D. SATHVIKABARANIDHARAN

  Connected space 29 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia For other uses, see  Connection (disambiguation) . Connected and disconnected subspaces of  R ² From top to bottom: red space  A , pink space  B , yellow space  C  and orange space  D  are all  connected spaces , whereas green space  E  (made of  subsets  E 1 , E 2 , E 3 , and E 4 ) is  disconnected . Furthermore,  A  and  B  are also  simply connected  ( genus  0), while  C  and  D  are not:  C  has genus 1 and  D  has genus 4. In  topology  and related branches of  mathematics , a  connected space  is a  topological space  that cannot be represented as the  union  of two or more  disjoint   non-empty   open subsets . Connectedness is one of the principal  topological pro...