On the classification of fibrations
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- by M. Blomgren and W. Chachólski PDF
- Trans. Amer. Math. Soc. 367 (2015), 519-557 Request permission
Abstract:
We identify the homotopy type of the moduli of maps with a given homotopy type of the base and the homotopy fiber. A new model for the space of weak equivalences and its classifying space is given.References
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Additional Information
- M. Blomgren
- Affiliation: Department of Mathematics, KTH, S 10044 Stockholm, Sweden
- Email: blomgr@kth.se
- W. Chachólski
- Affiliation: Department of Mathematics, KTH, S 10044 Stockholm, Sweden
- Email: wojtek@math.se
- Received by editor(s): October 5, 2012
- Received by editor(s) in revised form: March 13, 2013
- Published electronically: May 20, 2014
- Additional Notes: The first author was supported in part by KAW 2005.0098 from the Knut and Alice Wallenberg Foundation.
The second author was partially supported by Göran Gustafsson Stiftelse and VR grants. - © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 519-557
- MSC (2010): Primary 55-xx; Secondary 55P60, 55P99
- DOI: https://doi.org/10.1090/S0002-9947-2014-06142-4
- MathSciNet review: 3271269