Original scientific paper

https://doi.org/10.3336/gm.48.1.10

Strong size properties

Sergio Macías ; Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, México D. F., C. P. 04510, México
César Piceno ; Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, México D. F., C. P. 04510, México

Abstract

We prove that countable aposyndesis, finite-aposyndesis, continuum chainability, acyclicity (for n≥ 3), and acyclicity for locally connected continua are strong size properties. As a consequence of our results we obtain that arcwise connectedness is a strong size property which is originally proved by Hosokawa.

Keywords

Absolute retract; acyclic continuum; continuum; continuum chainable continuum; countable aposyndesis; deformation retract; finite aposyndesis; n-fold hyperspace; retract; retraction; strong size level; strong size map; strong size properties

Hrčak ID:

103350

URI

https://hrcak.srce.hr/103350

Publication date:

4.6.2013.

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