Compact contractible $n$-manifolds have arc spines $(n\geq 5)$.

previous :: next

Compact contractible $n$-manifolds have arc spines $(n\geq 5)$.

Fredric D. Ancel and Craig R. Guilbault

Source: Pacific J. Math. Volume 168, Number 1 (1995), 1-10.

First Page: Show

Primary Subjects: 57Q15

Secondary Subjects: 54C99, 57N15, 57N45

Full-text: Open access

PDF File (1088 KB)
DjVu File (196 KB)

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102620675
Zentralblatt MATH identifier: 0820.57014
Mathematical Reviews number (MathSciNet): MR1331991

back to Table of Contents

References

[1] J. L. Bryant and R. C. Lacher, Mapping cylinder neighborhoods on one- complexes in four-space, Trans. Amer. Math. Soc. 164 (1972), 333-339.

Mathematical Reviews (MathSciNet): MR45:2718

Zentralblatt MATH: 0235.57006

[2] E. H. Connell, A topological h-cobordism theorem, Illinois J. Math., 11 (1967), 300-309.

Mathematical Reviews (MathSciNet): MR35:3673

Zentralblatt MATH: 0146.45201

[3] R. J. Daverman and F. C. Tinsley, Laminations, finitely generated perfect groups, and acyclic maps, Michigan Math. J., 33 (1986), 343-351.

Mathematical Reviews (MathSciNet): MR87k:57016

Zentralblatt MATH: 0616.57010

[4] R. J. Daverman and F. C. Tinsley, Acyclic maps whose mapping cylinders embed in ^-manifolds, Houston J. of Math, 16 (1990), 255-270.

Mathematical Reviews (MathSciNet): MR92e:57031

Zentralblatt MATH: 0718.57008

[5] J. Dugundji, Topology, Allyn and Bacon, 1966.

Mathematical Reviews (MathSciNet): MR33:1824

[6] R. D. Edwards, The topology of manifolds and cell-like maps, Proc. Inter- nat. Congress of Mathematicians, Helsinki, 1978 (Lethi, O., ed.) Acad. Sci. Fenn. 1980, Helsinki, 111-127.

Mathematical Reviews (MathSciNet): MR81g:57010

Zentralblatt MATH: 0428.57004

[7] M. H. Freedman, The topology of four-dimensional manifolds, J. Differ- ential Geom., 17 (1982), 357-453.

Mathematical Reviews (MathSciNet): MR84b:57006

Zentralblatt MATH: 0528.57011

[8] J. C. Hausmann, Homological surgery, Annals of Math., 104 (1976), 573- 584.

Mathematical Reviews (MathSciNet): MR54:11356

Zentralblatt MATH: 0359.57020

[9] S. T. Hu, Homotopy Theory, Academic Press, 1959.

Mathematical Reviews (MathSciNet): MR21:5186

[10] S. T. Hu, Theory of Retracts, Wayne State University Press, 1965.

Mathematical Reviews (MathSciNet): MR31:6202

Zentralblatt MATH: 0145.43003

[11] M. A. Kervaire, Smooth homology spheres and their fundamental groups, Trans. Amer. Math. Soc, 144 (1969), 67-72.

Mathematical Reviews (MathSciNet): MR40:6562

Zentralblatt MATH: 0187.20401

[12] R. C. Kirby and L. C. Siebenmann, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc, 75 (1969), 742-749.

Mathematical Reviews (MathSciNet): MR39:3500

Zentralblatt MATH: 0189.54701

[13] R. Lashof and M. Rothenberg, Microbundles and smoothing, Topology, 3 (1964), 357-388.

Mathematical Reviews (MathSciNet): MR31:752

Zentralblatt MATH: 0141.40601

[14] W. B. R. Lickorish and L. C. Siebenmann, Regular neighborhoods and the stable range, Trans. Amer. Math. Soc, 139 (1969), 207-230.

Mathematical Reviews (MathSciNet): MR39:962

Zentralblatt MATH: 0195.53801

[15] M. H. A. Newman, Boundaries of ULC sets in Euclidean n-space, Proc Natl. Acad. Sci., USA 34 (1948), 193-196.

Mathematical Reviews (MathSciNet): MR10:56g

Zentralblatt MATH: 0036.12801

[16] V. Nicholson, Mapping cylinder neighborhoods, Trans. Amer.Math. Soc, 143 (1969), 259-268.

Mathematical Reviews (MathSciNet): MR40:2038

Zentralblatt MATH: 0201.56203

[17] D. G. Wright, Sticky arcs in En(n > 4), Proc Amer. Math. Soc, 66 (1977), 181-182.

Mathematical Reviews (MathSciNet): MR58:24274

Zentralblatt MATH: 0372.57009

previous :: next

Pacific Journal of Mathematics

Credits

Turn MathJax Off
What is MathJax?