Title:
|
A note on embeddings manifolds into topological groups preserving dimensions (English) |
Author:
|
Kato, Hisao |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
42 |
Issue:
|
4 |
Year:
|
1992 |
Pages:
|
619-622 |
. |
Category:
|
math |
. |
MSC:
|
22A05 |
MSC:
|
54F45 |
MSC:
|
54H11 |
MSC:
|
55M10 |
idZBL:
|
Zbl 0783.55002 |
idMR:
|
MR1182193 |
DOI:
|
10.21136/CMJ.1992.128372 |
. |
Date available:
|
2009-09-24T09:24:47Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128372 |
. |
Reference:
|
[1] J. F. Adams: On the non-existence of elements of Hopf invariant one.Ann. of Math. 72 (1960), 20–104. Zbl 0096.17404, MR 0141119, 10.2307/1970147 |
Reference:
|
[2] V. K. Bel’nov: Dimension of topologically homogeneous spaces and free homogeneous spaces.Soviet Math. Dokl. 19 (1978), 86–89. MR 0493947 |
Reference:
|
[3] R. Engelking: Dimension Theory.PWN, Warszawa, 1977. MR 0482696 |
Reference:
|
[4] W. W. Comfort: Topological groups.Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan (eds.), North-Holland Amsterdam, 1984, pp. 1143–1263. Zbl 0604.22002, MR 0776643 |
Reference:
|
[5] H. Kato: Embeddings into topological groups and dimensions.unpublished. |
Reference:
|
[6] T. Kimura: Dimensions of topological groups containing the bouquet of two circles.Proc. Amer. Math. Soc. (to appear). Zbl 0771.54033, MR 1079892 |
Reference:
|
[7] D. Montgomery and L. Zippin: Topological transformation groups.Interscience, 1955. MR 0073104 |
Reference:
|
[8] D. B. Shakhmatov: Closed embeddings into pseudocompact spaces preserving the covering dimension.Vestnik Moskov. Univ. Ser. I Matem. Mekh. 43 (1988), 69–71. Zbl 0651.54006, MR 0934549 |
Reference:
|
[9] D. B. Shakhmatov: Imbeddings into topological groups preserving dimensions.Top. Appl. 36 (1990), 181–204. Zbl 0709.22001, MR 1068169 |
Reference:
|
[10] D. B. Shakhmatov: A survey of current reserches and open problems in the dimension theory of topological groups.Questions and Answers in Gen. Topology 8 (1990), 101–118. MR 1043208 |
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