Self Rule Lab? thrives as a collaborative hub, driven by multifaceted motivations:

• Assembling Information: Integrating contemporary perspectives, especially through the ambit of concept-oriented research related to articles.
• Providing Exposition: Crafting explanations that resonate with a diverse readership.
• Developing Ideas & Research: Engaging collaboratively to refine ideas, methodologies, and concept-oriented research addressing challenges in problem domains?.

Detailing our pragmatic approach:

• We’re avid curators of foundational definitions and facts, especially when they are underrepresented, shaping them into research bulletins.
• We conceptualize the platform as an avant-garde laboratory designed for the collective genesis and presentation of concepts and ideas.

The quintessence of Self Rule Lab? is rooted in its aptitude to nurture and apply pioneering concepts across varied domains. Guided by this ethos, we:

• Favor progressive perspectives over traditional notions, spotlighting avant-garde, algebraic, homotopical, and categorical interpretations.
• Draw clear boundaries between canonical content, contemporary reformulations, and avant-garde research insights.
• Advocate for robust discourse to enhance content depth and richness. For strategies to foster such dialogues, one can refer to the HowTo bulletin.

SelfRuleLab Terms of Use

The overarching mission of Self Rule Lab? is to facilitate broad access to information while fostering meaningful interconnections. Adherence to time-honored academic norms is imperative for all users and contributors:

• Open Use and Distribution: Leveraging and sharing content from Self Rule Lab? is both free and advocated, provided due attribution is made — in line with standard academic conventions.

  • While a formal licensing agreement isn’t universally ratified, for legal or formal matters, users are encouraged to inspect the licensing declarations on individual contributor’s Self Rule Lab? pages.
  • Noting the dynamic nature of Self Rule Lab? content, when citing, pointing to a precise version might be beneficial. A comprehensive revision history is accessible via the History link located at each page’s footer.

• Public Contributions: Content submitted to Self Rule Lab? becomes openly accessible. Contributors should recognize that their input might be utilized, possibly edited, by others. It is hoped that users will rightfully credit your work, and any edits made will respect and enhance the original content. Similarly, it is crucial for contributors to duly acknowledge their sources when integrating new material into Self Rule Lab?.

Page Organization

We advise authors to categorize content using sections and subsections, mirroring the * Template page?.

Although pages begin small, they expand over time. Structured subsections aid in comprehending content, especially in a collaborative setting, guiding authors on where to add new content. Think of selfruleLab more as an encyclopedia than a storybook.

Cross-links

• Interlinking is a cornerstone of Selfrule Lab?. Content gains value when it’s connected to related information within the platform.

• Hyperlink central keywords by enclosing them in square brackets. Aim to link each keyword, especially upon its first occurrence. Never assume the reader’s background aligns with yours. When introducing technical terms, always provide links to Selfrule Lab? entries that define them.

• When creating a new page, ensure it’s linked from at least one other pertinent page. This assists both users in navigating and search engines in indexing Selfrule Lab?, making new entries more discoverable through related searches.

A key aspect of selfruleLab is interconnectedness. Adding unlinked information doesn’t maximize its value. Always hyperlink central keywords, especially upon their first mention, to ensure readers from varying backgrounds can follow.

Furthermore, newly created pages should be linked from at least one pertinent page. For instance, a new type of manifold should be linked from the “related entries” on the _? page.

Such interlinking not only aids users but also optimizes selfruleLab’s visibility on search engines.

How to Cite and Record References in SelfruleLab

At the conclusion of each Selfrule Lab? entry, include a section titled:

## References

or, alternatively,

## Literature

This section should contain a list of pertinent references. Follow the standardized format below for each entry in the list:

* {#LastnameAnotherlastnameYear} [[Firstname Lastname]], [[Anotherfirstname Anotherlastname]], _Title_, Journal, volume, year ([arXiv:xxxx.yyyyy](https://arxiv.org/abs/xxxx.yyyyy), [doi:xyz](http://doi.xyz))

When rendered, this appears as:

Firstname Lastname, Anotherfirstname Anotherlastname, Title, Journal, volume, year (arXiv:xxxx.yyyyy, doi:xyz)

To reference the above citation in the main content of the entry, use:

see ([Lastname-Anotherlastname Year](#LastnameAnotherlastnameYear))

Upon rendering, this becomes:

see (Lastname-Anotherlastname Year)

Using this format creates a clickable hyperlink that, when accessed, highlights the related reference in a gray box.

Special Typesetting Features on selfruleLab

Linking to Subsections and Blocks

Linking to Subsections

• To define a section with a linkable anchor:

  ## Heading {#anchorname}

Linking to Subsections

1. Creating Section Headers with Anchors: ## Heading {#anchorname}

2. Linking to the Section:

   • Within the same page: [link text](#anchorname)
   • Different page: [[some page#anchorname|link text]]
   • External link: Add http://selfrulelab.org before the link.

3. Linking to Text Blocks:

   • Add anchor at start: * {#xyz} Reference
   • Link within the same page: [link text](#xyz)

Equations

1. Automatic Numbering:

2. Label & Refer:

• Add label: \label{SomeEquation}\exp(\pi i) + 1 = 0
• Refer later: See equation \eqref{SomeEquation}.

Creating a Standout Box in selfruleLab

To emphasize important text using a standout box:

+-- {: .standout}
Your standout content here
=--

Adding a Floating Table of Contents in selfruleLab

For a floating TOC that auto-collapses until hovered over, use:

+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
### Context
#### Category Theory
+-- {: .hide}
[[!include category theory - contents]]
=--
=--
=--