# Fragmentability and σ-fragmentability

J. Jayne; I. Namioka; C. Rogers

Fundamenta Mathematicae (1993)

- Volume: 143, Issue: 3, page 207-220
- ISSN: 0016-2736

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topJayne, J., Namioka, I., and Rogers, C.. "Fragmentability and σ-fragmentability." Fundamenta Mathematicae 143.3 (1993): 207-220. <http://eudml.org/doc/212005>.

@article{Jayne1993,

abstract = {Recent work has studied the fragmentability and σ-fragmentability properties of Banach spaces. Here examples are given that justify the definitions that have been used. The fragmentability and σ-fragmentability properties of the spaces $ℓ^∞$ and $ℓ_c^∞(\{Γ\})$, with Γ uncountable, are determined.},

author = {Jayne, J., Namioka, I., Rogers, C.},

journal = {Fundamenta Mathematicae},

keywords = {fragmentability},

language = {eng},

number = {3},

pages = {207-220},

title = {Fragmentability and σ-fragmentability},

url = {http://eudml.org/doc/212005},

volume = {143},

year = {1993},

}

TY - JOUR

AU - Jayne, J.

AU - Namioka, I.

AU - Rogers, C.

TI - Fragmentability and σ-fragmentability

JO - Fundamenta Mathematicae

PY - 1993

VL - 143

IS - 3

SP - 207

EP - 220

AB - Recent work has studied the fragmentability and σ-fragmentability properties of Banach spaces. Here examples are given that justify the definitions that have been used. The fragmentability and σ-fragmentability properties of the spaces $ℓ^∞$ and $ℓ_c^∞({Γ})$, with Γ uncountable, are determined.

LA - eng

KW - fragmentability

UR - http://eudml.org/doc/212005

ER -

## References

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- [3] R. W. Hansell, J. E. Jayne and M. Talagrand, First class selectors for weakly upper semi-continuous multi-valued maps in Banach spaces, J. Reine Angew. Math. 361 (1985), 201-220 and 362 (1986), 219-220. Zbl0573.54012
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- [10] J. E. Jayne, J. Orihuela, A. J. Pallarés and G. Vera, σ-Fragmentability of multivalued maps and selection theorems, J. Funct. Anal. 115 (1993). Zbl0822.54018
- [11] J. L. Kelley, General Topology, Springer, New York, 1975.
- [12] I. Namioka, Radon-Nikodým compact spaces and fragmentability, Mathematika 34 (1987), 258-281. Zbl0654.46017
- [13] I. Namioka and R. Pol, Mappings of Baire spaces into function spaces and Kadec renorming, Israel J. Math. 78 (1992), 1-20. Zbl0794.54036
- [14] N. K. Ribarska, Internal characterization of fragmentable spaces, Mathematika 34 (1987), 243-257. Zbl0645.46017
- [15] N. K. Ribarska, A note on fragmentability of some topological spaces, C. R. Acad. Bulgare Sci. 43 (1990), 13-15. Zbl0763.54021
- [16] Z. Semadeni, Banach Spaces of Continuous Functions, Vol. 1, PWN, Warszawa, 1971.

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