The span for Hausdorff continua
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- by Antonio Peláez PDF
- Proc. Amer. Math. Soc. 138 (2010), 1113-1120 Request permission
Abstract:
The author previously defined the surjective semispan for Hausdorff continua and he proved that chainable continua have empty surjective semispan. In this paper, we define the semispan, the surjective span and the span of a Hausdorff continuum. We characterize the emptiness of these notions in terms of universal mappings to prove that a continuum has empty span (semispan) if and only if each of its subcontinua has empty surjective span (semispan). We also prove that the emptiness of these notions is invariant under inverse limits.References
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- A. Peláez, The surjective semispan for Hausdorff continua, to appear in Topology and its Applications.
Additional Information
- Antonio Peláez
- Affiliation: Universidad Autónoma de la Ciudad de México, Plantel Cuautepec, Avenida la Corona 320, Gustavo A. Madero, C.P. 07160, México D. F.
- Email: pelaez@matem.unam.mx
- Received by editor(s): December 5, 2008
- Received by editor(s) in revised form: April 16, 2009
- Published electronically: October 26, 2009
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1113-1120
- MSC (2000): Primary 54F15; Secondary 54H25, 54E15
- DOI: https://doi.org/10.1090/S0002-9939-09-10123-5
- MathSciNet review: 2566576