This is not a homework but it is a question in my mind.please guide me.(adsbygoogle = window.adsbygoogle || []).push({});

Let X and Y be topological spaces,let f : X -----> Y is a function.

when the following statements are equivalent????:

1) f is continuous

2) f(A') is subset of f(A)' ,for every A subset of X.

Symbols: A' i.e limit points set of A ,and f(A)' i.e limit points set of f(A).

pointing out: look to theorem 18-1 (page 104) from Munkres's book (TOPOLOGY 2edition 2000) and exercise 2 (page 111) from Munkres's book.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Continuous functions on Munkres's book

Loading...

Similar Threads - Continuous functions Munkres's | Date |
---|---|

I Continuity of composition of continuous functions | May 9, 2017 |

I Differentiability of multivariable functions | Oct 28, 2016 |

B Continuous Function | Aug 31, 2016 |

I Continuous Functions with Piecewise Functions | Jun 18, 2016 |

I Continuity of a function implies its existence in the neighbourhood? | Jun 16, 2016 |

**Physics Forums - The Fusion of Science and Community**