Discontinuous extension of continuous real-valued functions
β Scribed by D. Landers; L. Rogge
- Book ID
- 110558627
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 239 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is shown that every subspace of a completely normal and extremally disconnected L-topological space has the extension property for I(L)-valued functions with L a meet-continuous lattice. To show this, we ΓΏrst characterize those spaces in terms of an insertion type theorem.
## Abstract It is shown that for an algebraic subvariety __X__ of β^__d__^ every FrΓ©chet valued real analytic function on __X__ can be extended to a real analytic function on β^__d__^ if and only if __X__ is of type (PL), i.e. all of its singularities are of a certain type. Necessity of this cond