Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Nobuyuki Kemoto"'
Autor:
Nobuyuki Kemoto, Toshimichi Usuba
Publikováno v:
Topology and its Applications. 318:108194
Autor:
Nobuyuki Kemoto
Publikováno v:
Topology and its Applications. 240:35-58
Autor:
Nobuyuki Kemoto
Publikováno v:
Topology and its Applications. 232:267-280
It is known that lexicographic products of paracompact LOTS's are also paracompact, see [2] . In this paper, the notion of lexicographic products of GO-spaces is defined. We characterize when a lexicographic product of GO-spaces is a LOTS. Moreover,
Autor:
Nobuyuki Kemoto
Publikováno v:
Topology and its Applications. 231:276-291
In [4] , it is asked whether orthocompact products of two GO-spaces are normal or not. In this paper, we see that a product of a GO-space and a countably compact GO-space is normal iff it is orthocompact. Also we prove that a normal product of a GO-s
Autor:
Yasushi Hirata, Nobuyuki Kemoto
Publikováno v:
Topology and its Applications. 284:107357
We will calculate the weight of lexicographic products of GO-spaces, using this we will see: • the assertion that the weight of the lexicographic product 2 ω 1 is ℵ 1 is equivalent to the Continuum Hypothesis (CH), that is, 2 ℵ 0 = ℵ 1 , •
Autor:
Nobuyuki Kemoto, Yasushi Hirata
Publikováno v:
Topology and its Applications. 178:1-16
The second author and Smith proved that the product of two ordinals is hereditarily countably metacompact [5] . It is natural to ask whether X × Y is countably metacompact for every LOTS' X and Y. We answer the problem negatively, in fact, for every
Publikováno v:
Topology and its Applications. 164:45-86
We give several characterizations of normality, orthocompactness and rectangularity for products of monotonically normal spaces and various special factors in terms of some neighborhood properties of the factors. Such a special factor is a compact fa
Publikováno v:
Topology and its Applications. 162:34-42
Let CL(X) and K(X) denote the hyperspaces of non-empty closed and non-empty compact subsets of X, respectively, with the Vietoris topology. In this paper we show that, given an ordinal number γ, the space K([0,γ)) is C-embedded in CL([0,γ)) if and
Autor:
Nobuyuki Kemoto
Publikováno v:
Topology and its Applications. 162:20-33
The usual Tychonoff product space of arbitrary many compact (ω-bounded) spaces is well-known to be also compact (ω-bounded). In this paper, we compare the lexicographic ordered topologies on some products of ordinals with the Tychonoff product topo
Autor:
Nobuyuki Kemoto, Jun Terasawa
Publikováno v:
Topology and its Applications. 157(15):2376-2382
For a space X, 2 X denotes the collection of all non-empty closed sets of X with the Vietoris topology, and K ( X ) denotes the collection of all non-empty compact sets of X with the subspace topology of 2 X . The following are known: • 2 ω is not