# PiBase: Topology — Topological Database (Maths)

> A database of topological counterexamples, theorems, properties, and references. (iPhone/iPad app by Felipe Cruz.)

- Source: https://appshunter.io/ios/app/pibase-topology/id1612405297 (this page in markdown: same URL + `.md`)
- Developer: [Felipe Cruz](https://appshunter.io/developer/1564637782)
- Category: Education
- Price: Free
- Rating: 5.00/5 from 1 App Store ratings
- Age rating: 4+
- Requires: iOS 13.0 · 36 MB
- Languages: English
- Released: 2022-03-08
- Data updated: 2026-06-03
- Monetization: ad-supported
- User reviews in markdown: https://appshunter.io/ios/app/pibase-topology/id1612405297/reviews.md

## What is PiBase?

π-Base Topology is a community database of topological counterexamples.

The database has:
- Topological Spaces
- Topological Theorems.
- Topological Properties.
- References (Books, Articles, Forums).

Information inside the app:
- Space, Theorem and Property descriptions.
- Properties that are (and aren´t) satisfied by a given space.
- Converses of theorems for which a given space is a counterexample.
- Given a property, which spaces satisfy and don´t satisfy it.
- Counterexamples for the converse of a given theorem. If the converse is True, a proof or reference is given.
- Spaces that satisfy a given logical formula formed with properties (search by formula).
- References.

## Key features

- Topological Spaces database
- Topological Theorems database
- Topological Properties database
- Reference library
- Search by logical formula
- Counterexample exploration


## Frequently asked questions about PiBase

### What kind of mathematical concepts does PiBase cover?

PiBase focuses on topology, providing a database of topological spaces, theorems, and properties. It's designed to help users explore counterexamples and related mathematical concepts.

### Can I search for specific mathematical relationships within PiBase?

Yes, PiBase allows you to search for spaces that satisfy a given logical formula formed with properties. This advanced search functionality helps pinpoint specific mathematical relationships.

### Does PiBase offer proofs for theorems?

If the converse of a theorem is true, PiBase may provide a proof or a reference to one. It also offers counterexamples for the converse of a given theorem.

### What devices is PiBase available on?

PiBase is available on iPhone, iPad, and iPod. It is designed for Apple mobile devices.

### How often is PiBase updated?

The latest version of PiBase was released on March 23, 2023, indicating active development and updates. The initial release was on March 8, 2022.

### What is the age rating for PiBase?

PiBase has an age rating of 4+, making it suitable for a wide range of users interested in mathematics.

### Does PiBase have ads?

Yes, PiBase contains advertisements. As a free application, it utilizes ads to support its development and maintenance.

### Is PiBase suitable for learning topology?

PiBase is an excellent resource for learning topology, especially for understanding counterexamples and theorems. Its structured database format aids in exploring complex mathematical ideas.

## Version history (last 3 releases)

### 1.2 — 2023-03-23

Big fixes.

### 1.1 — 2022-07-22

- DARK THEME is here!!!
- Bug Fixes.

### 1.0 — 2022-03-08

No release notes.

## Apps similar to PiBase

| App | Rating | Price | Category |
| --- | --- | --- | --- |
| [Yuzeno](https://appshunter.io/ios/app/yuzeno/id1535337085) | — | Free | Education |
| [Water Rocket Fun](https://appshunter.io/ios/app/water-rocket-fun/id1639808978) | 5.0 (1) | Free | Education |
| [Least Squares Curve Fit](https://appshunter.io/ios/app/least-squares-curve-fit/id6443509668) | 5.0 (2) | Free | Education |
| [Vectors and Planes](https://appshunter.io/ios/app/vectors-and-planes/id1605294727) | 4.5 (4) | Free | Education |
| [Higgsy](https://appshunter.io/ios/app/higgsy/id1623065412) | 5.0 (1) | Free | Education |
| [Derivative-Calculus](https://appshunter.io/ios/app/derivative-calculus/id1618969952) | — | Free | Education |

## More apps by Felipe Cruz

- [Atherio: Generate Schedules](https://appshunter.io/ios/app/atherio-generate-schedules/id1564637780)
- [WakeMapp](https://appshunter.io/ios/app/wakemapp/id6740886513)

All apps by Felipe Cruz: https://appshunter.io/developer/1564637782

## Related topics

[topology](https://appshunter.io/ios/topics/topology) · [density spaces](https://appshunter.io/ios/topics/density-spaces)

---

*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-06-03.*