Nielsen type numbers of self-maps on the real projective plane.
Wang, Jiaoyun (2010)
Fixed Point Theory and Applications [electronic only]
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Wang, Jiaoyun (2010)
Fixed Point Theory and Applications [electronic only]
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Steele, T.H. (2006)
International Journal of Mathematics and Mathematical Sciences
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Ľubomír Snoha (1990)
Commentationes Mathematicae Universitatis Carolinae
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Milan Kuchta (1990)
Commentationes Mathematicae Universitatis Carolinae
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Marcelo Polezzi, Claudemir Aniz (2006)
Open Mathematics
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In this paper we develop the notion of contact orders for pairs of continuous self-maps (f, g) from ℝn, showing that the set Con(f, g) of all possible contact orders between f and g is a topological invariant (we remark that Con(f, id) = Per(f)). As an interesting application of this concept, we give sufficient conditions for the graphs of two continuous self-maps from ℝ intersect each other. We also determine the ordering of the sets Con(f, 0) and Con(f, h), for h ∈ Hom(ℝ) such that...
Alikhani-Koopaei, Aliasghar (2003)
International Journal of Mathematics and Mathematical Sciences
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Gedeon, T. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Puri, Yash, Ward, Thomas (2001)
Journal of Integer Sequences [electronic only]
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