scholarly journals DECOMPOSING FUNCTIONS OF BAIRE CLASS 2 ON POLISH SPACES

2020 ◽  
pp. 1-11
Author(s):  
LONGYUN DING ◽  
TAKAYUKI KIHARA ◽  
BRIAN SEMMES ◽  
JIAFEI ZHAO
Keyword(s):  
Baire Class ◽  
Polish Spaces

scholarly journals A GAME CHARACTERIZING BAIRE CLASS 1 FUNCTIONS

2019 ◽  
Vol 85 (1) ◽  
pp. 456-466
Author(s):  
VIKTOR KISS
Keyword(s):  
Arbitrary Function ◽  
Winning Strategy ◽  
Baire Class ◽  
Polish Spaces ◽  
Class 1 ◽  
Player Game

AbstractDuparc introduced a two-player game for a function f between zero-dimensional Polish spaces in which Player II has a winning strategy iff f is of Baire class 1. We generalize this result by defining a game for an arbitrary function f : X → Y between arbitrary Polish spaces such that Player II has a winning strategy in this game iff f is of Baire class 1. Using the strategy of Player II, we reprove a result concerning first return recoverable functions.

DARBOUX B FUNCTIONS OF BAIRE CLASS ONE

1999 ◽  
Vol 25 (1) ◽  
pp. 103
Author(s):  
Gibson
Keyword(s):  
Baire Class

On the Baire class of selective derivatives

1977 ◽  
Vol 2 (2) ◽  
pp. 114
Author(s):  
Laczkovich
Keyword(s):  
Baire Class

scholarly journals Gauges of Baire class one functions

2008 ◽  
Vol 343 (2) ◽  
pp. 866-870 ◽  
Author(s):  
Zulijanto Atok ◽  
Wee-Kee Tang ◽  
Dongsheng Zhao
Keyword(s):  
Baire Class

scholarly journals Some Random Coupled Best Proximity Points for a Generalized ω-Cyclic Contraction in Polish Spaces

2017 ◽  
Vol 59 (1) ◽  
pp. 91-105 ◽  
Author(s):  
C. Kongban ◽  
P. Kumam
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Polish Spaces ◽  
Best Proximity Points ◽  
Coupled Best Proximity Point

AbstractIn this paper, we will introduce the concepts of a random coupled best proximity point and then we prove the existence of random coupled best proximity points in separable metric spaces. Our results extend the previous work of Akbar et al.[1].

scholarly journals Graph directed Markov systems on Hilbert spaces

2009 ◽  
Vol 147 (2) ◽  
pp. 455-488 ◽  
Author(s):  
R. D. MAULDIN ◽  
T. SZAREK ◽  
M. URBAŃSKI
Keyword(s):  
Hausdorff Measure ◽  
Iterated Function System ◽  
Sufficient Conditions ◽  
Topological Pressure ◽  
Limit Set ◽  
Covering Theorem ◽  
Limit Sets ◽  
Markov Systems ◽  
Polish Spaces ◽  
Iterated Function

AbstractWe deal with contracting finite and countably infinite iterated function systems acting on Polish spaces, and we introduce conformal Graph Directed Markov Systems on Polish spaces. Sufficient conditions are provided for the closure of limit sets to be compact, connected, or locally connected. Conformal measures, topological pressure, and Bowen's formula (determining the Hausdorff dimension of limit sets in dynamical terms) are introduced and established. We show that, unlike the Euclidean case, the Hausdorff measure of the limit set of a finite iterated function system may vanish. Investigating this issue in greater detail, we introduce the concept of geometrically perfect measures and provide sufficient conditions for geometric perfectness. Geometrical perfectness guarantees the Hausdorff measure of the limit set to be positive. As a by–product of the mainstream of our investigations we prove a 4r–covering theorem for all metric spaces. It enables us to establish appropriate co–Frostman type theorems.

The sharp baire class of auxiliary exponents

2000 ◽  
Vol 36 (10) ◽  
pp. 1571-1574 ◽  
Author(s):  
A. N. Vetokhin
Keyword(s):  
Baire Class
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