Reflexive families of closed sets

• Autorzy: Zhongqiang Yang , Dongsheng Zhao
• Języki publikacji: EN

Abstrakty

EN

Let S(X) denote the set of all closed subsets of a topological space X, and C(X) the set of all continuous mappings f:X → X. A family 𝓐 ⊆ S(X) is called reflexive if there exists ℱ ⊆ C(X) such that 𝓐 = {A ∈ S(X): f(A) ⊆ A for every f ∈ ℱ}. We investigate conditions ensuring that a family of closed subsets is reflexive.

Kategorie tematyczne

• 54E45: Compact (locally compact) metric spaces
• 54C05: Continuous maps
• 47A15: Invariant subspaces
• 54D05: Connected and locally connected spaces (general aspects)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 192
• Numer: 2
• Strony: 111-120

Daty

wydano

2006

Twórcy

autor

Zhongqiang Yang

• Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, P.R. China

autor

Dongsheng Zhao

• Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616

Identyfikatory

DOI

10.4064/fm192-2-2