Topological characteristics of free bases of topological groups and topological vector spaces

被引:0
作者
Burova T.V.
机构
关键词
Topological Group; Topological Vector Space; Countable Union; Cohomological Dimension; Nonempty Open Subset;
D O I
10.1007/BF02434915
中图分类号
学科分类号
摘要
Mutual dimensional properties of basis-equivalent (b-equivalent) and weakly l-equivalent topological spaces are studied. It is shown that the b-equivalence does not preserve bicompactness; in particular, b-equivalent topological spaces can be non-l-equivalent. ©1998 Plenum Publishing Corporation.
引用
收藏
页码:3380 / 3386
页数:6
相关论文
共 18 条
  • [1] Arkhangel'skii A.V., Topological Spaces and Continuous Mappings. Remarks on Topological Groups [in Russian], (1969)
  • [2] Burova T.V., Properties of b-equivalent spaces, Geometry, Topology, and Applications (Collection of Papers), pp. 75-77, (1990)
  • [3] Burov Yu.A., On mutual decompositions of b-equivalent spaces, Interim Report of the Prague Topological Symposium, 2, 1987, (1987)
  • [4] Burov Yu.A., On mutual decompositions of, Geometry, Topology, and Applications (Collection of Papers), 5, pp. 56-60, (1990)
  • [5] Burov Yu.A., On mutual decompositions of weak topological bases of a topological vector space, Usp. Mat. Nauk, 39, 5, pp. 237-238, (1984)
  • [6] Burov Yu.A., Properties of (weakly) l-equivalent spaces, General Topology. Mappings of Topological Spaces, pp. 13-19, (1986)
  • [7] Graev M.I., Free topological groups, Izv. Akad. Nauk SSSR, Ser. Mat., 12, 3, pp. 279-324, (1948)
  • [8] Graev M.I., Theory of topological groups, Usp. Mat. Nauk, 5, 2, pp. 3-56, (1950)
  • [9] Zambakhidze L.G., Pasynkov B.A., Behavior of functions of dimensional type on certain special classes of spaces, Soobshch. Akad. Nauk SSSR, 79, pp. 549-552, (1975)
  • [10] Zambakhidze L.G., On relations between dimensions and cardinal-valued functions of spaces embeddable in spaces of special form, Soobshch. Akad. Nauk SSSR, 100, pp. 557-560, (1980)