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nLab > Latest Changes: linearly compact module

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  1.  
    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeApr 8th 2015

    New entry linearly compact module with many redirects, just to record some references.

    New book entry Abelian categories with applications to rings and modules, to record its contents.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeSep 4th 2016

    I added a bit of substance to the entry linearly compact module and a redirect linearly compact vector space.

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 23rd 2019

    Added a definition for modules over topological rings. Cross-linked to pseudocompact modules.

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorGuest
    • CommentTimeNov 25th 2021
    Perhaps it is my English, but

    >open affine subspaces form a basis for the topology

    Seems ambiguous. How is an affine subspace already open if you are defining the topology? Are we using the subspace topology and defining a new topology?
    • CommentRowNumber5.
    • CommentAuthorHurkyl
    • CommentTimeNov 25th 2021

    There’s no ambiguity. If you have a topological vector space, you have open affine subspaces. If you have a topology and a family of subsets, you can ask if those subsets are a basis for the topology.

1 to 5 of 5

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