Some Comments on Infinite Sets

Generated topology on infinite sets by ultrafilters

Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.

Convex Generalized Semi-Infinite Programming Problems with Constraint Sets: Necessary Conditions

 We consider generalized semi-infinite programming problems in which the index set of the inequality constraints depends on the decision vector and all emerging functions are assumed to be convex. Considering a lower level constraint qualification, we derive a formula for estimating the subdifferential of the value function. Finally, we establish the Fritz-John necessary optimality con...

On the Structure and Complexity of Infinite Sets with Minimal Perfect Hash Functions

This paper studies the class of infinite sets that have minimal perfect hash functions­ one-to-one onto maps between the sets and E·-computable in polynomial time. We show that all standard NP-complete sets have polynomial-time computable minimal per­ fect hash functions, and give a structural condition sufficient to ensure that all infinite NP sets have polynomial-time computable minimal perfe...

Some Comments on "the Knowledge, Attitude and Behavior of HIV/AIDS Patients Family toward Their Patients before and after Counseling"

Recent Trends in Archaeological Theory: Some Comments

 This paper selectively reviews some recent themes in archaeological theory:  a philosophical pragmatism, a turn to materiality, and understanding the past in the context of the present.  It concludes with some reflective comments on the author’s Archaeological Theory:  An Introduction, in advance of the third revised edition.