Algebraic & Geometric Topology Volume 5, issue 4 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

The fundamental groups of subsets of closed surfaces inject into their first shape groups

Hanspeter Fischer and Andreas Zastrow

Algebraic & Geometric Topology 5 (2005) 1655–1676

DOI: 10.2140/agt.2005.5.1655

Bibliography

1	J W Cannon, G R Conner, On the fundamental groups of one-dimensional spaces, Topology Appl. 153 (2006) 2648 MR2243740
2	J W Cannon, G R Conner, A Zastrow, One-dimensional sets and planar sets are aspherical, Topology Appl. 120 (2002) 23 MR1895481
3	B Chandler, W Magnus, The history of combinatorial group theory, Studies in the History of Mathematics and Physical Sciences 9, Springer (1982) MR680777
4	D E Cohen, Combinatorial group theory: a topological approach, London Mathematical Society Student Texts 14, Cambridge University Press (1989) MR1020297
5	G R Conner, J W Lamoreaux, On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane, Fund. Math. 187 (2005) 95 MR2214874
6	M L Curtis, M K Fort Jr., Singular homology of one-dimensional spaces, Ann. of Math. $(2)$ 69 (1959) 309 MR0105103
7	K Eda, The fundamental groups of one-dimensional wild spaces and the Hawaiian earring, Proc. Amer. Math. Soc. 130 (2002) 1515 MR1879978
8	K Eda, K Kawamura, The fundamental groups of one-dimensional spaces, Topology Appl. 87 (1998) 163 MR1624308
9	H Fischer, C R Guilbault, On homotopy properties of certain Coxeter group boundaries, from: "Proceedings of the 19th Annual Workshop in Geometric Topology, Calvin College, Grand Rapids, Michigan" (2002) 39
10	H Fischer, C R Guilbault, On the fundamental groups of trees of manifolds, Pacific J. Math. 221 (2005) 49 MR2194145
11	H B Griffiths, The fundamental group of two spaces with a common point, Quart. J. Math., Oxford Ser. $(2)$ 5 (1954) 175 MR0065156
12	H B Griffiths, A note on commutators in free products, Proc. Cambridge Philos. Soc. 50 (1954) 178 MR0061107
13	U Karimov, D Repovš, W Rosicki, A Zastrow, On two-dimensional planar compacta not homotopically equivalent to any one-dimensional compactum, Topology Appl. 153 (2005) 284 MR2175352
14	D König, Theorie der endlichen und unendlichen Graphen, Teubner-Archiv zur Mathematik, BSB B. G. Teubner Verlagsgesellschaft (1986) 348 MR886676
15	S Mardešić, J Segal, Shape theory, North-Holland Mathematical Library 26, North-Holland Publishing Co. (1982) MR676973
16	J W Morgan, I Morrison, A van Kampen theorem for weak joins, Proc. London Math. Soc. $(3)$ 53 (1986) 562 MR868459
17	C Pommerenke, Boundary behaviour of conformal maps, Grundlehren der Mathematischen Wissenschaften, Springer (1992) MR1217706
18	G T Whyburn, Topological characterization of the Sierpiński curve, Fund. Math. 45 (1958) 320 MR0099638
19	A Zastrow, Planar sets are aspherical, Habilitationsschrift, Ruhr-Universität Bochum (1997)
20	A Zastrow, The second van–Kampen theorem for topological spaces, Topology Appl. 59 (1994) 201 MR1299718