A fundamental theorem on decompositions of the sphere into points and tame arcs

Author:
Kyung Whan Kwun

Journal:
Proc. Amer. Math. Soc. **12** (1961), 47-50

MSC:
Primary 54.00

DOI:
https://doi.org/10.1090/S0002-9939-1961-0120610-4

MathSciNet review:
0120610

Full-text PDF

References | Similar Articles | Additional Information

**[1]**R. Bing,*A decomposition of into points and tame arcs such that the decomposition space is topologically different from*, Ann. of Math. vol. 65 (1957). MR**0092961 (19:1187g)****[2]**M. Curtis and R. Wilder,*The existence of certain types of manifolds*, Trans. Amer. Math. Soc. vol. 91 (1959) pp. 152-160. MR**0102817 (21:1603)****[3]**H. Griffiths,*A contribution to the theory of manifolds*, Michigan Math. J. vol. 2 (1953) pp. 61-89. MR**0063669 (16:159e)****[4]**R. Roxen,*is the Cartesian product of a totally non-euclidean space and*, Notices Amer. Math. Soc., Abstr. 563-1, vol. 6 (1959) p. 641.**[5]**S. Smale,*A Vietoris mapping theorem for homotopy*, Proc. Amer. Math. Soc. vol. 8 (1957) pp. 604-610. MR**0087106 (19:302f)****[6]**R. Wilder,*Monotone mappings of manifolds*, Pacific J. Math. vol. 3 (1957) pp. 1519-1528. MR**0092966 (19:1188e)****[7]**-,*Monotone mappings of manifolds*II, Michigan Math. J. vol. 5 (1958) pp. 19-25. MR**0097798 (20:4265)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
54.00

Retrieve articles in all journals with MSC: 54.00

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1961-0120610-4

Article copyright:
© Copyright 1961
American Mathematical Society