Some new concepts of dimension and their generalization
Duda, R.
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Displaying similar documents to “Components and inductive dimensions of compact spaces”
Some new concepts of dimension and their generalization
Small Inductive Dimension of Topological Spaces
Karol Pąk (2009)
Formalized Mathematics
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We present the concept and basic properties of the Menger-Urysohn small inductive dimension of topological spaces according to the books [7]. Namely, the paper includes the formalization of main theorems from Sections 1.1 and 1.2.
A note on transfinite dimension
A. Pears (1971)
Fundamenta Mathematicae
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Essential mappings and transfinite dimension
P. Borst, Jan Dijkstra (1985)
Fundamenta Mathematicae
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Small Inductive Dimension of Topological Spaces. Part II
Karol Pąk (2009)
Formalized Mathematics
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In this paper we present basic properties of n-dimensional topological spaces according to the book [10]. In the article the formalization of Section 1.5 is completed.
A lower bound for transfinite dimension
David W. Henderson (1968)
Fundamenta Mathematicae
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The dimension of remainders of rim-compact spaces
J. Aarts, E. Coplakova (1993)
Fundamenta Mathematicae
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Answering a question of Isbell we show that there exists a rim-compact space X such that every compactification Y of X has dim(Y)≥ 1.