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A note on paracompactness in generalized ordered spaces |
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| Authors: | Eric K van Douwen David J Lutzer |
| Institution: | Department of Mathematics, Ohio University, Athens, Ohio 45701 David J. Lutzer ; Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187 |
| Abstract: | In this paper, we show that for generalized ordered spaces, paracompactness is equivalent to Property D, where a space  is said to have Property D if, given any collection  of open sets in  satisfying  for each  , there is a closed discrete subset  of  satisfying  . |
| Keywords: | Paracompactness Property D generalized ordered space linearly ordered space |
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