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SOLVED: Define a topology on ℤ by declaring a set A to be open if and only if n ∈A implies -n ∈A. Show that ℤ with this topology is second countable and limit point compact but not compact. | Numerade

SOLVED: Define a topology on ℤ by declaring a set A to be open if and only if n ∈A implies -n ∈A. Show that ℤ with this topology is second countable and limit point compact but not compact. | Numerade

2022年2月8日

Let K / k be a Galois extension. We define the Krull topology on the group G(K / k)=G by defining a base for open sets to consist of all sets σH where σ∈G and H=G(K / F) for some finite extension F of k contained in K. (a) Show that if one takes only those sets σH for which F is finite Galois over k then one obtains another base for the same topology. (b) The projective limit lim G / H is embedded in the direct product HlimH / H →∏H G / H Give the direct product the product topology. By Tychonof

Let K / k be a Galois extension. We define the Krull topology on the group G(K / k)=G by defining a base for open sets to consist of all sets σH where σ∈G and H=G(K / F) for some finite extension F of k contained in K. (a) Show that if one takes only those sets σH for which F is finite Galois over k then one obtains another base for the same topology. (b) The projective limit lim G / H is embedded in the direct product HlimH / H →∏H G / H Give the direct product the product topology. By Tychonof

discuss the difference between a physical topology and a logical topology why are both necessary 05362

discuss the difference between a physical topology and a logical topology why are both necessary 05362

SOLVED:Explain the major advantages and disadvantages of a star… | Numerade

SOLVED:Explain the major advantages and disadvantages of a star… | Numerade

What Is Network Topology? | IBM

What Is Network Topology? | IBM

Types of Network Topology - GeeksforGeeks

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