Izvorni znanstveni članak

https://doi.org/10.3336/gm.47.1.17

Concerning n-mutual aposyndesis in hyperspaces

Alejandro Illanes ; Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Cd. Universitaria, México, 04510, D.F.

Sažetak

Given a metric continuum X, let 2X denote the hyperspace of nonempty closed subsets of X. We prove that 2X is n-mutually aposyndetic for each n≥ 1. That is, given n distinct elements of 2X, there are n disjoint subcontinua of 2X, each containing one of the elements in its interior.

Ključne riječi

Continuum; hyperspace; n-mutual aposyndesis

Hrčak ID:

82583

URI

https://hrcak.srce.hr/82583

Datum izdavanja:

3.6.2012.

Posjeta: 747 *