Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Kohzo Yamada"'
Autor:
Kusuo Nishijima, Kohzo Yamada
Publikováno v:
Applied General Topology, Vol 8, Iss 2, Pp 151-159 (2007)
A metric space X is called straight if any continuous real-valued function which is uniformly continuous on each set of a finite cover of X by closed sets, is itself uniformly continuous. Let C be the convergent sequence {1/n : n ϵ N} with its limit
Externí odkaz:
https://doaj.org/article/7683e85a19174fa0933133457ddfa7d3
Autor:
Kohzo Yamada
Publikováno v:
Topology and its Applications. 256:104-112
Autor:
Kohzo Yamada
Publikováno v:
Topology and its Applications. 210:81-89
Let F ( X ) be the free topological group on a Tychonoff space X. For all natural numbers n we denote by F n ( X ) the subset of F ( X ) consisting of all words of reduced length ≤n. In [9] , the author found equivalent conditions on a metrizable s
Autor:
Kohzo Yamada
Publikováno v:
Proceedings of the American Mathematical Society. 130:2461-2469
Let F(X) and A(X) be respectively the free topological group and the free Abelian topological group on a Tychonoff space X. For every natural number n we denote by F n (X) (A n (X)) the subset of F(X) (A(X)) consisting of all words of reduced length
Autor:
Vladimir Pestov, Kohzo Yamada
Publikováno v:
Topology and its Applications. 98:291-301
We prove that for a metrizable space X the following are equivalent: (i) the free Abelian topological group A(X) is the inductive limit of the sequence {A n (X):n∈ N } , where A n (X) is formed by all words of reduced length ≤n ; (ii) X is locall
Autor:
Haruto Ohta, Kohzo Yamada
Publikováno v:
Tsukuba J. Math. 22, no. 1 (1998), 39-48
Autor:
Yasunao Hattori, Kohzo Yamada
Publikováno v:
Topology and its Applications. 82(1-3):181-194
Pol (1996) and Arenas (1996) independently introduced transfinite extensions of finite order of mappings by the use of the length of a partially ordered set and Borst's order, respectively. By use of the transfinite order of mappings, Arenas introduc
Publikováno v:
Topology and its Applications. 62:163-171
Let F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the spaces R , Q , R , Q , βω, βω ω and 2/gk for an infinite κ and if F(X) or A(X) contains a copy of P, then X contains a copy of P. If P is the one-point
Publikováno v:
Topology and its Applications. 60:109-115
Let R n be the Euclidean space with the standard metric d. In this paper, we prove the following: 1. Let n⩾3 and X be a nondegenerate, i.e., containing more than one point, compact subset of R n such that for each pair x,y of distinct points of X,
Autor:
Kohzo Yamada
Publikováno v:
Topology and its Applications. 49:75-94
Let X be a metrizable space, then we obtain the following results. (1) The following are equivalent: 1. (a) An(X) is a k-space for each n ∈ N 2. (b) A4(X) is a k-space, 3. (c) the canonical mapping in : (X⊕−X⊕{0})n→An(X) is quotient for eac