Algebraic & Geometric Topology Volume 25, issue 4 (2025)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Shrinking without doing much at all

Michael Freedman and Michael Starbird

Algebraic & Geometric Topology 25 (2025) 2099–2114

DOI: 10.2140/agt.2025.25.2099

Bibliography

1	F D Ancel, M P Starbird, The shrinkability of Bing–Whitehead decompositions, Topology 28 (1989) 291 MR1014463
2	J J Andrews, L Rubin, Some spaces whose product with E¹ is E⁴, Bull. Amer. Math. Soc. 71 (1965) 675 MR176454
3	R H Bing, A homeomorphism between the 3-sphere and the sum of two solid horned spheres, Ann. of Math. 56 (1952) 354 MR49549
4	R H Bing, Shrinking without lengthening, Topology 27 (1988) 487 MR976590
5	J Bryant, S Ferry, W Mio, S Weinberger, Topology of homology manifolds, Ann. of Math. 143 (1996) 435 MR1394965
6	J W Cannon, Σ²H³ = S⁵∕G, Rocky Mountain J. Math. 8 (1978) 527 MR478166
7	R J Daverman, Decompositions of manifolds, 124, Academic (1986) MR872468
8	A N Dranishnikov, E V Shchepin, Cell-like mappings: the problem of the increase of dimension, Uspekhi Mat. Nauk 41 (1986) 49 MR890492
9	R D Edwards, The topology of manifolds and cell-like maps, from: "Proceedings of the International Congress of Mathematicians" (editor O Lehto), Acad. Sci. Fennica (1980) 111 MR562601
10	M H Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982) 357 MR679066
11	M Freedman, M Starbird, The geometry of the Bing involution, preprint (2022) arXiv:2209.07597
12	F Quinn, Ends of maps, II, Invent. Math. 68 (1982) 353 MR669423