On Topological Homotopy Groups of Inverse Limit Spaces

Mathematics – Algebraic Topology

Scientific paper

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10 pages. (This paper has been withdrawn by the author due to some revisions.)

Scientific paper

The paper is devoted to show that topological homotopy groups commute with
inverse limits under certain circumstances. As a consequence, we present some
conditions under which the topological homotopy group of an inverse limit space
is a topological group. We also give some conditions for countability of
homotopy groups.

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