Previous |  Up |  Next

Article

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unpublished.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
.

Files

Files Size Format View
CzechMathJ_42-1992-4_5.pdf 492.3Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo