Algebraic & Geometric Topology Volume 18, issue 4 (2018)

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The double $n\mkern-1.5mu$–space property for contractible $n\mkern-1.5mu$–manifolds

Peter Sparks

Algebraic & Geometric Topology 18 (2018) 2131–2149

DOI: 10.2140/agt.2018.18.2131

Bibliography

1	F D Ancel, C R Guilbault, Compact contractible n–manifolds have arc spines (n ≥ 5), Pacific J. Math. 168 (1995) 1 MR1331991
2	F D Ancel, C R Guilbault, P Sparks, Infinite boundary connected sums with applications, preprint
3	J S Calcut, H C King, L C Siebenmann, Connected sum at infinity and Cantrell–Stallings hyperplane unknotting, Rocky Mountain J. Math. 42 (2012) 1803 MR3028764
4	M M Cohen, A course in simple-homotopy theory, 10, Springer (1973) MR0362320
5	M L Curtis, K W Kwun, Infinite sums of manifolds, Topology 3 (1965) 31 MR0176457
6	D Gabai, The Whitehead manifold is a union of two Euclidean spaces, J. Topol. 4 (2011) 529 MR2832566
7	D J Garity, D D Repovš, D G Wright, Contractible 3–manifolds and the double 3–space property, Trans. Amer. Math. Soc. 370 (2018) 2039 MR3739201
8	R Geoghegan, Topological methods in group theory, 243, Springer (2008) MR2365352
9	L C Glaser, Contractible complexes in Sⁿ, Proc. Amer. Math. Soc. 16 (1965) 1357 MR0184240
10	L C Glaser, Intersections of combinatorial balls and of Euclidean spaces, Bull. Amer. Math. Soc. 72 (1966) 68 MR0184237
11	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
12	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
13	A A Kosinski, Differential manifolds, 138, Academic Press (1993) MR1190010
14	B Mazur, A note on some contractible 4–manifolds, Ann. of Math. 73 (1961) 221 MR0125574
15	D Rolfsen, Knots and links, 7, Publish or Perish (1976) MR0515288
16	C P Rourke, B J Sanderson, Introduction to piecewise-linear topology, 69, Springer (1972) MR0350744
17	P Sparks, Contractible n–manifolds and the double n–space property, PhD thesis, The University of Wisconsin (2014) MR3346990
18	J H C Whitehead, Simplicial spaces, nuclei and m–groups, Proc. London Math. Soc. 45 (1939) 243 MR1576810
19	D G Wright, On 4–manifolds cross I, Proc. Amer. Math. Soc. 58 (1976) 315 MR0420626
20	E C Zeeman, On the dunce hat, Topology 2 (1964) 341 MR0156351