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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

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