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Open maps,colimits, and a convenient category of fibre spaces |
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| Authors: | LGaunce Lewis |
| Institution: | Department of Mathematics, Syracuse University, Syracuse, NY 13210, USA |
| Abstract: | We show that pulling back along an open map preserves all colimits in the category of weak Hausdorff k-spaces. We also show that the category of open maps over a weak Hausdorff k-space is a convenient category of fibre spaces. |
| Keywords: | Primary: 18A25 18A30 18B20 18D15 54B20 54D50 55R05 Secondary: 18D20 54C20 54D55 55P42 55U35 55U40 |
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