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Limits and colimits in certain categories of spaces of continuous functions

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Grossman M. W.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction................................................................................................................................................................................5 § 1. Notation and preliminaries.............................................................................................................................................6 § 2. Epimorphisms and monomorphisms.........................................................................................................................7 § 3. Completeness and cocompleteness of the categories ℋ, $\bar{ℋ}$, $ℋ_S$ and ℋ 0$\bar{ℋ}_S$.........9 § 4. Limits and colimits in $\bar{ℋ}$ in terms of limits and colimits in Arch and Compconv..................................14 § 5. Limits and colimits in Compconv in terms of limits and colimits in $\bar{ℋ}$....................................................23 § 6. Retracts and free objects................................................................................................................................................32 References................................................................................................................................................................................35

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1 Grossman M. W.

1 1970

Wyniki wyszukiwania

Limits and colimits in certain categories of spaces of continuous functions