Extensorial properties of orbit spaces of locally compact proper group actions are investigated. (C) 1999 Elsevier Science B.V. All rights reserved.

For a compact Lie group G we prove that every free (resp., semifree) G-space admits a based-free (resp., semifree) G-compactification. Examples of finite- and infinite-dimensional G-spaces are presented that do not admit ...

A necessary and sufficient condition on a sequence {A(n)}(n is an element of N) of sigma-subalgebras that assures L-p-convergence of the conditional expectations is given. This result generalizes the L-p-martingales, the ...

Let X be a connected, locally connected Tychonoff space. Let r(X) (respectively r(0)(X)) denote the multicoherence degree (respectively open multicoherence degree) of X. Let beta X be the Stone-Cech compactification of X ...

For an infinite cardinal alpha, we say that a subset B of a space X is C-alpha-compact in X if for every continuous function f:X --> R-alpha, f[B] is a compact subset of R-alpha. This concept slightly generalizes the notion ...

In this paper we prove that for every cardinal kappa, the space C-p(D-k) admits a continuous bijection onto a space whose all finite powers are Lindelof (the symbol D stands for the discrete two-point space). We also prove ...

A continuum X has the Omega - EP property provided that for each self-mapping f the set of nonwandering points of f is contained in the closure of the set of eventually periodic points of f. It is known that the interval ...

It is shown that for locally connected continuum X if the induced mapping C(f) : C(X) --> C(Y) is open,then f is monotone. As a corollary it follows that if the continuum X is hereditarily locally connected and C(f) is ...

Let G be a locally compact Hausdorff group. We study orbit spaces and unions of equivariant absolute neighborhood extensors (G-ANEs) in the category of all proper G-spaces that are metrizable by a G-invariant metric. We ...