A Noetherian topological space is a type of topological space that satisfies a particular property related to its open sets, inspired by Noetherian rings in algebra. Specifically, a topological space \( X \) is called Noetherian if it satisfies the following condition: - **Finite Intersection Property**: Every open cover of \( X \) has a finite subcover.

Non-well-founded set theory is a branch of set theory that allows for sets that can contain themselves as elements, either directly or indirectly, leading to the formation of infinite descending chains. This is in contrast to classical set theory, particularly Zermelo-Fraenkel set theory with the Axiom of Foundation (or Axiom of Regularity), which restricts sets to be well-founded.

The Well-ordering principle is a fundamental concept in set theory and mathematics that states that every non-empty set of non-negative integers (or positive integers) contains a least element.

Dots is a simple yet engaging puzzle game where players aim to connect dots of the same color on a grid to create lines. The main goal is to connect as many dots as possible within a limited number of moves or time. Players can connect dots horizontally or vertically, and the more dots they connect in a single move, the more points they earn.

"Misfit" is a short story by the author and playwright J. D. Salinger, known for exploring themes such as alienation, identity, and the struggles of adolescence. The story often revolves around characters who feel out of place or disconnected from society, reflecting Salinger's recurring exploration of the complexities of human experience.

Sir Cumference is a fictional character often used in educational contexts, particularly in mathematics, to help explain concepts related to circles, geometry, and mathematics in general. The character is typically portrayed as a knight whose adventures revolve around geometric principles. The name "Sir Cumference" is a playful pun on the term "circumference," which refers to the distance around a circle. The character is often featured in a series of children's books that aim to make learning about math fun and engaging.

Rush Hour is a sliding block puzzle game designed by Nob Yoshigahara. The objective of the game is to move a red car out of a grid-like traffic jam of vehicles by sliding them around. The game features a 6x6 grid and includes several vehicles of different lengths, each blocking the way in various configurations. Players need to figure out the correct sequence of moves to free the red car, which is usually located at the center of the grid.

Stave Puzzles is a company known for creating high-quality, handcrafted wooden jigsaw puzzles. Founded in 1974, Stave Puzzles is recognized for its unique designs, intricate pieces, and the use of fine hardwoods such as maple and walnut. Unlike traditional jigsaw puzzles, Stave Puzzles often incorporate imaginative themes and artistic elements, making them appealing to both puzzle enthusiasts and collectors.

A Froebel star, also known as a "Froebel star ornament" or "Froebel star decoration," is a geometric paper star created using a specific folding technique. Named after Friedrich Froebel, the German educator who founded the concept of kindergarten, the Froebel star is often associated with early childhood education and hands-on learning. These stars are typically made from strips of colored paper and involve a folding process that results in a three-dimensional star shape.

A horosphere is a geometric concept commonly encountered in differential geometry and hyperbolic geometry. It can be thought of as a generalization of the notion of a sphere in hyperbolic space. More formally: 1. **Definition**: In hyperbolic space, a horosphere is defined as the set of points that are at a constant hyperbolic distance from a given point on the boundary at infinity of hyperbolic space.

A **pseudomanifold** is a generalization of the concept of a manifold that allows for more flexibility in the structure and topology of the space while retaining certain geometric properties. In particular, pseudomanifolds are useful in various areas of mathematics, such as topology, differential geometry, and algebraic geometry.

Edmund Harriss is a mathematician known for his work in mathematical visualization, geometry, and the mathematical aspects of art and design. He has contributed to various fields, including the application of mathematics in creating visual representations and patterns. Harriss has also been involved in education and outreach, emphasizing the importance of visualization in understanding mathematical concepts.