scholarly journals Extension of bounded Baire-one functions vs extension of unbounded Baire-one functions

2019 ◽  
Author(s):  
Olena Karlova ◽  
Volodymyr Mykhaylyuk
Keyword(s):  
Baire One

scholarly journals A solution of the abstract Dirichlet problem for Baire-one functions

2006 ◽  
Vol 232 (2) ◽  
pp. 259-294 ◽  
Author(s):  
Jiří Spurný ◽  
Ondřej F.K. Kalenda
Keyword(s):  
Dirichlet Problem ◽  
Baire One

scholarly journals Linear extensions of some Baire-one functions

2017 ◽  
Vol 110 (2) ◽  
pp. 175-182 ◽  
Author(s):  
Waldemar Sieg
Keyword(s):  
Linear Extensions ◽  
Baire One

scholarly journals Diagonals of separately continuous maps with values in box products

2018 ◽  
Vol 6 (1) ◽  
pp. 26-33
Author(s):  
Olena Karlova ◽  
Volodymyr Mykhaylyuk
Keyword(s):  
Connected Space ◽  
Continuous Map ◽  
Continuous Maps ◽  
Baire One ◽  
Metrizable Spaces

Abstract We prove that if X is a paracompact connected space and Z = ∏s∈S Zs is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map g : X → Z there exists a separately continuous map f : X2 → Z such that f (x, x) = g(x) for all x ∈ X.

scholarly journals Extension of fragmented Baire-one functions on Lindelöf spaces

2019 ◽  
Vol 253 ◽  
pp. 85-94 ◽  
Author(s):  
Olena Karlova ◽  
Volodymyr Mykhaylyuk
Keyword(s):  
Baire One

scholarly journals Affine Baire-one functions on Choquet simplexes

2005 ◽  
Vol 71 (2) ◽  
pp. 235-258 ◽  
Author(s):  
Jiří Spurný
Keyword(s):  
Extreme Points ◽  
Baire One

Metrisable Choquet simplexes with the set of extreme points being an Fσ-set are characterised by means of the behaviour of the space of affine Baire-one functions.

Baire one, null functions

1985 ◽  
pp. 29-41 ◽  
Author(s):  
A. M. Bruckner ◽  
J. Mařík ◽  
C. E. Weil
Keyword(s):  
Baire One

ON BAIRE ONE POINT OF FUNCTIONS

2003 ◽  
Vol 36 (1) ◽  
Author(s):  
Ryszard J. Pawlak ◽  
Bożena Świqtek
Keyword(s):  
Baire One
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