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Coincidence Producing Maps Onto Trees

Published online by Cambridge University Press:  20 November 2018

Helga Schirmer
Helga Schirmer*
Affiliation:
Carleton University
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Holsztyński [1] called a map f : X → Y f r om a space X into a space Y ‘universal for all maps of X into Y f if for all maps g : X → Y there exists a point x ∊ X such that f(x) = g(x) , i. e., if f has a coincidence with all maps from X into Y. As the word ‘universal’ is already widely used with different meanings, we prefer the more precise term ‘coincidence producing’ for these maps. Such maps must clearly be surjective.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 3 , August 1967, pp. 417 - 423
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Holsztyński, W., Une généralisation du théorème de Brouwer sur les points invariants. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 12 (1964), 603-606.Google Scholar
2. Schirmer, H., A Brouwer type coincidence theorem. Canad. Math. Bull. 9 (1966), 443-446.Google Scholar
3. Wallace, A. D., A fixed-point theorem for trees. Bull. Amer. Math. Soc., 47 (1941), 757-760.Google Scholar
4. Whyburn, G. T., Analytic Topology Amer. Math. Soc. Coll. Publ., New York (1942).Google Scholar
5. Wilder, R. L., Topology of manifolds Amer. Math. Soc. Coll. Publ., vol. 32 New York (1949).Google Scholar