scholarly journals The Hurewicz covering property and slaloms in the Baire space

2004 ◽  
Vol 181 (3) ◽  
pp. 273-280 ◽  
Author(s):  
Boaz Tsaban
Keyword(s):  
Baire Space ◽  
Covering Property

scholarly journals ISOCOMPACTNESS AND RELATED TOPICS OF WEAK COVERING PROPERTY

2002 ◽  
Vol 39 (2) ◽  
pp. 347-357
Author(s):  
Myung-Hyun Cho ◽  
Won-Woo Park
Keyword(s):  
Covering Property

The weak König lemma and uniform continuity

2008 ◽  
Vol 73 (3) ◽  
pp. 933-939 ◽  
Author(s):  
Josef Berger
Keyword(s):  
Continuous Function ◽  
Uniform Continuity ◽  
Baire Space ◽  
Cantor Space

AbstractWe prove constructively that the weak König lemma and quantifier-free number–number choice imply that every pointwise continuous function from Cantor space into Baire space has a modulus of uniform continuity.

scholarly journals Baire space and second category extensions

1981 ◽  
Vol 12 (2) ◽  
pp. 135-140 ◽  
Author(s):  
John W. Carlson
Keyword(s):  
Baire Space ◽  
Second Category

Nice Hamel bases under the Covering Property Axiom

2004 ◽  
Vol 105 (3) ◽  
pp. 197-213 ◽  
Author(s):  
Krzysztof Ciesielski ◽  
Janusz Pawlikowski
Keyword(s):  
Covering Property ◽  
Covering Property Axiom

8. Theft, Handling, and Robbery

Criminal Law ◽  
2020 ◽  
pp. 515-574
Author(s):  
Jonathan Herring
Keyword(s):  
Money Laundering ◽  
Covering Property ◽  
The Law ◽  
Property Offences ◽  
Stolen Goods

This chapter begins with a discussion of the law on theft, robbery, assault with intent to rob, handling stolen goods, and money laundering offences. The second part of the chapter focuses on the theory of theft, covering property offences; the debate over Gomez; the Hinks debate; temporary appropriation; dishonesty; robberies; and handling stolen goods.

Small Coverings with Smooth Functions under the Covering Property Axiom

2005 ◽  
Vol 57 (3) ◽  
pp. 471-493 ◽  
Author(s):  
Krzysztof Ciesielski ◽  
Janusz Pawlikowski
Keyword(s):  
Borel Function ◽  
Covering Property ◽  
Smooth Functions ◽  
Differentiable Functions ◽  
Perfect Set ◽  
Covering Property Axiom

AbstractIn the paper we formulate a Covering Property Axiom, CPAprism, which holds in the iterated perfect set model, and show that it implies the following facts, of which (a) and (b) are the generalizations of results of J. Steprāns.(a) There exists a family ℱ of less than continuummany functions from ℝ to ℝ such that ℝ2 is covered by functions from ℱ, in the sense that for every 〈x, y〉 ∈ ℝ2 there exists an f ∈ ℱ such that either f (x) = y or f (y) = x.(b) For every Borel function f : ℝ → ℝ there exists a family ℱ of less than continuum many “” functions (i.e., differentiable functions with continuous derivatives, where derivative can be infinite) whose graphs cover the graph of f.(c) For every n > 0 and a Dn function f: ℝ → ℝ there exists a family ℱ of less than continuum many Cn functions whose graphs cover the graph of f.We also provide the examples showing that in the above properties the smoothness conditions are the best possible. Parts (b), (c), and the examples are closely related to work of A. Olevskiĭ.

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