Algebraic & Geometric Topology Volume 4, issue 1 (2004)

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The boundary-Wecken classification of surfaces

Robert F Brown and Michael R Kelly

Algebraic & Geometric Topology 4 (2004) 49–71

DOI: 10.2140/agt.2004.4.49

Bibliography

1	L E J Brouwer, Über die Minimalzahl der Fixpunkte bei den Klassen von eindeutigen stetigen Transformationen der Ringlfächen, Math. Ann. 82 (1920) 94 MR1511974
2	R F Brown, B J Sanderson, Fixed points of boundary-preserving maps of surfaces, Pacific J. Math. 158 (1993) 243 MR1206436
3	S Buoncristiano, C P Rourke, B J Sanderson, A geometric approach to homology theory, London Mathematical Society Lecture Note Series 18, Cambridge University Press (1976) MR0413113
4	P R Heath, A Nielsen type number for fibre preserving maps, Topology Appl. 53 (1993) 19 MR1243868
5	P R Heath, E Keppelmann, P N S Wong, Addition formulae for Nielsen numbers and for Nielsen type numbers of fibre preserving maps, Topology Appl. 67 (1995) 133 MR1362079
6	B J Jiang, Commutativity and Wecken properties for fixed points on surfaces and 3–manifolds, Topology Appl. 53 (1993) 221 MR1247678
7	B J Jiang, J H Guo, Fixed points of surface diffeomorphisms, Pacific J. Math. 160 (1993) 67 MR1227504
8	B Jiang, The Wecken property of the projective plane, from: "Nielsen theory and Reidemeister torsion (Warsaw, 1996)", Banach Center Publ. 49, Polish Acad. Sci. (1999) 223 MR1734733
9	M R Kelly, Minimizing the number of fixed points for self-maps of compact surfaces, Pacific J. Math. 126 (1987) 81 MR868607
10	M R Kelly, The relative Nielsen number and boundary-preserving surface maps, Pacific J. Math. 161 (1993) 139 MR1237142
11	M R Kelly, Fixed points of boundary-preserving maps on punctured projective planes, Topology Appl. 124 (2002) 145 MR1926141
12	J K Nolan, Fixed points of boundary-preserving maps of punctured discs, Topology Appl. 73 (1996) 57 MR1413724
13	H Schirmer, A relative Nielsen number, Pacific J. Math. 122 (1986) 459 MR831126
14	R Skora, The degree of a map between surfaces, Math. Ann. 276 (1987) 415 MR875337
15	F Wecken, Fixpunktklassen III: Mindestzahlen von Fixpunkten, Math. Ann. 118 (1942) 544 MR0010281