NOTE ON TOTALLY DISCONNECTED AND CONNECTED SPACES

  • Received : 2008.09.24
  • Published : 2008.12.01

Abstract

Every totally disconnected space is hereditarily disconnected. In this note, we provide an example of a hereditarily disconnected which is not a totally disconnected space. We further provide an example that not homogeneous space is the product of a totally disconnected and a connected.

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