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Estimation of the number of fixed points of map extensions

โœ Scribed by Zhao Xuezhi


Book ID
110567678
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1992
Tongue
English
Weight
207 KB
Volume
8
Category
Article
ISSN
1439-7617

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On minimal fixed point numbers of relati
โœ Xuezhi Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 303 KB

Let f : (X, A) โ†’ (X, A) be a self map of a pair of compact polyhedra. We define two new Nielsen type numbers m(f ; X, A) and m(f ; X -A), which are lower bounds for the number of fixed points on X and on Cl(X -A), the closure of X -A in X, respectively. These relative homotopy theoretic lower bounds