- #1
Jamin2112
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Let Y denote the following subset of ... (URGENT!)
None.
Halp! This is the last problem on my homework which is due tomorrow.
I don't know how to start this because, according to my textbook (Munkres), when we check whether a set A is open in Y, we are asking whether it belongs to the topology of Y. But I know nothing about the topology of Y, the subspace topology, because I first need to have a topology defined on ℝ2 in order to have a subspace topology.
From the book:
Definition. Let X be a topological space with topology T. It Y is a subset of X, the collection
TY = { Y intsct U | U in T}
is a topology on Y, called the subspace topology.
Homework Statement
Homework Equations
None.
The Attempt at a Solution
Halp! This is the last problem on my homework which is due tomorrow.
I don't know how to start this because, according to my textbook (Munkres), when we check whether a set A is open in Y, we are asking whether it belongs to the topology of Y. But I know nothing about the topology of Y, the subspace topology, because I first need to have a topology defined on ℝ2 in order to have a subspace topology.
From the book:
Definition. Let X be a topological space with topology T. It Y is a subset of X, the collection
TY = { Y intsct U | U in T}
is a topology on Y, called the subspace topology.