Prove that the no-retraction theorem is equivalent to Brouwer's theorem. The following proposition, due to Knaster, Kuratowki,
Question:
The following proposition, due to Knaster, Kuratowki, and Mazurkiewicz (K-K-M), is equivalent to the Brouwer theorem. It is often used as a step on the way to the Brouwer theorem. It is more useful than the Brouwer theorem in some applications.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (15 reviews)
Noretraction Brouwer Note first that the noretraction theor...View the full answer
Answered By
ANDREW KIPRUTO
Academic Writing Expert
I have over 7 years of research and application experience. I am trained and licensed to provide expertise in IT information, computer sciences related topics and other units like chemistry, Business, law, biology, biochemistry, and genetics. I'm a network and IT admin with +8 years of experience in all kind of environments.
I can help you in the following areas:
Networking
- Ethernet, Wireless Airmax and 802.11, fiber networks on GPON/GEPON and WDM
- Protocols and IP Services: VLANs, LACP, ACLs, VPNs, OSPF, BGP, RADIUS, PPPoE, DNS, Proxies, SNMP
- Vendors: MikroTik, Ubiquiti, Cisco, Juniper, HP, Dell, DrayTek, SMC, Zyxel, Furukawa Electric, and many more
- Monitoring Systems: PRTG, Zabbix, Whatsup Gold, TheDude, RRDtoo
Always available for new projects! Contact me for any inquiries
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Prove Theorem. Ea??. E(SSA) = (k - 1)o? n i=1
-
Prove that the K-K-M theorem is equivalent to Brouwer's theorem, that is, K-K-M theorem Brouwer's theorem The classic application of the Brouwer theorem in economics is to prove the existence of...
-
Let f: B B be a continuous operator on the closed unit ball B in a finite-dimensional normed linear space. Show that the no-retraction theorem implies that f has a fixed point.
-
Freight and other handling charges on goods out on consignment are part of the cost of goods consigned. What is its appropriate account title in the income statement prepared by the consignor?...
-
An examination of rejects shows at least 10 problems. Problem Frequency 1 ...........673 2 ........... 29 3 ...........108 4 ...........379 5 ........... 73 6 ...........564 7 ........... 12 8...
-
1. What is the difference between an ISP and a web host? 2. What is the argument for protecting ISPs from liability for content? 3. Is there an argument that web hosts should be treated differently...
-
A cloth manufacturer finds that 1 in every 400 shirts produced is faded. Find the probability that (a) the first faded shirt is the eighth item produced, (b) the first faded shirt is the first,...
-
Kay Wing, Inc., prepared the following balance sheet at December 31, 2016. Kay Wing, Inc. Balance Sheet as of December 31, 2016 Cash................................................................$...
-
Although anxiety is self-limiting, the nurse can help to reduce anxiety by: (Select all that apply.) 1. providing a safety net for the patient. 2. teaching relaxation exercises. 3. helping the...
-
1. Construct truth tables for the following PC wff and use the tables to determine whether or not each is PC-valid: (a) p (b) ~ (p q) (~ p ~ q) (c) ~ (p (q ~ p)) r 2. Explain with reference to...
-
Let B denote the closed unit ball in a finite-dimensional normed linear space B = {x X: ||x|| 1} and let S denote its boundary, that is, S = {x X: ||x|| 1} There is no continuous function r: B S...
-
Prove the K-K-M theorem directly, using Sperner's lemma. Let A0, A1,..., An be closed subsets of an n-dimensional simplex S with vertices x0, x1,..., xn. If for every I {0, 1,..., n} the face...
-
Apple, the company Jobs cofounded, was a pioneer in the consumer electronics world; its key product introductions included the Apple II (1977), the Macintosh (1984), the iPod and iTunes (2001), the...
-
Next, assume that Y is equal to length(m). How would this affect your conclusions your previous answer? If you were tasked with obtaining the best speedup factor possible (i.e., strong scaling),...
-
Consider the solar water heating scheme illustrated in Fig. 4.20. To analyze this scheme, choose a control surface that includes all the components shown and cuts through the cold water supply and...
-
Modern bank runs Consider a simple bank that has assets of 100, capital of 20, and checking deposits of 80. Checking deposits are liabilities of a bank. a. Set up the banks balance sheet. b. Now...
-
Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. The present discounted value of a stream of returns can be calculated in...
-
a. What evidence is presented in the text that income inequality has increased over time in the United States? b. Use supply and demand of educated workers to explain the increase in income...
-
Bradford Machine Company maintains a general ledger account for each class of inventory, debiting such accounts for increases during the period and crediting them for decreases. The transactions...
-
The following information is available for Partin Company: Sales $598,000 Sales Returns and Allowances 20,000 Cost of Goods Sold 398,000 Selling Expense 69,000 Administrative Expense 25,000 Interest...
-
The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the...
-
Continuation of Exercise 4-83. (a) What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? (b) What is the probability that there are no major...
-
The lifetime of a mechanical assembly in a vibration test is exponentially distributed with a mean of 400 hours. (a) What is the probability that an assembly on test fails in less than 100 hours? (b)...
-
Describe, in steps, at least one strategy used to attack embedded operating systems. Describe, in steps, at least one strategy used to defend against the chosen attack.
-
how does a hypercompetetice environment challenge those in an industry
-
Describe how managers can reduce unnecessary costs, including real - world examples of how it has been done
Study smarter with the SolutionInn App