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Ordinal products of topological spaces

100%

Chatyrko V. A.

Fundamenta Mathematicae

1994

tom 144

nr 2

95-117

The notion of the ordinal product of a transfinite sequence of topological spaces which is an extension of the finite product operation is introduced. The dimensions of finite and infinite ordinal products are estimated. In particular, the dimensions of ordinary products of Smirnov's [S] and Henderson's [He1] compacta are calculated.

On finite sum theorems for transfinite inductive dimensions

100%

Chatyrko V. A.

Fundamenta Mathematicae

1999

tom 162

nr 1

91-98

We discuss the exactness of estimates in the finite sum theorems for transfinite inductive dimensions trind and trInd. The technique obtained gives an opportunity to repeat and sometimes strengthen some well known results about compacta with trind ≠ trInd. In particular we improve an estimate of the small transfinite inductive dimension of Smirnov's compacta $S^α, α < ω_1$, given by Luxemburg [Lu2].

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Chatyrko V. A.

1 1999

1 1994

Wyniki wyszukiwania

Ordinal products of topological spaces

On finite sum theorems for transfinite inductive dimensions