Create Your Own Personal Web Page at UI

HTML special characters and symbols

Getting started with HTML

If you use html, you can start a new paragraph, but putting <P> between your paragraphs.

Please choose at least one question and e-mail me the answer in either html or pdf form. If you used latex, please also e-mail me the latex file. Your answer should be as complete as possible. For example, if a property does not hold for arbitrary subspaces, does it hold for subspaces which are closed or open or etc, in the big space. If a property does not hold true for all subspaces, give counter-examples (open/closed/etc).

When you send your file, please also e-mail me the following html code: <a href="FALL08/filename"> answer </a> where answer might be yes (if holds for arbitrary), open, closed, sometimes, no, etc.

filename should be row_column.html or column_row.pdf (for example, T0_subspace.html).

If you use html, please use the following header: <h3><a name=" row_column">A column of a row space is/is not row </a></h3>
where instead of "A column of a row space is/is not row", use a descriptive title.

If you are also sending a latex file, please e-mail me the following html code:
<a href="FALL08/filename.pdf"> answer </a>&nbsp; <a href="FALL08/filename.tex"> latex </a>
answer   latex

Note many of the links below are broken. I will fix that over the weekend (and check if the table below is correct).

subspace product image metric compact Hausdorff
T0 MF Yes Yes
T1 MF Yes Yes
T2 MF WY Yes Yes
regular Yes   latex Yes
completely regular Yes   latex Yes
normal MF Yes
subspace product image metric compact Hausdorff
connected counterexample   latex JR yes
locally connected Open
path connected HJA
locally path connected
subspace product image metric compact Hausdorff
compact counterexample   latex   sometimes   latex yes Yes
locally compact Yes   latex
limit point compact CG answer answer   latex
sequentially compact KO
Lindelof WY yes   latex
locally compact Hausdorff Yes   latex
subspace product image metric compact Hausdorff
2nd countable Yes   latex YS
1rst countable YS YS
separable not necessarily, closed yes, open no   latex yes   latex
metrizable yes
locally metrizable