Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones

Keyphrases

• Zariski Topology 100%
• Monoid 100%
• Automatic Continuity 100%
• Polish Topology 100%
• Polish Semigroup 50%
• Topological Monoid 16%
• Cantor Set 16%
• Second-countable 16%
• Pointwise Topology 16%
• Semigroup 16%
• Inverse Monoid 16%
• Continuous Function 16%
• Symmetric Inverse Monoids 16%
• Natural numbers 16%
• Hilbert Cube 8%
• Andon 8%
• Homomorphism 8%
• Boolean 8%
• Toa 8%
• Injective 8%
• Product Topology 8%
• Full Transformation Monoid 8%
• Inverse Semigroup 8%
• Partition Monoids 8%
• Surjective 8%
• Small Index Property 8%
• Partial Transformation 8%
• Algebraic Structure 8%
• Discrete Topology 8%
• Atomless 8%
• Function Clones 8%
• Hausdorff 8%
• Transformation Monoid 8%

Mathematics

• Monoids 100%
• Zariski Topology 100%
• Semigroup 38%
• Natural Number 9%
• Continuous Function 9%
• Pointwise Topology 9%
• Cantor Set 9%
• Inverse Semigroup 4%
• T1-Topology 4%
• Hilbert Cube 4%
• Product Topology 4%
• Additional Result 4%
• Open Topology 4%
• Coincides 4%
• Discrete Topology 4%
• Algebraic Structure 4%
• Homomorphism 4%
• Minimal Hausdorff 4%