Download e-book for iPad: A cardinal preserving extension making the set of points of by Moti Gitik, Itay Neeman, Dima Sinapova

By Moti Gitik, Itay Neeman, Dima Sinapova

Assuming huge cardinals we produce a forcing extension of V which preserves cardinals, doesn't upload reals, and makes the set of issues of countable V cofinality in κ+ nonstationary. carrying on with to strength additional, we receive an extension during which the set of issues of countable V cofinality in ν is nonstationary for each usual ν ≥ κ+. ultimately we convey that our huge cardinal assumption is perfect.

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26 . CHAPTER Working with Ranges A 1 Excel merges the selected cells into a single cell. 5 Type your text in the merged cell. TIP How do I center text across multiple columns? This is a useful technique for your worksheet titles or headings. You can center a title across the entire worksheet, or you can center a heading across the columns that it refers to. Follow steps 1 to 3 and then click Merge & Center. Excel creates the merged cell and formats the cell with the Center alignment option. Any text you enter into the merged cell appears centered within the cell.

42 Delete a Range Name . . . . . . . . . . 44 Paste a List of Range Names . . . . . . . . 46 Understanding the Benefits of Using Range Names A range name is a text label that you apply to a single cell or to a range of cells. Once you have defined a name for a range, you can use that name in place of the range coordinates, which has several benefits. These benefits include making your worksheets more intuitive and making your work more accurate. In addition, a range name is easier to remember than range coordinates, it does not change when you move the underlying range, and it makes it easier to navigate your worksheets.

Yes. To freeze just the top row, click View, click Freeze Panes, and then click Freeze Top Row. To freeze just the first column, click View, click Freeze Panes, and then click Freeze First Column. Note that in both cases you do not need to select a cell in advance. How do I unfreeze a row or column? If you no longer require a row or column to be frozen, you can unfreeze it by clicking View, clicking Freeze Panes, and then clicking Unfreeze Panes. 25 Merge Two or More Cells Y ou can create a single large cell by merging two or more cells.

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A cardinal preserving extension making the set of points of countable V cofinality nonstationary by Moti Gitik, Itay Neeman, Dima Sinapova


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