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For metrizable continua, there exists the well-known notion of a Whitney map. If $X$ is a nonempty, compact, and metric space, then any Whitney map for any closed subset of $2^{X}$ can be extended to a Whitney map for $2^{X}$ [3, 16.10 Theorem]. The main purpose of this paper is to prove some generalizations of this theorem.

Extension of measures: a categorical approach

Roman Frič (2005)

Mathematica Bohemica

We present a categorical approach to the extension of probabilities, i.e. normed $σ$ -additive measures. J. Novák showed that each bounded $σ$ -additive measure on a ring of sets $𝔸$ is sequentially continuous and pointed out the topological aspects of the extension of such measures on $𝔸$ over the generated $σ$ -ring $σ (𝔸)$ : it is of a similar nature as the extension of bounded continuous functions on a completely regular topological space $X$ over its Čech-Stone compactification $β X$ (or as the extension of continuous...

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Exponentiability in lax slices of $𝒯 o p$ .

Exponentiable embeddings in totally reflective subcategories of $T O P$

Exponential objects in the construct $𝑃𝑅𝐴𝑃$

Exponentially Complete Spaces II

Exponentially complete spaces II.

Exponentially Complete Spaces III

Exponentially complete spaces III.

Exponentially Complete Spaces IV

Exponentially complete spaces IV.

Extended topology: continuity - I

Extended topology: perfect sets

Extended Topology: Structure of Isotonic Functions.

Extending generalized Whitney maps

Extension of measures: a categorical approach

Extensionable topological hulls and topological universe hulls inside the category of pseudotopological spaces

Extensions of functions defined on product spaces

Extensions of functions from products with compact or metric factors

Extensions of Semicontinuous Multifunctions.

Currently displaying 21 – 38 of 38