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Strong topological rigidity of noncompact orientable surfaces

Sumanta Das

Algebraic & Geometric Topology 24 (2024) 4423–4469
Bibliography
1 Y Algom-Kfir, M Bestvina, Groups of proper homotopy equivalences of graphs and Nielsen realization, (2021) arXiv:2109.06908
2 V Álvarez, J M Rodríguez, Structure theorems for Riemann and topological surfaces, J. Lond. Math. Soc. 69 (2004) 153 MR2025333
3 R Ayala, E Dominguez, A Márquez, A Quintero, Proper homotopy classification of graphs, Bull. Lond. Math. Soc. 22 (1990) 417 MR1082009
4 M Barros, Classificação das superfícies não compactas cujo bordo é reunião de curvas de Jordan, Anais da Faculdade de Ciências 57, Univ. Porto (1974) 33
5 M Brittenham, π1–injective, proper maps of open surfaces, unpublished (1989)
6 M Brittenham, Essential laminations and deformations of homotopy equivalences: from essential pullback to homeomorphism, Topology Appl. 60 (1994) 249 MR1308972
7 E M Brown, Proper homotopy theory in simplicial complexes, from: "Topology Conference" (editors R F Dickman Jr., P Fletcher), Lecture Notes in Math. 375, Springer (1974) 41 MR0356041
8 E M Brown, R Messer, The classification of two-dimensional manifolds, Trans. Amer. Math. Soc. 255 (1979) 377 MR0542887
9 E M Brown, T W Tucker, On proper homotopy theory for noncompact 3–manifolds, Trans. Amer. Math. Soc. 188 (1974) 105 MR0334225
10 S Chang, S Weinberger, Modular symbols and the topological nonrigidity of arithmetic manifolds, Comm. Pure Appl. Math. 68 (2015) 2022 MR3403758
11 S Chang, S Weinberger, A course on surgery theory, 211, Princeton Univ. Press (2021) MR4207574
12 M Dehn, Papers on group theory and topology, Springer (1987) MR0881797
13 A L Edmonds, Deformation of maps to branched coverings in dimension two, Ann. of Math. 110 (1979) 113 MR0541331
14 C H Edwards Jr., Open 3–manifolds which are simply connected at infinity, Proc. Amer. Math. Soc. 14 (1963) 391 MR0150745
15 D B A Epstein, Curves on 2–manifolds and isotopies, Acta Math. 115 (1966) 83 MR0214087
16 D B A Epstein, The degree of a map, Proc. Lond. Math. Soc. 16 (1966) 369 MR0192475
17 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
18 F T Farrell, L E Jones, Topological rigidity for compact non-positively curved manifolds, from: "Differential geometry: riemannian geometry" (editors R Greene, S T Yau), Proc. Sympos. Pure Math. 54.3, Amer. Math. Soc. (1993) 229 MR1216623
19 F T Farrell, L R Taylor, J B Wagoner, The Whitehead theorem in the proper category, Compos. Math. 27 (1973) 1 MR0334226
20 M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357 MR0679066
21 D Gabai, G R Meyerhoff, N Thurston, Homotopy hyperbolic 3–manifolds are hyperbolic, Ann. of Math. 157 (2003) 335 MR1973051
22 M E Goldman, Open surfaces and an algebraic study of ends, PhD thesis, Yale University (1967) MR2616858
23 M E Goldman, An algebraic classification of noncompact 2–manifolds, Trans. Amer. Math. Soc. 156 (1971) 241 MR0275436
24 C R Guilbault, Ends, shapes, and boundaries in manifold topology and geometric group theory, from: "Topology and geometric group theory" (editors M W Davis, J Fowler, J F Lafont, I J Leary), Springer Proc. Math. Stat. 184, Springer (2016) 45 MR3598162
25 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
26 B Hughes, A Ranicki, Ends of complexes, 123, Cambridge Univ. Press (1996) MR1410261
27 B Kerékjártó, Vorlesungen über Topologie, I : Flächentopologie, 8, Springer (1923)
28 J M Lee, Introduction to smooth manifolds, 218, Springer (2013) MR2954043
29 D R McMillan Jr., Some contractible open 3–manifolds, Trans. Amer. Math. Soc. 102 (1962) 373 MR0137105
30 R S Palais, When proper maps are closed, Proc. Amer. Math. Soc. 24 (1970) 835 MR0254818
31 T Porter, Proper homotopy theory, from: "Handbook of algebraic topology" (editor I M James), North-Holland (1995) 127 MR1361888
32 M Reichbach, The power of topological types of some classes of 0–dimensional sets, Proc. Amer. Math. Soc. 13 (1962) 17 MR0133103
33 I Richards, On the classification of noncompact surfaces, Trans. Amer. Math. Soc. 106 (1963) 259 MR0143186
34 J Rosenberg, C–algebras, positive scalar curvature, and the Novikov conjecture, III, Topology 25 (1986) 319 MR0842428
35 P Scott, An introduction to 3–manifolds, course notes (1974) MR0413106
36 L C Siebenmann, On detecting Euclidean space homotopically among topological manifolds, Invent. Math. 6 (1968) 245 MR0238325
37 E H Spanier, Algebraic topology, McGraw-Hill (1966) MR210112
38 R J Tondra, Homeotopy groups of surfaces whose boundary is the union of 1–spheres, Fund. Math. 105 (1980) 79 MR561583
39 F Waldhausen, On irreducible 3–manifolds which are sufficiently large, Ann. of Math. 87 (1968) 56 MR0224099