Title

Sequential Decreasing Strong Size Properties

Author(s)

Miguel A. Lara, Universidad Autonoma del Estado de MexicoFollow
Fernando Orozco, Universidad Autonoma del Estado de Mexico
Felix Capulín, Universidad Autonoma del Estado de MexicoFollow

Document Type

Topology + Dynamics and Continuum Theory

Publication Date

6-2017

Publication Source

32nd Summer Conference on Topology and Its Applications

Abstract

Let X be a continuum. A topological property P is said to be a sequential decreasing strong size property provided that if μ is a strong size map for C_n(X), {t_n} is a sequence in the interval (t, 1) such that limt_n = t and each fiber μ^-1 (t_n) has the property P, then μ^-1 (t) has the property P. We show that the following properties are sequential decreasing strong size properties: be a Kelley continuum, indecomposability, local connectedness, continuum chainability and unicoherence.

Comments

This document is available for download with the permission of the presenting author and the organizers of the conference. Permission documentation is on file.

Technological limitations may prevent some mathematical symbols and functions from displaying correctly in this record’s metadata fields. Please refer to the attached PDF for the correct display.

Copyright

Copyright © 2017, the Author

eCommons Citation

Lara, Miguel A.; Orozco, Fernando; and Capulín, Felix, "Sequential Decreasing Strong Size Properties" (2017). Summer Conference on Topology and Its Applications. 40.
https://ecommons.udayton.edu/topology_conf/40