Zero-dimensional open mappings of regions
β Scribed by Yu. A. Zykov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1967
- Tongue
- English
- Weight
- 348 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
Let X be a real Banach space and let D ; X be an open and bounded set. A Ε½ . mapping T : D Βͺ X with 0 f T Ρ¨ D is called 0-epi mapping on D if the equation Ε½ . Tx s g x is solvable in D for every compact continuous mapping g: D Βͺ X which vanishes identically on Ρ¨ D. We show that there exists a mappin
Openness of induced mappings between hyperspaces of continua is studied. In particular we investigate continua X such that if for a mapping f : It is shown that, besides hereditarily locally connected continua, all fans have this property, while some Cartesian products do not have it. If f : X Γ Y