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Transfinite sequences of continuous and Baire class 1 functions |
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| Authors: | Má rton Elekes Kenneth Kunen |
| Affiliation: | Department of Analysis, Eötvös Loránd University, Budapest, Pázmány Péter sétány 1/c, 1117, Hungary ; Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706 |
| Abstract: | The set of continuous or Baire class 1 functions defined on a metric space  is endowed with the natural pointwise partial order. We investigate how the possible lengths of well-ordered monotone sequences (with respect to this order) depend on the space  . |
| Keywords: | Baire class 1 separable metric space transfinite sequence of functions |
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