C-1-HOMOGENEOUS COMPACTA IN R(N) ARE C-1-SUBMANIFOLDS OF R(N)

Authors
REPOVS D SKOPENKOV AB SCEPIN EV
Citation
D. Repovs et al., C-1-HOMOGENEOUS COMPACTA IN R(N) ARE C-1-SUBMANIFOLDS OF R(N), Proceedings of the American Mathematical Society, 124(4), 1996, pp. 1219-1226
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
4
Year of publication
1996
Pages
1219 - 1226
Database
ISI
SICI code
0002-9939(1996)124:4<1219:CCIRAC>2.0.ZU;2-3
Abstract
We give the characterization of C-1-homogeneous compacta in R(n): Let K be a locally compact (possibly nonclosed) subset of R(n). Then K is C-1-homogeneous if and only if K is a C-1-submanifold of R(n).