Download this article
 Download this article For screen
For printing
Recent Issues

Volume 25
Issue 8, 4437–5174
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
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5 M Brittenham, π1–injective, proper maps of open surfaces, unpublished (1989)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