Due Wednesday, November 6, in class

*ed problems are recommended

Section 32 problems 3, 4, 5*, 6, 7*
Section 33 problems 2, 7, 8

Due Wednesday, October 30, in class

*ed problems are recommended and not graded

Section 30 problems 2*, 3, 5, 7*, 8*, 11, 12*, 13*
Section 31 problems 1*, 2, 3*, 4*, 5, 6

Due October 23 in class

The *ed problems are recommended.

Section 26 problems 6, 11
Section 27 problems 4, 6*
Section 28 problems 3, 6*, 7*
Section 29 problems 6, 7*, 8*

Due Wednesday, October 9

* denoted recommended (not graded) problems

A. Let \(X\) be the subset of \(\mathbb{R}^2\): \(X = \{[0,1] \times 0\} \cup \{1/n \times [0,1]: n\in\mathbb{Z}_+\}\cup \{0\times[0,1]\}\). Show that \(X\) is connected and path-connected, but neither locally connected nor locally path-connected.

Section 23 problems 1*, 2*, 3*, 8 and 9
Section 24 problems 1*, 2, 3, and 8*
Section 25 problems 3*, 4*, 7*, and 8