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Induced open projections and C*-smoothness

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Charatonik W., Illanes A., Martínez-de-la-Vega V.

Colloquium Mathematicum

2013

tom 132

nr 1

73-94

We show that there exists a C*-smooth continuum X such that for every continuum Y the induced map C(f) is not open, where f: X × Y → X is the projection. This answers a question of Charatonik (2000).

A hit-and-miss topology for $2^X$, Cₙ(X) and Fₙ(X)

100%

Espinoza B., Martínez-de-la-Vega V., Martínez-Montejano J.

Colloquium Mathematicum

2009

tom 115

nr 1

47-64

A hit-and-miss topology ($τ_{HM}$) is defined for the hyperspaces $2^X$, Cₙ(X) and Fₙ(X) of a continuum X. We study the relationship between $τ_{HM}$ and the Vietoris topology and we find conditions on X for which these topologies are equivalent.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Martínez-de-la-Vega V.

1 Charatonik W.

1 Espinoza B.

1 Illanes A.

1 Martínez-Montejano J.

1 2013

1 2009

Wyniki wyszukiwania

Induced open projections and C*-smoothness

A hit-and-miss topology for $2^X$, Cₙ(X) and Fₙ(X)