Mixing categories
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- by John Oprea and Jeff Strom PDF
- Proc. Amer. Math. Soc. 139 (2011), 3383-3392 Request permission
Abstract:
We show that $\mathrm {cat}(X) \leq \mathrm {cat}_1(X) + \mathrm {cat}^1(X)$, where $\mathrm {cat}_1(X)$ is Fox’s $1$-dimensional category and $\mathrm {cat}^1(X)$ is the $\mathcal {A}$-category of Clapp and Puppe with $\mathcal {A}=\{\mbox {$1$-dimensional spaces}\}$.References
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Additional Information
- John Oprea
- Affiliation: Department of Mathematics, Cleveland State University, Cleveland, Ohio 44115
- MR Author ID: 134075
- Email: j.oprea@csuohio.edu
- Jeff Strom
- Affiliation: Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008-5200
- Email: Jeff.Strom@wmich.edu
- Received by editor(s): August 22, 2010
- Published electronically: March 2, 2011
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3383-3392
- MSC (2010): Primary 55M30; Secondary 55P99
- DOI: https://doi.org/10.1090/S0002-9939-2011-10958-4
- MathSciNet review: 2811292