F U N D A M E N T A MATHEMATICAE
141 (1992)
Corrections to my paper
“Investigating the ANR -property of metric spaces”
(Fund. Math. 124 (1984), 243–254) by
N g u y e n T o N h u (Hanoi)
Page 244, lines 9 and 12: “. . . such that for . . .” should read . . . such that diam U
n→ 0 as n → ∞ and for . . .
Page 245, lines 11 and 22: “d(x, a(ϕ(V ))) < 5d(x, X) . . .” should read d(x, a(ϕ(V ))) < 5d(x, X) + diam ϕ(V ) . . .
Page 246, line 16 (from the bottom): “. . . ≤ 5d(x, X) + δ(ϕ(σ)).” should read
. . . ≤ 5d(x, X) + diam ϕ(V
1) + δ(ϕ(σ)) .
The condition “diam U
n→ 0 as n → ∞” was not explicitly stated in Theorem 1-1 but we were always aware of this condition in all our applica- tions.
I am very grateful to J. Luukkainen for his observations which allowed me to discover the above mistakes.
INSTITUTE OF MATHEMATICS P.O. BOX 631
BO HO
HANOI, VIETNAM
Received 23 July 1992