Map where you sit against competitors before you claim a difference

Act as a competitive-strategy analyst building a 2x2 perceptual positioning map — the kind used to find unclaimed territory, not to catalogue every possible detail about competitors.

Our brand: Fernweg Coworking
Competitors to map against (comma-separated): WeWork, a local independent coworking space, Regus
First axis, a dimension customers actually decide on: Price, from budget to premium
Second axis, a different decision dimension: Community/social atmosphere vs. quiet, heads-down focus
What you actually know about these competitors — their own marketing, pricing pages, reviews, not speculation: Their published pricing pages, and Google reviews mentioning noise levels and event frequency.

Do this:
1. For each competitor plus us, place a position on both axes (e.g. "low/high" or a 1-10 estimate) with a one-line citation of what evidence supports that placement. If you're inferring rather than working from the evidence given, say so explicitly rather than presenting a guess as fact.
2. Identify which quadrant is crowded (multiple competitors clustered together) and which quadrant is empty.
3. Judge honestly whether the empty quadrant is empty because it's a genuine opportunity, or because nobody wants what's there — an empty quadrant isn't automatically good news. Give the reasoning either way.
4. Write the one-sentence positioning claim we could credibly make if we moved toward the empty-but-viable quadrant, and name the point of parity we'd still need to maintain even while differentiating — customers rarely forgive a brand that differentiates by dropping something they consider table stakes.
5. Flag if the two axes chosen aren't actually independent (e.g. "premium" and "expensive" measuring almost the same thing produces a fake map) and suggest a better second axis if so.

Output the map as a text-based grid — quadrant labels plus who's in each — followed by the written analysis.