What’s on the Open & Closed Sets poster
10 entries in 2 groups.
Open and closed are not opposites of each other.
- Open sets: Every point has a ball lying inside, Arbitrary unions stay open, Finite in…
- Closed sets: Contains all of its limit points, Arbitrary intersections stay closed, F…
∅ and ℝ are both open and closed at once. [0, 1) is neither. 'Not open' never licenses the conclusion 'closed'.
Questions about the Open & Closed Sets poster
- What’s on the Open & Closed Sets poster?
- 10 entries in 2 groups. Open and closed are not opposites of each other. Open sets: Every point has a ball lying inside, Arbitrary unions stay open, Finite in…; Closed sets: Contains all of its limit points, Arbitrary intersections stay closed, F…. ∅ and ℝ are both open and closed at once. [0, 1) is neither. 'Not open' never licenses the conclusion 'closed'.
- Who is the Open & Closed Sets poster for?
- Open & Closed Sets belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning analysis can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Open & Closed Sets poster?
- Any topology or metric-space argument starts by getting these straight. A wall chart earns its place by being glanceable from where the work is happening, so Open & Closed Sets belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Open & Closed Sets?
- Absolute vs Conditional, Bolzano-Weierstrass and Cauchy Sequences sit alongside Open & Closed Sets in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Absolute vs ConditionalBolzano-WeierstrassCauchy Sequences
- Is the Open & Closed Sets poster free to download and print?
- Yes. Open & Closed Sets downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Open & Closed Sets poster print at?
- Open & Closed Sets is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Open & Closed Sets loses nothing.Printing guide
Related posters
Charts that sit alongside Open & Closed Sets on the same wall.
Browse every Mathematics poster, or start from the full catalogue.