Write a complete set of proofs for Theorem 4.5 in the Croom book. – State the hypotheses – State the conclusions – Clearly and precisely prove the conclusions from the hypotheses – Results presented earlier in the text may be used and must be clearly documented A few notes about format: use Microsoft Word; use Equation Editor for all mathematical symbols, e.g. x ∈ X or Cl(A) ⋂ Cl(X-A); and use the fonts Cambria and Cambria Math in size 11 so your typed work is the same font as your equations. Course and Learning Objectives
This Writing Assignment supports the following Course and Learning objectives: CO1: Determine whether a collection of subsets of a set is a topology and determine a basis for a topology. LO3: Understand the definitions for interior, closure, and boundary of a set. PLEASE USE QUESTION #1
