Path-connected space-connectivity and homotopy

Reference no: EM13125795

Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.

Reference no: EM13125795

Questions Cloud

A logical fallacy : a logical fallacy

How do you find the selling expense : The company does not manufacture its own skis; it purchases them from a supplier for $158 per pair. How do you find the selling expense?

Violating the clean water act : Appellant Iverson appealed a conviction of four counts of violating the Clean Water Act (CWA),[1] the Washington Administrative Code (WAC), and the City of Olympia's Municipal Code (Olympia code). He also appealed the conviction of one count of consp..

Determine the mass of citric acid produced : C12H22O11(aq) + 3 O2(g) 2 H3C6H5O7(aq) + 3 H2O(l) Determine the mass of citric acid produced when 4.60 mol C12H22O11 is used.

Path-connected space-connectivity and homotopy : Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.

Ending inventory of plastic : The cost of plastic is $0.03 per ounce. How much is the ending inventory of plastic to be reported on the company's balance sheet at September 30?

Compare the advantages of using the retail method : High-volume retailers generally use the retail method for valuing inventories Instead of the various cost methods. Identify and evaluate the conditions that may distort the results under the retail method.Compare the advantages of using the retail..

Group theory-closure and associativity : To determine whether the system described is a group. G = set of all integers, a.b = a - b

Explain vapor pressure of ideal solutions : Explain Vapor Pressure of Ideal Solutions, At 25C the vapor pressures of chloroform and carbon tetrachloride are 26.54 and 15.27 kPa respectively. If the liquids form ideal solutions

Reviews

Write a Review

Required(*) Message

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

User Account

All Pages