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Showing posts from February 20, 2019

iOS PWA Audio Restrictions

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0 I'm making a platform which involves the server triggering Audio to be played with Socket.io. I'm trying to make a PWA for iOS using similar code, but it just doesn't work and I've heard that Safari requires user interaction (I am using this with the full screen PWA meta tag, not through Safari directly). It works fine on the latest version of Chrome on desktop. Is there anyway to make this work? Web Interface (uses same audio playing and socket.io code): https://github.com/archiebaer/bithop-web-interface javascript ios html5 audio socket.io share | improve this question asked Nov 21 '18 at 22:16

Homology group of $SL(2,mathbb{R})/SL(2,mathbb{Z})$

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8 3 $begingroup$ My friend asks me how to compute the homology group of $X=SL(2,mathbb{R})/SL(2,mathbb{Z})$ . It is not hard to see that $H_0(X)=mathbb{Z}$ , and for $qge 4$ we have $H_q(X)=0$ . But I don't know how to compute $H_q(X)$ for $q=1,2,3$ , since the action of $SL(2,mathbb{Z})$ seems 'strange' to me, and I can't make $X$ into a CW complex. Can anyone help me? algebraic-topology manifolds homology-cohomology share | cite | improve this question edited Jan 16 at 7:36 Bonbon asked Jan 16 at 5:52