Concerning compact continua in certain spaces of R. L. Moore

CONCERNING INTERSECTING CONTINUA BY R. L. MooRu

Concerning the Spans of Certain Plane Separating Continua

Let X be a plane separating continuum. Suppose C is a convex space contained in a bounded component of R2 − X. It is shown that the span of the boundary of C is a lower bound for both the span and semispan of X. It is also shown that if a span of X is equal to the breadth of X and Y satisfies certain conditions relative to X then that span of X is an upper bound for the corresponding span of Y .

On Certain Co–h Spaces Related to Moore Spaces

We show that certain co–H spaces, constructed by Anick and Gray, carry a homotopy co–associative and co–commutative co–H structure.

Concerning Continuous Images of Compact Ordered Spaces

It is the purpose of this paper to prove that if each of X and Y is a compact Hausdorff space containing infinitely many points, and X X Y is the continuous image of a compact ordered space L, then both X and Fare metrizable.2 The preceding theorem is a generalization of a theorem [l ] by Mardesic and Papic, who assume that X, Y, and L are also connected. Young, in [3], shows that the Cartesian...

Compact composition operators on certain analytic Lipschitz spaces

We investigate compact composition operators on ceratin Lipschitzspaces of analytic functions on the closed unit disc of the plane.Our approach also leads to some results about compositionoperators on Zygmund type spaces.