If $X$ is homeomorphic to subset of set $Y$ and $Y$ is homeomorphic to subset of $X$ then are $X$ and $Y$ homeomorphic?
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
I live in an apartment which provides Internet service included in the rent. They use a company called Pavlov for the Internet    wireless seems to be working fine but wired connection is at least %30 faster.  Ethernet, Cat5 outlet is built in the wall, and there is only 1 outlet in each room.  I would like to take this 1 outlet coming out the wall and multiply it into 4 wires, for desktop, Playstation, TV and laptop, without losing any Internet bandwidth.   I have absolutely no idea whether this line is coming from a switch or a router but I have been researching Ethernet splitter, routers, switches, hubs and haven't found a solid answer.   Is there a way I can do this?  This picture cleared up few things:     It seems that an Ethernet switch is to Ethernet as a USB hub is to USB, but with packet inspection.  What is a 10/100Mbps Network Switch, actually, and what is the cap? A word used to describe someone who loves to be photographed What algorithm for a tic-tac-toe game can I use to determine the "best move" for the AI? Black flakes from new cast iron pan I bought a brand new Lodge 12" cast iron pan, washed it in soap and warm water and dried it with a paper towel thoroughly. Then I applied a thin layer of canola oil with a paper towel (paper towel was clean - not black after this application) and then heated the empty pan on my electric stove for 15-20 minutes. The oil on the pan smoked a bit, some parts of the pan turned slightly ashy (grey). Mostly everything looked OK.   After I turned it off and cooled the pan, I now take a clean paper towel and rub the surface and I see black flakes! What is this? Is this the oil broken down? Can I cook in the pan or wash it with soap to eliminate the black flakes? Once washed and dried should I rub canola oil again? This is my first experience with cast iron. Any pointers will help. How to remove enamel from wire? I want to repair my computer mouse cable which has become disconnected from the PCB. The wire is insulated with enamel and I have to remove it before soldering it back onto the board.  How should I remove the enamel? Prove that $T$ has an orbit of period 3 How to discard unsaved changes to a view when editing it leads to a WSOD? Are neutrinos affected by electromagnetic forces? I know they don't interact with matter nor any electromagnetic forces, but I know they have mass, very little mass but they have. When something has mass it must be attracted by gravity and other objects (electromagnetic) right? I have an iMac, connected to the Internet via Ethernet, and an iPhone 4. I would like to share the iMac's Internet connection to my iPhone via the USB Cable (because my wife dreams of a wifi-less household).  I've set up Internet Sharing, specifying "sharing from: Ethernet  via: USB IPhone", but when I test, the iPhone cannot connect to the Internet. Is there something I need to activate on the iPhone?   iMac, mac os x version: Mountain Lion, 10.8.4 iPhone 4, IOS Version: 6.1 How many Marvel Earths (Universes) are there? If the Standard Normal PDF is $$f(x) = \frac{1}{\sqrt{2\pi}} e^{-x^2/2}$$  and the CDF is  $$F(x) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^x e^{-x^2/2}\mathrm{d}x\,,$$  how does this turn into an error function of $z$? Ok, so at my school, everybody was supplied with a Macbook Pro. I set up the Messages app and it was all great until the county decided to block it. Now, instead of receiving text messages on my phone they go to my Mac. I have no idea how to fix this because I can't open the Messages app. Please help?! If $a_k\geq0$ is a decreasing sequence converging to $0$, do we have $\lim_{n\to\infty}\frac{\sum_{k=1}^n a_k}n = 0$? When trying to deploy the converted metadata using VS code sfdx force:mdapi:deploy deploy to my Production Org and I get the error Property 'itemInstances' not valid in version 48.0 and Property 'processOrder' not valid in version 48.0. But when I go to Developer Console and open a class, even though it says 48.0, I have the option to select 49.0, so I am assuming I have 49.0. Yet I get this error. Pretty much all my classes, trigger and components are version 48.0, but I am not sure how that affects flexipages and Approval processes. Are there integer solutions to $9^x - 8^y = 1$? How does Dijkstra's Algorithm and A-Star compare? How can I upgrade to Java 1.8 on an Amazon Linux Server? I tried sudo yum update but it just keeps java "1.7.0_75". I need 1.8 for it to work with another application but can't figure out how to upgrade it. Do I need to manually install it somehow? There's not much information on this on the internet as far as I can see. Specs:   java version "1.7.0_75" OpenJDK Runtime Environment (amzn-2.5.4.0.53.amzn1-x86_64 u75-b13) OpenJDK 64-Bit Server VM (build 24.75-b04, mixed mode)   When I try update now:     [ec2-________]$ sudo yum update Loaded plugins: priorities, update-motd, upgrade-helper amzn-main/latest                                         | 2.1 kB     00:00 amzn-updates/latest                                      | 2.3 kB     00:00 No packages marked for update   Is there anything else I need to do? Thanks. FME - Calculate distance of point along a line I have created an FME workspace which inputs a pipeline as well as other linear features which cross it (waterways, roads, railways, fences, other pipelines, etc).  The output is a point file which contains the crossing type.  What I would like to do is calculate the distance along the pipe from the start of the pipeline for each intersection.  So, as you travel along the pipeline, the distance attribute will increase.   I'm thinking that I'll need to use some of the linear referencing tools like MeasureGenerator, MeasureExtractor, or something like that, but I'm not sure how to do so.  Does anyone have an idea of how to do this? Where can I install ubuntu if I have 4 primary partitions? I want to triple boot Windows 7, Backtrack, and Ubuntu. Windows and Backtrack are already installed. The problem is that both of them take 4 partitions: 3 for Windows, and 1 for Backtrack. When I try to make another partition, it says I can't have over 4. How can I install Ubuntu with this problem? Note: The 3 Windows partitions are PQSERVICE, SYSTEM RESERVED, and eMachines. I don't really know if I can delete one. Modify iPhone restrictions passcode Is there a way to change the restrictions passcode on an iPhone without restoring the phone? I haven't forgotten the passocde; I just want to change it.