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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).

Arc property of Kelley and absolute retracts for hereditarily unicoherent continua

100%

Charatonik J., Charatonik W., Prajs J.

Colloquium Mathematicum

2003

tom 97

nr 1

49-65

We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for λ-dendroids, for dendroids) has the arc property of Kelley.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Charatonik W.

1 Charatonik J.

1 Illanes A.

1 Martínez-de-la-Vega V.

1 Prajs J.

1 2013

1 2003

Wyniki wyszukiwania

Induced open projections and C*-smoothness

Arc property of Kelley and absolute retracts for hereditarily unicoherent continua