Algebraic Theory of General Topology and Discontinuous Analysis
6/10 sections recovered · name · leaderboard description · platform metadata cover · match catalog tags · match catalog funding · leaderboard submissions · match catalog
3 fund applications (1 curated) · 1 season
General topology as actions of ordered semicategories + discontinuous analysis using generalized limit.
MathScience science-research
Project details match catalog
About
I generalize all kinds of spaces in general topology (metric spaces, topological spaces, etc.) as ordered semicategory actions + apply it for analysis of arbitrary (discontinuous) functions.
Impact
Ordered semicategory actions are apparently as important as group theory, that it is like 1/2 of world economy or more. Discontinuous analysis is also important.
Progress
I started to research ordered semicategory actions in general et al. I also researched generalized limit. Recently, I realized that ordered semigroup actions can be represented as double ordered semigroups.
Team
I am the person who discovered "funcoids" and (you won't believe) ordered semigroup actions and generalizations. I discovered generalized limit and completed discovery of discontinuous analysis by operations on values of generalized limits.
Funding
| Sales | Venus | S+V | Match | S+V+M | Venus extras | Prize | V2+M+P | V2/S | (V2+M)/S | (V2+M+P)/S | Raised | Available | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Season 6 | $0 | $0 | $0 | $0 | $0 | $0 | $10 | $10 | — | — | — | $0 | — |
| Total | $0 | $0 | $0 | $0 | $0 | $0 | $10 | $10 | — | — | — | $0 | — |
Fund applications
| Season | Fund | Status | Applied |
|---|---|---|---|
| Season 4 | Commons Fund for Public Goods Pioneers | submitted | 2024-07-03 |
| Season 4 | DeSci Fund for Scientific Innovation | curated | 2024-07-02 |
| Season 6 | HyperDeSci fund for Open Science | submitted | 2025-10-30 |
Season totals as displayed on the platform's public accounting — not a statement of amounts paid out. V2 = Venus sales + Venus extras. The original page also broke each season down by fund drive and showed an Available (unclaimed) balance; that level of detail survives only on the preserved snapshots.
Platform page (offline): https://artizen.fund/index/p/algebraic-theory-of-general-topology-and-discontinuous-analysis
Leaderboard page (offline): https://artizen.fyi/projects/algebraic-theory-of-general-topology-and-discontinuous-analysis
Wayback: leaderboard page ↗ · Wayback: platform page ↗
Not recovered: creator, links, drives, snapshot. Sources: "snapshot" = verbatim Internet Archive page · "platform metadata" = archived artizen.fund page metadata · "leaderboard" = the artizen.fyi public accounting tables · "match catalog" = the platform's public fund-matching catalog (captured 2026-10-15, generated 2026-09-07) · "community catalog" = a June 2026 platform scrape preserved in a community repo.
Top siblings
Projects that applied to the same funds.
| Project | Shared funds | Raised | |
|---|---|---|---|
| 1. | Empowering Youth Through Digital Skills & Innovation A transformative initiative equipping young minds with digital skills and training to cre… | Commons Fund for Public Goods Pioneers, DeSci Fund for Scientific Innovation, HyperDeSci fund for Open Science | $6,911 |
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| 4. | LunCoSim - Opensource Collaborative Space Missions Simulator professional space engineering for enthusiasts and experts to collaboratively design hum… | Commons Fund for Public Goods Pioneers, DeSci Fund for Scientific Innovation, HyperDeSci fund for Open Science | $393 |
| 5. | R🟡UTE 47 I create unique and imaginative picture books using the lines drawn by children with Down… | Commons Fund for Public Goods Pioneers, DeSci Fund for Scientific Innovation, HyperDeSci fund for Open Science | $20 |
| 6. | DeSci Reviews A market-minded decentralized scientific publishing platform | Commons Fund for Public Goods Pioneers, DeSci Fund for Scientific Innovation, HyperDeSci fund for Open Science | $1 |
| 7. | Web3 Academy Bangladesh Empowering the next generation of Web3 innovators in Bangladesh through education, communi | Commons Fund for Public Goods Pioneers, DeSci Fund for Scientific Innovation, HyperDeSci fund for Open Science | $0 |
| 8. | Escher, Crochet, and the Geometry of Living Systems I'll create a crochet pattern for an Escher art piece. Art, math, feminism, and education… | Commons Fund for Public Goods Pioneers, DeSci Fund for Scientific Innovation, HyperDeSci fund for Open Science | $0 |
Other funds of top siblings
Artizen Fund for Human Creativity Illuminate Fund for Citizen Scientists Solarpunk Futures Fund Third Place Fund for Community Hubs Juicebox Project Accelerator Fund Console Fund For Community Builders Cyberdelic Fund for Expanding Consciousness Based Creators Fund for New Onchain Creators