A.V. Arhangel'skii Remainders of various kinds of spaces in compactifications
begin with a brief survey of recent results on remainders of
non-locally compact topological groups in Hausdorff compactifications.
In particular, we discuss, when such remainders are paracompact, when
they have the Baire property, and when some of them are metrizable.
We also discuss remainders of metrizable spaces (which needn't be
topological groups), where some new results are presented and a new
class of spaces is introduced.