Algebraic & Geometric Topology Volume 25, issue 5 (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

The homotopy type of the PL cobordism category, I

Mauricio Gómez López

Algebraic & Geometric Topology 25 (2025) 2527–2611

DOI: 10.2140/agt.2025.25.2527

Bibliography

1	J L Bryant, Piecewise linear topology, from: "Handbook of geometric topology", North-Holland (2002) 219 MR1886671
2	S Galatius, Stable homology of automorphism groups of free groups, Ann. of Math. 173 (2011) 705 MR2784914
3	S Galatius, I Madsen, U Tillmann, M Weiss, The homotopy type of the cobordism category, Acta Math. 202 (2009) 195 MR2506750
4	S Galatius, O Randal-Williams, Monoids of moduli spaces of manifolds, Geom. Topol. 14 (2010) 1243 MR2653727
5	M Gómez López, The homotopy type of the PL cobordism category, II, Algebr. Geom. Topol. 25 (2025) 2613
6	M Gomez Lopez, A Kupers, The homotopy type of the topological cobordism category, Doc. Math. 27 (2022) 2107 MR4574235
7	J F P Hudson, Extending piecewise-linear isotopies, Proc. Lond. Math. Soc. 16 (1966) 651 MR202147
8	J F P Hudson, Piecewise linear topology, Benjamin (1969) MR248844
9	P T Johnstone, Sketches of an elephant: a topos theory compendium, II, 44, Oxford Univ. Press (2002) MR2063092
10	R C Kirby, L C Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, 88, Princeton Univ. Press (1977) MR645390
11	N H Kuiper, R K Lashof, Microbundles and bundles, II : Semisimplical theory, Invent. Math. 1 (1966) 243 MR216507
12	C P Rourke, B J Sanderson, Δ-sets, I : Homotopy theory, Q. J. Math. 22 (1971) 321 MR300281
13	C P Rourke, B J Sanderson, Introduction to piecewise-linear topology, 69, Springer (1972) MR350744
14	G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR353298
15	L C Siebenmann, Deformation of homeomorphisms on stratified sets, Comment. Math. Helv. 47 (1972) 123 MR319207
16	R E Williamson Jr., Cobordism of combinatorial manifolds, Ann. of Math. 83 (1966) 1 MR184242
17	E C Zeeman, Relative simplicial approximation, Proc. Cambridge Philos. Soc. 60 (1964) 39 MR158403