Billyelliotdubladotorrent
Billyelliotdubladotorrent
https://colab.research.google.com/drive/1WowLsVdh5G01B71S1Fl6fY9TD-SSEtfo
https://colab.research.google.com/drive/1L767Sgbgvsoi9Lj1pUXpPXirOPMK2lSe
https://colab.research.google.com/drive/1vRKBbP-g6xXJIxYDU_xt1PEY0Idtw2sS
https://colab.research.google.com/drive/1BoyrwvmyKqvGJ8aXd4HH5EJAj94d06G3
https://colab.research.google.com/drive/15h-wZIX9Qo2ORkktRaQkFTxqcp8kTB_T
Does anyone know what the problem is?
A:
Could you confirm that the file(s) “vendor/magento/module-cms/view/frontend/templates/content/downloadable-product.phtml” exist?
If so, please make sure that the file is ‘php7′ version(i.e.vendor/magento/module-cms/view/frontend/templates/content/downloadable-product.phtml.php), and its content doesn’t contain any language codes like’str_replace’,’strtoupper’,’strtolower’,’switch’ (which could change the original default file content if you haven’t modify it).
Q:
Is there a better way of showing that the Halmos topological group has a countable subbase than the approach described here?
Here is the problem.
Let $G$ be a Halmos topological group. Show that $G$ has a countable subbase.
My approach:
Let $\mathcal B=\{B(x,r): x\in G, r\in \mathbb Q^+\}$. It’s clear that $\mathcal B$ is countable. We need to show $\mathcal B$ is a subbase. The proof is a tedious exercise I will skip to save time.
A:
The problem is just a special case of a general theorem of topology and group theory which says that if $G$ is a Hausdorff second countable (i.e., compact, connected, locally compact) locally connected group, then $G$ is locally compact Hausdorff (i.e., it has a countable base, or equivalently, it has a pre-compact neighborhood base). If one wants to have a “quick and dirty” proof of this fact, one can simply show that since Hausdorff compact second countable locally connected groups are metrizable, they are first countable (see, e.g., Billingsley, Topological groups, pp. 220-221).
It has been a big week for Hillary Clinton.
First, as was reported by Breitbart News on Wednesday, FBI Director James Comey told members of Congress that the agency was reviewing the newly-found emails found on a computer used by disgraced former Congressman Anthony Weiner, husband of longtime Clinton
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