Separating Points of βℕ By Minimal Flows

1994 ◽  
Vol 46 (4) ◽  
pp. 758-771 ◽  
Author(s):  
Neil Hindman ◽  
Jimmie Lawson ◽  
Amha Lisan
Keyword(s):  
Characteristic Function ◽  
Topological Semigroup ◽  
Semigroup Compactification ◽  
Enveloping Semigroup ◽  
Smallest Ideal ◽  
Universal Semigroup

AbstractWe consider minimal left ideals L of the universal semigroup compactification of a topological semigroup S. We show that the enveloping semigroup of L is homeomorphically isomorphic to if and only if given q ≠ r in , there is some p in the smallest ideal of with qp ≠ rp. We derive several conditions, some involving minimal flows, which are equivalent to the ability to separate q and r in this fashion, and then specialize to the case that S = , and the compactification is . Included is the statement that some set A whose characteristic function is uniformly recurrent has .

scholarly journals Reductive compactifications of semitopological semigroups

2003 ◽  
Vol 2003 (51) ◽  
pp. 3277-3280
Author(s):  
Abdolmajid Fattahi ◽  
Mohamad Ali Pourabdollah ◽  
Abbas Sahleh
Keyword(s):  
Semitopological Semigroup ◽  
Semigroup Compactification ◽  
Enveloping Semigroup ◽  
Semigroup Compactifications

We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again. In this way, we introduce the notion ofE-algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universalEℱ-compactification is also given.

scholarly journals Quasiminimal distal function space and its semigroup compactification

1995 ◽  
Vol 18 (3) ◽  
pp. 497-500
Author(s):  
R. D. Pandian
Keyword(s):  
Function Space ◽  
Topological Semigroup ◽  
Mapping Property ◽  
Semitopological Semigroup ◽  
Semigroup Compactification ◽  
Right Topological Semigroup

Quasiminimal distal function on a semitopological semigroup is introduced. The concept of right topological semigroup compactification is employed to study the algebra of quasiminimal distal functions. The universal mapping property of the quasiminimal distal compactification is obtained.

scholarly journals Computing the Sound of the Sea in a Seashell

2021 ◽  
Author(s):  
Jonathan Ben-Artzi ◽  
Marco Marletta ◽  
Frank Rösler
Keyword(s):  
Characteristic Function ◽  
Helmholtz Resonator ◽  
Positive Answer ◽  
Approximation Procedure ◽  
Universal Algorithm

AbstractThe question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive answer is given, and it is shown that all that one has to assume is that the resonator chamber is bounded and that its boundary is $${{\mathcal {C}}}^2$$ C 2 . The proof is constructive, providing a universal algorithm which only needs to access the values of the characteristic function of the chamber at any requested point.

On the first zero of an empirical characteristic function

1991 ◽  
Vol 28 (3) ◽  
pp. 593-601 ◽  
Author(s):  
H. U. Bräker ◽  
J. Hüsler
Keyword(s):  
Characteristic Function ◽  
Limit Distribution ◽  
Random Variable ◽  
Empirical Characteristic Function ◽  
The Real ◽  
Exponential Decrease ◽  
Characteristic Process

We deal with the distribution of the first zero Rn of the real part of the empirical characteristic process related to a random variable X. Depending on the behaviour of the theoretical real part of the underlying characteristic function, cases with a slow exponential decrease to zero are considered. We derive the limit distribution of Rn in this case, which clarifies some recent results on Rn in relation to the behaviour of the characteristic function.

Sign in / Sign up

Export Citation Format

Share Document