIFORMITY PROPERTIES OF UNIFORM SPACES ⋮ When is the space of semi-additive functionals an absolute (neighbourhood) retract? ⋮ Dugundji compacta and the space of idempotent probability measures ⋮ Functor of idempotent probability measures with compact support and open mappings ⋮ On the dimension of the space of weakly additive functionals ⋮ On some properties of infinite iterations of the functor of idempotent probability measures

Cites Work

• Dynamic economic theory. A viability approach
• Max-plus algebra and mathematical fear in dynamic optimization
• Idempotent measures: absolute retracts and soft maps
• Spaces and maps of idempotent measures
• Probability measures in topology
• Idempotent Mathematics and Mathematical Physics
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