Comb space, denoted as \( C \), is a particular type of topological space that serves as a classic example in the study of topology, particularly in the context of properties such as connectedness and compactness.
The Eternity puzzle is a geometrical jigsaw puzzle designed by British mathematician Alex Bellos and created by David J. Chalmers. Originally released in 1999, it consists of 209 irregularly shaped pieces that are meant to fit together to form a large, symmetrical shape, usually in the form of a 600-piece puzzle. The challenge is to assemble the pieces in such a way that they fit together perfectly without any gaps or overlaps.
The term "Indian topologists" typically refers to mathematicians from India who specialize in the field of topology, which is a branch of mathematics concerned with the properties of space that are preserved under continuous transformations. Topology has many applications across various branches of mathematics and science, including analysis, geometry, and even computer science. Indian mathematicians have made significant contributions to topology and related fields. Some prominent figures in this area include: 1. **R. L.
Topological fluid dynamics is a interdisciplinary field that explores the behavior of fluid flows through the lens of topology, a branch of mathematics concerned with the properties of space that are preserved under continuous transformations. The study of fluid dynamics involves the motion of liquids and gases, while topology focuses on the properties that remain unchanged through deformations, twists, and stretching, but not tearing or gluing. In topological fluid dynamics, researchers examine how the structure and arrangement of flows can be described using topological concepts.
The term "Binary Game" can refer to several different concepts depending on the context. Here are some possibilities: 1. **Binary Number Games**: These are educational games aimed at teaching or reinforcing concepts related to binary numbers, which are the basis of computer science and digital electronics. Players might convert decimal numbers to binary or perform operations using binary numbers.
Allison Henrich is a mathematician known for her work in areas such as topology, particularly in knot theory and low-dimensional topology. She is recognized for her contributions to the understanding of knots and their properties, as well as her efforts in promoting mathematics through outreach and education.
In the context of mathematics, particularly in topology, a **graph** can refer to a couple of concepts, depending on the context—most commonly, it refers to a collection of points (vertices) and connections between them (edges). However, it might also refer to specific topological constructs or the study of graphs within topological spaces. Here’s a breakdown of what a graph generally signifies in these contexts: ### 1.
The "infinite broom" is a concept that originated from a visual trick or optical illusion often paired with the idea of an infinite staircase. It can be humorously interpreted or portrayed in various ways, typically involving a broom that appears to endlessly sweep or never run out of bristle length or cleaning capability. In a more abstract or philosophical sense, it might evoke discussions about infinite processes or the nature of infinity in mathematics or philosophy.
In mathematics, a **partially ordered set** (or **poset**) is a set combined with a binary relation that satisfies three properties: reflexivity, antisymmetry, and transitivity. These properties enable us to compare elements of the set in a way that is not necessarily total, meaning not every pair of elements needs to be comparable. 1. **Reflexivity**: For every element \( a \) in the set, \( a \leq a \).
Lower limit topology, also known as the standard topology on the real numbers, is a specific topology defined on the set of real numbers \(\mathbb{R}\). This topology is generated by a basis consisting of all half-open intervals of the form \([a, b)\) where \(a < b\).
In the context of topology, a **nilpotent space** is often associated with the concept of **nilpotent groups** in algebra, particularly in relation to algebraic topology, where one considers the properties of spaces through their homotopy and homology. A topological space is said to be **nilpotent** if its higher homotopy groups become trivial after some finite stage.
A Prüfer manifold, also known as a Prüfer domain or Prüfer ring, is a specific type of mathematical structure studied in commutative algebra and algebraic geometry. It is named after the mathematician Hans Prüfer. In algebraic terms, a Prüfer manifold is a generalized space in which certain sets of ideals exhibit a property similar to that of a Dedekind domain, but with more flexible conditions.
Christopher Zeeman is a British mathematician known for his work in topology and the theory of dynamical systems. He is particularly recognized for introducing the concept of "catastrophe theory," which deals with how small changes in parameters can lead to sudden and dramatic shifts in behavior of complex systems. This theory has applications in various fields, including biology, economics, and engineering. Zeeman has also made contributions to the popularization of mathematics and its applications in the real world.
Daniel Kan is known for being a co-founder of several startups and companies, most notably the ride-sharing service "Fellow," which he co-founded after his time at the well-known startup "Lime" where he worked in various roles. He has also been involved in the tech and entrepreneurial space, contributing to discussions on innovation, business strategies, and technology.
Bernard Morin could refer to various individuals or contexts, as it is a relatively common name. In some cases, it might refer to a professional in fields such as academia, business, or the arts. However, without specific context, it's difficult to pinpoint exactly who or what is being referenced.
As of my last knowledge update in October 2023, there is no widely known public figure or concept specifically associated with the name "Bernardo Uribe." It’s possible that he could be a private individual or a less-public personality that is not widely covered in major news sources or literature. If you’re referring to a specific person or context (like a character in a story, a historical figure, etc.
Gheorghe Călugăreanu is known in the field of mathematics, particularly for his contributions to algebra and topology. He gained recognition for his work on the theory of algebraic structures and was instrumental in the development of concepts that are foundational in these domains. His research has had a significant influence on various areas of mathematics, including the study of algebraic topology and the development of certain algebraic systems.
Elisenda Grigsby is not a widely recognized public figure or term as of my last update in October 2023. It's possible that she could be a private individual or a fictional character, or that she has become more prominent after my last knowledge update.
Eric Friedlander is a contemporary American cellist and composer, known for his versatile contributions to a variety of musical genres, including classical, jazz, and improvisational music. He has performed in diverse settings, from recitals and solo performances to collaborations with renowned musicians and ensembles. Friedlander is also recognized for his work in film and theater, as well as for his innovative approach to the cello.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact