MORPHISMS ON CLOSURE SPACES AND MOORE SPACES

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES

K. Borsuk in 1979, at the Topological Conference in Moscow, introduced concept of the capacity of a compactum and asked some questions concerning properties of the capacity ofcompacta. In this paper, we give partial positive answers to three of these questions in some cases. In fact, by describing spaces homotopy dominated by Moore and Eilenberg-MacLane spaces, the capacities of a Moore space $...

Axioms for Moore Spaces and Metric Spaces

for an arbitrary original polygon P . Further, no other relations Pn_p = 0 (p7*pi or p2 • or £jfc) are satisfied by P ' if P remains general ( P ' has no higher than the &th degree of regularity). This is also seen from (16'), where 0(co) ^ 0 , Rn-P^0 (since P is general) ; therefore P ' n _ ^ 0 . In fact, no relations of any kind besides (18) are satisfied by P' = MP if P remains general. This...

More on Morphisms of Spaces

Harmonic Morphisms on Heaven Spaces

We prove that any (real or complex) analytic horizontally conformal submersion from a three-dimensional conformal manifold (M, cM ) to a twodimensional conformal manifold (N, cN ) can be, locally, ‘extended’ to a unique harmonic morphism from the H(eaven)-space (H, g) of (M, cN ) to (N, cN ). Moreover, any positive harmonic morphism with two-dimensional fibres from (H, g) is obtained this way.