$CP^2$ and $\bar{CP^2}$ are not diffeomorphic since they have non-isomorphic intersection forms. so why do we call the latter $CP^2$ with reverse orientation? it seems like we are not just reversing a given orentation on $CP^2$ to get $\bar {CP^2}$.
I am confused by the orientation of a topological manifold. My understanding is: An orientation of a topological manifold is a choice of generator of the $H^n(M,\mathbb Z)$. So given a manifold, we could have 2 orientation defined on the manifold. For $\mathbb{CP}^2$ on orientation is determined by the complex structure, the other orientation is denoted by $\overline{\mathbb{CP}}^2$. And it is well known that there is no orientation reversing map from $\mathbb{CP}^2$ to itself.  My question is: are they homeomorphic? I guess they are not homeomorphic. But I am confuesed, doesn't the orientations defined on the same manifold, how come after reversing the orientation they become not homeomorphic?
Is there any way to distribute spacing equally in every object?    Is there any option to do? I want 2MM spacing in every geometrical shape.  Thanks in advance. Why has Earth's core not become solid? I have a Word file which has some Excel plots in it. Unfortunately I lost the original excel plots and the word file is now 'de-linked'.   Is there a way to retrieve the lost data for the plots? Just copying the plot back to Excel does not seem to work, but I can see that the data is still there somewhere, because hovering over a dot on the plot shows the values. Is there an online community to find travel partners (for mountains, sightseeing etc.)? Is there an online community to find travel partners for mountain trekking or sightseeing, or anything else?  I don't want to travel to foreign mountains alone, but I don't know where to search for company. There's a great community for accommodation (I mean CouchSurfing) so I think there should be something in "reverse" direction (searching not the place to stay but the people to go with). Calculus of variations -- how does it make sense to vary the position and the velocity independently? Is it possible to disable X at boot time? I'm setting up a server so it would be nice if it wouldn't load the graphical interface every time I boot. How much meat should I serve per person? Catering a small event tomorrow for twenty people. Serving beef brisket, pulled pork, and veggie lasagna. Question is how much brisket &amp; pork should  allow for each person? also serving  three sides, rolls, etc. How do I select multiple elements and a class in JQuery Difference between "did + verb" and just "verb+ed" This is something I always get confuse with (native language German). As far as I know "did + verb" is something done and finished in the past. But isn't it the same with "verb + ed"? Do I need a visa to visit the UK with my EU partner? I am not from EU. I have Spanish partner and we live in Spain and, because of our official relationship, I have a Spanish family resident permit. We are going to travel to the UK together for tourism. I am confused whether I need an EEA family permit or not.  I will not live there and I'm going to travel with my partner. I was told that I don't need a visa, that showing our civil union document will be sufficent. Is this correct, or do I need a visa to enter the UK?    Thank you so much for your answer. Let me give you more detail.  I hold Turkish citizenship.  My resident card exactly says that Residence Card of a Family Member of a Union Citizen " tarjeta de familiar de la union.   my case is like For example, a non-EEA spouse of a German national living in Germany will usually hold a residence permit issued under German domestic law. Therefore, a United Kingdom EEA family permit is required for travel and entry to the UK , therefore I should consider that I need to EEA Family Permit even if for touristic trip with my partner. Socket Tester all indicators light up How to remove a filter that is an anonymous object? In my functions.php file I would like to remove the below filter, but I'm not sure how to do it since it's in a class. What should remove_filter() look like?  add_filter('comments_array',array( &amp;$this, 'FbComments' ));   It's on line 88 . IOS 5.1.1 Safemode problem I jailbroke my old iPod Touch 3rd Generation, with IOS 5.1.1, using the latest version of absynthe. It worked for several months, but then it randomly stopped. It went into safe mode, but the touch screen wouldn't work. It showed the lockscreen, but nothing worked at all, except for the physical buttons. The only way to reboot is to follow the same steps as DFU mode (Hold power button 3 sec, then home button AND power for 10, then just home for 8)... However, it always boots right back into Safe mode.  I had to restore, and once rejailbroken, it worked fine, until I installed SBsettings. Then it did the EXACT same thing, and I had to restore and re-jailbreak AGAIN! The other day, I finished installing ALL of my extensive list of tweaks, and got it to about where I wanted it, when lo and behold, it booted to safe mode again. I have spent so much time on this, and I do not want to do it again. Does anybody here have any knowledge on the topic? Is there a program I can run from my computer to manually control the device or kick it out of safe mode? Is there some other method of doing this? I am looking for any solution OTHER than restoring. I have done that several times.  Also, I know the problem isn't with my jailbreak. It worked for several months before, then one day stopped. Now, it has the problem within a day of rejailbreaking, OR instantly if I install SBsettings. I re-installed the jailbreak, and applied the new one as well, and that didn't work. I have given up, and don't want to go through the painful process of restoring, rejailbreaking, and re-installing all of those tweaks again.  Also, because I can't get into my iPod, I can't provide a list of tweaks. I would if I could, but it just can't happen unless I can get in there. How to peel hard boiled eggs easily? This is one of the most annoying duties in the kitchen, for me.  What are yours tips and tricks to peel hard boiled eggs easily? How do I set a static IP address in Windows? I have a table to store StudentID, SubjectID, ObtainedMarks. Now I have to create a pivot table to show studentID and obtainedMarks in different subject. Number of subject may differ. I could generate pivot table for fixed subjectID like    SELECT * FROM (SELECT StudentID, SubjectID, ObtainedMarks from [Exam].[ObtainedMarkEntry]) as InvoiceResult PIVOT (     sum(ObtainedMarks) for [SubjectID] in  ([1],[2],[3],[4]) )as finalResult   This works but problem is 1,2,3 is not static it should come from same table   So I did something like   declare @minvalue int, @maxvalue int declare @myArray varchar(max) set @MyArray=''  select RowID=IDENTITY(int, 1,1), SubjectID into #tempSubject from [Exam].[ObtainedMarkEntry] select * from #tempSubject set @minvalue = (select min(RowID) from #tempSubject) set @maxvalue = (select max(RowID) from #tempSubject) while (@minvalue&lt;=@maxvalue) begin     declare @sid nvarchar(10)     set @sid=(select SubjectID from #tempSubject where RowID=@minvalue)     set @myArray= @myArray + '[' + @sid + '], '      set @minvalue= @minvalue+1 end set @myArray= SUBSTRING(@myArray,0,len(@myArray)) drop table #tempSubject  declare @q as nvarchar(max) SELECT * FROM (SELECT StudentID, SubjectID, ObtainedMarks  from [Exam].[ObtainedMarkEntry]) as InvoiceResult PIVOT (     sum(ObtainedMarks) for [SubjectID] in  (@myArray) )as finalResult   Now I am getting error at in(@myArray) can't I assign variable in this section. In Minecraft, the NBT (Named Binary Tag) format is used to store data of our Minecraft worlds, including block, entity, and item properties. In the Java Edition of Minecraft, you can modify this data by including the data in the command, like so: /give @s diamond_sword{Enchantments:[{id:&quot;minecraft:knockback&quot;,lvl:10s}]}  In the Bedrock Edition, on the other hand, NBT is inaccessible from commands. In order to modify NBT, we need to use an external editor. What are some useful item properties that I can modify with an NBT editor, and how can I do so?  Related: C: pointer to struct in the struct definition How to Select Hyperlink Text in Google Chrome? I am running Google Chrome 5. How can I select hyper link text using the mouse with, for example, CTRL or ALT keys? Site hosted on EC2 / Amazon held hostage with private key I have a new client whose previous developer has left her high &amp; dry with her site on Amazon/EC2. He holds the private key to the instance, and though she has full access to the Amazon control panel (she's paying $300/mo for a site that has like 3 visitors per week) she doesn't have any way to get her content off and move to a new host.  I'm not familiar with AWS and am not sure how to help her. The site's group/file permissions are screwed up on the server so exporting the content/database via her WordPress control panel isn't working.  Any ideas on how to help her? Thanks!