A NIELSEN TYPE NUMBER OF FIBRE PRESERVING MAPS

Title & Authors
A NIELSEN TYPE NUMBER OF FIBRE PRESERVING MAPS
Lee, Seoung Ho;

Abstract
We introduce a Nielsen type number of a fibre preserving map, and show that it is a lower bound for the number of $\small{n}$-orbits in the homotopy class. Under suitable conditions we show that it is equal to the Nielsen type relative essential $\small{n}$-orbit number. We also give necessary and sufficient conditions for it and the essential $\small{n}$-orbit number to coincide.
Keywords
essential n-orbit classes;Nielsen type numbers;fibre spaces;
Language
English
Cited by
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