almost locally compact
*Definition [#i5638c32]
Let X be a topological space and A a subspace of X.
τ(A,X) denotes the family of all open sets in X which contain A. A subfamily B of τ(A,X) is called an outer base if for all U in τ(A,X) there is some V in B included in U.
X is called almost locally compact if the set of all points at which X is not [[locally compact]] is contained in a [[compact]] set with countable outer character.
*Reference [#g6ccebe8]
D. Jardon and V. V. Tkachuk, ''Ultracomplete metaLindelof spaces are almost locally compact'', New Zealand J. Math. Vol. 36, pp.277-285 (2007).