p-Compact, p-Bounded and p-Complete

p-Lambda-bounded variation

A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.

p-lambda-bounded variation

a characteriation of continuity of the $p$-$lambda$-variation function is given and the helly's selection principle for $lambda bv^{(p)}$ functions is established. a characterization of the inclusion of waterman-shiba classes into classes of functions with given integral modulus of continuity is given. a useful estimate on modulus of variation of functions of class $lambda bv^{(p)}$ is found.

P-Amenable Locally Compact Hypergroups

PU(p) AS A p-COMPACT GROUP

It is shown that the the maximal torus normalizer determines the p-compact group PU(p) and its automorphisms. This leads to homotopy uniqueness results for PU(p) and related p-compact groups and to a novel construction of unstable Adams operations.

p-amenable locally compact hypergroups

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