Stone algebra extensions with bounded dense sets

1997 ◽  
Vol 37 (1) ◽  
pp. 1-23
Author(s):  
M. Gehrke ◽  
C. Walker ◽  
E. Walker
Keyword(s):  
Stone Algebra ◽  
Dense Sets

On Lower and Semi-Lower Density Operators

2007 ◽  
Vol 14 (4) ◽  
pp. 661-671
Author(s):  
Jacek Hejduk ◽  
Anna Loranty
Keyword(s):  
Density Operator ◽  
Baire Property ◽  
Density Operators ◽  
Dense Sets ◽  
Meager Sets ◽  
Algebras Of Sets

Abstract This paper contains some results connected with topologies generated by lower and semi-lower density operators. We show that in some measurable spaces (𝑋, 𝑆, 𝐽) there exists a semi-lower density operator which does not generate a topology. We investigate some properties of nowhere dense sets, meager sets and σ-algebras of sets having the Baire property, associated with the topology generated by a semi-lower density operator.

Classifying model-theoretic properties

2008 ◽  
Vol 73 (3) ◽  
pp. 885-905 ◽  
Author(s):  
Chris J. Conidis
Keyword(s):  
Model Theory ◽  
Computability Theory ◽  
Prime Model ◽  
Decidable Theory ◽  
Dense Sets ◽  
Equivalent Properties ◽  
The Relationship

AbstractIn 2004 Csima, Hirschfeldt, Knight, and Soare [1] showed that a set A ≤T 0′ is nonlow2 if and only if A is prime bounding, i.e., for every complete atomic decidable theory T, there is a prime model computable in A. The authors presented nine seemingly unrelated predicates of a set A, and showed that they are equivalent for sets. Some of these predicates, such as prime bounding, and others involving equivalence structures and abelian p-groups come from model theory, while others involving meeting dense sets in trees and escaping a given function come from pure computability theory.As predicates of A, the original nine properties are equivalent for sets; however, they are not equivalent in general. This article examines the (degree-theoretic) relationship between the nine properties. We show that the nine properties fall into three classes, each of which consists of several equivalent properties. We also investigate the relationship between the three classes, by determining whether or not any of the predicates in one class implies a predicate in another class.

Connected groups with dense sets of compact elements

1981 ◽  
Vol 33 (2) ◽  
pp. 141-144 ◽  
Author(s):  
M. I. Kabenyuk
Keyword(s):  
Dense Sets

scholarly journals On the existence of entire functions mapping countable dense sets onto each other

1976 ◽  
Vol 79 (4) ◽  
pp. 331-334 ◽  
Author(s):  
J.W Nienhuys ◽  
J.G.F Thiemann
Keyword(s):  
Entire Functions ◽  
Dense Sets

scholarly journals Decomposition of the Line Into Countably-Many Measure-Theoretic Dense Sets

1993 ◽  
Vol 5 (3) ◽  
pp. 123-125
Author(s):  
Joseph Bennish
Keyword(s):  
Dense Sets

scholarly journals On fuzzy regular volterra spaces

10.26524/cm63 ◽  
2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Thangaraj G ◽  
Soundara Rajan S
Keyword(s):  
First Category ◽  
Dense Sets ◽  
Residual Sets ◽  
Fuzzy Setting

The aim of this paper is to introduce the concepts of regular Gδ-sets, regular Fσ-sets and regular Volterra spaces in fuzzy setting are introduced and studied. Several characterizations offuzzy regular Volterra spaces in terms of fuzzy regular Fσ-sets, fuzzy first category sets, fuzzy residual sets and fuzzy σ-nowhere dense sets are also established in this paper.

Maximal Nowhere Dense Sets and their Applications to Problems of Existence of Remote Points and of Weak P-Points

1991 ◽  
Vol 150 (1) ◽  
pp. 263-275 ◽  
Author(s):  
A. I. Veksler
Keyword(s):  
Dense Sets ◽  
Remote Points

Fuzzy locally dense sets and fuzzy locally nowhere dense sets.

2020 ◽  
Vol 7 (7) ◽  
Keyword(s):  
Dense Sets

On Translation Invariant Quadratic Forms in Dense Sets

2017 ◽  
Vol 2019 (4) ◽  
pp. 961-1004
Author(s):  
Lilu Zhao
Keyword(s):  
Quadratic Forms ◽  
Translation Invariant ◽  
Dense Sets

scholarly journals Continuous Functions That Are Locally Constant on Dense Sets

1995 ◽  
Vol 133 (1) ◽  
pp. 129-137 ◽  
Author(s):  
M.E. Rudin ◽  
W. Rudin
Keyword(s):  
Continuous Functions ◽  
Dense Sets
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