Results about S2-paracompactness

About QoS in DVB-S2/RCS Systems

The standardization of a Return Channel via Satellite and the satellite community efforts in term of interoperability over the last few years stands for major milestones in the development of reliable, efficient and low cost satellite equipments. It leads to quite a positive outcome: geostationary satellite networks are expected to play a decisive role in bridging the existing digital divide th...

Paracompactness and Product Spaces

A topological space is called paracompact (see [2 J) if (i) it is a Hausdorff space (satisfying the T2 axiom of [l]), and (ii) every open covering of it can be refined by one which is "locally finite" ( = neighbourhood-finite; that is, every point of the space has a neighbourhood meeting only a finite number of sets of the refining covering). J. Dieudonné has proved [2, Theorem 4] that every se...

Two Results about Fixed Point of Multifunctions

On the paracompactness of frames

Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.

Paracompactness and an Example Due To

At the summer meeting (1955) of the American Mathematical Society, Mary E. Rudin presented an example of a separable normal nonparacompact space. It is the purpose of this note to point out that an example [3] due to F. B. Jones (1937) with an obvious definition of open sets is also such an example. Jones' paper was published before the notion of paracompactness appeared in the literature. The ...