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On the dimension of infinite covers |
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| Authors: | W. G. Dwyer S. Stolz L. R. Taylor |
| Affiliation: | Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 ; Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 ; Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 |
| Abstract: | We prove the following theorem and some generalizations.  . Let  be a connected CW complex which satisfies Poincaré duality of dimension  . For any subgroup  of  , let  denote the cover of  corresponding to  . If  has infinite index in  , then  is homotopy equivalent to an  -dimensional CW complex. |
| Keywords: | Infinite covers dimension |
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