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nLab > Latest Changes: combinatorial map

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  1. I created a page for combinatorial map, as well as a stub for topological map.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 20th 2015
    • (edited Mar 20th 2015)

    Thanks.

    Are there pointers to these entries from other nnLab entries (except the cross-link betwee then two entries themselves)? Please make sure that there are enough pointers to these entries from relevant other entries, so that people have a chance to find them without a priori knowing that they are looking for them.

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeMar 20th 2015
    • (edited Mar 20th 2015)

    Re surface in topological map: I guess you mean a connected orientable closed (= compact without boundary) 2-manifold.

    • CommentRowNumber4.
    • CommentAuthorNoam_Zeilberger
    • CommentTimeMar 20th 2015
    • (edited Mar 20th 2015)

    Urs: hmm, okay, I will think of adding some links.

    Todd: yes, I think that’s right. (Checking Lando & Zvonkin…yes, they define “surface” as “compact oriented two-dimensional topological manifold”.)

  5. (so what you said, together with a fixed orientation.)

  6. I have tweaked the articles to express that it is possible to consider topological maps on non-oriented surfaces (which people apparently do, though I don’t know if such embedded graphs also have a straightforward connection to combinatorial maps). I also added mutual links with the article ribbon graph, since those are very similar to combinatorial maps.

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