MathDB

Miklos Schweitzer 1982_9

Source: compact Hausdorff space

January 31, 2009

topologygeometry3D geometryfunction

Problem Statement

Suppose that

K

is a compact Hausdorff space and K\equal{} \cup_{n\equal{}0}^{\infty}A_n, where

A_n

is metrizable and

A_n \subset A_m

for

n<m

. Prove that

K

is metrizable. Z. Balogh