On Hawaiian Groups of Some Topological Spaces

Ameneh Babaee, Behrooz Mashayekhy, Hanieh Mirebrahimi

Published 2011-11-03, updated 2012-01-21Version 2

The paper is devoted to study the structure of Hawaiian groups of some topological spaces. We present some behaviors of Hawaiian groups with respect to product spaces, weak join spaces, cone spaces, covering spaces and locally trivial bundles. In particular, we determine the structure of the $n$-dimensional Hawaiian group of the $m$-dimensional Hawaiian earring space, for all $1\leq m\leq n$.