Local Dimension of Normal Spaces

@inproceedings{DOWKER2005LocalDO,
  title={Local Dimension of Normal Spaces},
  author={C. H. DOWKER},
  year={2005}
}
  • C. H. DOWKER
  • Published 2005
Introduction LET dim-X be the covering dimension of a space X and let ind X and Ind X be the dimensions defined inductively in terms of the boundaries of neighbourhoods of points and closed sets respectively. The local dimension loo dim X is the least number n such that every point has a closed neighbourhood U with dim U ^ n. The local inductive dimension locIndX is defined analogously, while indX is already a local property. The subset theorem, that dim A < dim X for A c X, which was proved by… CONTINUE READING

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