Document Type

Article

Language

eng

Publication Date

9-1-2016

Publisher

Elsevier

Source Publication

Topology and its Applications

Source ISSN

0166-8641

Abstract

We continue our study of ultracoproduct continua, focusing on the role played by the regular subcontinua—those subcontinua which are themselves ultracoproducts. Regular subcontinua help us in the analysis of intervals, composants, and noncut points of ultracoproduct continua. Also, by identifying two points when they are contained in the same regular subcontinua, we naturally generalize the partition of a standard subcontinuum of H⁎" role="presentation" style="box-sizing: border-box; margin: 0px; padding: 0px; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 14.4px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">⁎H⁎ into its layers.

Comments

Accepted version. Topology and its Applications, Vol. 210 (September 1, 2016): 46-62. DOI. © 2016 Elsevier B.V. Used with permission.

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