Protestant Space-Continuity

Continuity of Measureson Hilbert Space

The paper considers continuity properties of a nite Borel measure on a separable Hilbert space X. Continuity of the mappings x 7 ! (A + x) on a subspace H, uniformly in A 2 B(X), is characterized by the existence of a nonstandard density of having a certain property. This generalizes a well known standard result for measures on R n. The ideas are illustrated with reference to Gaussian measures ...

Somewhat-connectedness and somewhat-continuity in the product space

In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $omega_theta$-connectedness, and the $omega$-connectedness will be determined. Moreover, the concept of textit{somewhat}-continuous function from an arbitrary topological space into the product space will be chara...

Cloning in Protestant perspective.

Spatio-Temporal Continuity in Geographic Space

The paper is an investigation into different notions of spatial, temporal, and spatio-temporal continuity. A formal framework is proposed in which a number of different notions of continuity is situated.

The Vanishing Protestant Majority

1 Advantages of using the GSS include a) its measurement of Protestants has not changed over the years, b) its high quality (e.g. its high overall response rate and low item non-response on religion), and c) its large sample size (over 43,000 respondents in 1972-2002).