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$$\bullet$$ Linear Algebra

($$1$$) Corollary of Theorem 3, Section 2.2 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4473121/861687)

($$2$$) Theorem 13, Section 3.4 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4495476/861687)

($$3$$) Exercise 13, Section 3.4 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4500574/861687)

($$4$$) Theorem 22, Section 3.7 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4510481/861687)

($$5$$) Exercise 5, Section 3.7 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4512194/861687)

($$6$$) $$\mathrm{dim}(F[x])=\infty$$ (link: https://math.stackexchange.com/q/4520246/861687)

($$7$$) Theorem 1, Section 5.2 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4540412/861687)

($$8$$) Exercise 6, Section 5.2 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4536877/861687)

($$9$$) Exercise 9, Section 5.3 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4546362/861687)

($$10$$) Exercise 10, Section 5.3 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4544498/861687)

($$11$$) Exercise 11, Section 5.3 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4546856/861687)

($$12$$) Exercise 4, Section 5.4 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4550640/861687)

($$13$$) Exercise 6, Section 5.4 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4553308/861687)

($$14$$) Definition of Projection on $$R$$ along $$N$$ in Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4626550/861687)

($$15$$) Exercise 6, Section 6.2 of Hoffman’s Linear Algebra (link: https://math.stackexchange.com/q/4582583/861687)

($$16$$) Exercise 10, Section 6.2 of Hoffman’s Linear ALgebra (link: https://math.stackexchange.com/q/4585750/861687)

$$\bullet$$ Topology

($$1$$) Theorem 20.3 of Munkres’ Topology (link: https://math.stackexchange.com/q/4367787/861687)

($$2$$) Exercise 5, Section 20 of Munkres’ Topology (link: https://math.stackexchange.com/q/4373842/861687)

($$3$$) Exercise 6, Section 31 of Munkres’ Topology (link: https://math.stackexchange.com/q/4451175/861687)

($$4$$) Exercise 7(b), Section 31 of Munkres’ Topology (link: https://math.stackexchange.com/q/4452805/861687)

($$5$$) Exercise 1, Section 32 of Munkres’ Topology (link: https://math.stackexchange.com/q/4448298/861687)

($$6$$) Exercise 3, Section 32 of Munkres’ Topology (link: https://math.stackexchange.com/q/4460433/861687)

($$7$$) Exercise 1, Section 33 of Munkres’ Topology (link: https://math.stackexchange.com/q/4463970/861687)

($$8$$) Chapter 11, Theorem 5.2 (4) of James Dugundji Topology (link: https://math.stackexchange.com/q/4451556/861687)

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