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Some productive classes of maps which arc related to confluent maps

Kazuhiro Kawamura — 1991

Fundamenta Mathematicae

On a compactification of the homeomorphism group of the pseudo-arc

Kazuhiro Kawamura — 1991

Colloquium Mathematicae

A continuum means a compact connected metric space. For a continuum X, H(X) denotes the space of all homeomorphisms of X with the compact-open topology. It is well known that H(X) is a completely metrizable, separable topological group. J. Kennedy [8] considered a compactification of H(X) and studied its properties when X has various types of homogeneity. In this paper we are concerned with the compactification $G_{P}$ of the homeomorphism group of the pseudo-arc P, which is obtained by the method of...

Low dimensional homotopy groups of suspensions of the Hawaiian earring

Kazuhiro Kawamura — 2003

Colloquium Mathematicae

We study the (n+1)st homotopy groups and the shape groups of the (n-1)-fold reduced and unreduced suspensions of the Hawaiian earring.

A note on singular homology groups of infinite products of compacta

Kazuhiro Kawamura — 2002

Fundamenta Mathematicae

Let n be an integer with n ≥ 2 and $X_{i}$ be an infinite collection of (n-1)-connected continua. We compare the homotopy groups of $Σ (\prod_{i} X_{i})$ with those of $\prod_{i} Σ X_{i}$ (Σ denotes the unreduced suspension) via the Freudenthal Suspension Theorem. An application to homology groups of the countable product of the n(≥ 2)-sphere is given.

Another application of the Effros theorem to the pseudo-arc

Kazuhiro Kawamura; Janusz Prajs — 1991

Fundamenta Mathematicae

Homotopy and homology groups of the n-dimensional Hawaiian earring

Katsuya Eda; Kazuhiro Kawamura — 2000

Fundamenta Mathematicae

For the n-dimensional Hawaiian earring $ℍ_{n},$ n ≥ 2, $π_{n} (ℍ_{n}, o) ≃ ℤ^{ω}$ and $π_{i} (ℍ_{n}, o)$ is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then $H_{n} (X \lor Y) ≃ H_{n} (X) \oplus H_{n} (Y) \oplus H_{n} (C X \lor C Y)$ for n ≥ 1.

Approximations of Stone-Cech compactifications by Higson compactifications

Kazuhiro Kawamura; Kazuo Tomoyasu — 2001

Colloquium Mathematicae

Topological type of weakly closed subgroups in Banach spaces

Tadeusz Dobrowolski; Janusz Grabowski; Kazuhiro Kawamura — 1996

Studia Mathematica

The main result says that nondiscrete, weakly closed, containing no nontrivial linear subspaces, additive subgroups in separable reflexive Banach spaces are homeomorphic to the complete Erdős space. Two examples of such subgroups in $ℓ^{1}$ which are interesting from the Banach space theory point of view are discussed.

On homogeneous totally disconnected 1-dimensional spaces

Kazuhiro Kawamura; Lex Oversteegen; E. Tymchatyn — 1996

Fundamenta Mathematicae

The Cantor set and the set of irrational numbers are examples of 0-dimensional, totally disconnected, homogeneous spaces which admit elegant characterizations and which play a crucial role in analysis and dynamical systems. In this paper we will start the study of 1-dimensional, totally disconnected, homogeneous spaces. We will provide a characterization of such spaces and use it to show that many examples of such spaces which exist in the literature in various fields are all homeomorphic. In particular,...

Independence complexes and edge covering complexes via Alexander duality.

Kawamura, Kazuhiro — 2011

The Electronic Journal of Combinatorics [electronic only]

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Currently displaying 1 – 10 of 10

Some productive classes of maps which arc related to confluent maps

On a compactification of the homeomorphism group of the pseudo-arc

Low dimensional homotopy groups of suspensions of the Hawaiian earring

A note on singular homology groups of infinite products of compacta

Another application of the Effros theorem to the pseudo-arc

Homotopy and homology groups of the n-dimensional Hawaiian earring

Approximations of Stone-Cech compactifications by Higson compactifications

Topological type of weakly closed subgroups in Banach spaces

On homogeneous totally disconnected 1-dimensional spaces

Independence complexes and edge covering complexes via Alexander duality.