Categorical Aspects of Topology and Analysis

Giry, M. (1982). Categorical Aspects of Topology and Analysis. Springer.

Type

Book chapter

Intellectual base

Review or monograph

Year

1982

DOI

10.1007/bfb0092872

ISBN

9783540112112

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/bfb0092872

Cited by

2 citations across 2 artifacts.

Domain-specific

• Category of Markov kernels
  • … over the intermediate space, associativity and unit laws, deterministic measurable-function embedding, monoidal product when used and probability subprobability or s-finite variants are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..
• Giry monad
  • The sigma-algebra on measures is generated by evaluation maps, variants use subprobability or restricted measurable categories and composition must preserve measurability; it is not merely a set-valued distribution constructor.

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