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• Yesterday, 04:14
This is actually a proof of (ii) $\Rightarrow$ (iii) in Lemma 3.2. So we are assuming that (ii) holds. In particular, since $\overline{ f(A) }$ is...
1 replies | 55 view(s)
• April 3rd, 2020, 22:31
I am reading Aisling McCluskey and Brian McMaster: Undergraduate Topology, Oxford University Press, 2014... ... and am currently focused on Chapter...
1 replies | 55 view(s)
• April 1st, 2020, 06:35
Not quite, although you started correctly. The limit in this case is as $x\to\infty$, so you want to see what happens when $x$ gets large. This means...
3 replies | 144 view(s)
• March 31st, 2020, 14:52
Hi Goody, and welcome to MHB! To prove that \lim_{x\to\infty}\frac{x-1}{x+2} = 1, you have to show that, given $\varepsilon > 0$, you can find $N$...
3 replies | 144 view(s)
• March 26th, 2020, 21:12
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.4: Basis ... ......
0 replies | 137 view(s)
• March 24th, 2020, 21:54
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.4: Basis ... ... ...
0 replies | 129 view(s)
• March 24th, 2020, 21:36
Thanks GJA ... I appreciate your help ... Peter
2 replies | 166 view(s)
• March 23rd, 2020, 03:05
In a recent post I wanted to use a capital tau ... and so typed \mathcal{ \Tau_1 } but generated an error ... Can someone please help ... ... ...
2 replies | 124 view(s)
• March 23rd, 2020, 02:51
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.4: Basis ... ... ...
2 replies | 166 view(s)
• March 19th, 2020, 22:50
Thanks Oxide ... I really appreciate your help ... Peter
2 replies | 229 view(s)
• March 19th, 2020, 06:00
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 4, Section 4.1: Sequences ... ...
2 replies | 229 view(s)
• March 19th, 2020, 05:41
Hi GJA ... .. Thanks so much for the help ... Peter
2 replies | 206 view(s)
• March 18th, 2020, 22:20
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 4, Section 4.1: Sequences ... ...
2 replies | 206 view(s)
• March 18th, 2020, 22:04
Thanks Evgeny ... Your post turned out to be really helpful ... Appreciate your help ... Peter
2 replies | 176 view(s)
• March 15th, 2020, 02:15
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.2: Topological ...
2 replies | 176 view(s)
• March 14th, 2020, 19:42
Thanks for the help, Opalg ... really appreciate it ... Just working through what you have written ... Thanks again ... Peter
2 replies | 97 view(s)
• March 14th, 2020, 10:49
The key to this lies in Theorem 1.3.5, which says that $x\in\overline{A} \Longleftrightarrow U\cap A\ne\emptyset$ for every (open) nbd of $x$. ...
2 replies | 97 view(s)
• March 14th, 2020, 10:01
This follows from the statement immediately before Proposition 1.3.2, where it says that $A$ is open if and only if $A = A^\circ$. Since $A^\circ$ is...
1 replies | 58 view(s)
• March 14th, 2020, 04:03
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.2: Topological ...
1 replies | 58 view(s)
• March 13th, 2020, 23:08
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.2: Topological Spaces...
2 replies | 97 view(s)
• March 10th, 2020, 22:58
Thanks HallsofIvy ... appreciate your help ... Peter
2 replies | 232 view(s)
• March 8th, 2020, 21:51
I am reading Sasho Kalajdzievski's book: "An Illustrated Introduction to Topology and Homotopy" and am currently focused on Chapter 3: Topological...
2 replies | 232 view(s)
• March 7th, 2020, 03:31
I am reading Wilson A. Sutherland's book: "Introduction to Metric & Topological Spaces" (Second Edition) ... I am currently focused on Chapter 8:...
0 replies | 123 view(s)
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