# Site projects:Patrolling topology

From Maths

## Contents

## Goals

The topology pages are some of the oldest on the site, they really need updating.

## Tasks

### Done

n=11

- Bounded linear map -
**DONE**- Alec (talk) 04:13, 6 May 2016 (UTC) - Bounded (linear map) -
**DONE**- Alec (talk) 04:13, 6 May 2016 (UTC) - Convergence (sequence) -
**DONE**- Alec (talk) 21:14, 20 April 2016 (UTC) - Convergence of a sequence -
**DONE**- Alec (talk) 21:14, 20 April 2016 (UTC) - Equivalence of Cauchy sequences -
**DONE**- Alec (talk) 21:06, 20 April 2016 (UTC) - Equivalence of Cauchy sequences/Definition -
**DONE**- Alec (talk) 21:06, 20 April 2016 (UTC) - Equivalence of Cauchy sequences/Proof -
**DONE**- Alec (talk) 21:06, 20 April 2016 (UTC) - Quotient (topology) -
**DONE**- Alec (talk) 15:55, 21 April 2016 (UTC) - Topological space -
**DONE**- Alec (talk) 13:51, 20 April 2016 (UTC) - Topological space/Definition -
**DONE**- Alec (talk) 11:45, 20 April 2016 (UTC) - Topology -
**DONE**Alec (talk) 20:50, 12 May 2016 (UTC)

### Marked

### Not done

n=88

- Basis
- Basis for a topology
- Bounded
- Bounded (sequence)
- Bounded (set)
- Bounded sequence
- Bounded set
- Cauchy sequence
- Cauchy sequence/Definition
- Cauchy sequence/Short definition
- Characteristic property of the quotient topology
- Circle
- Closed set
- Closure, interior and boundary
- Compact
- Compact-to-Hausdorff theorem
- Compactness
- Compactness/Uniting covers proof
- Complete metric space
- Completeness
- Cone
- Connected space
- Connected (topology)
- Continuity
- Continuity and non-surjective functions
- Continuity definitions are equivalent
- Continuous
- Continuous function
- Continuous map
- Continuous map/Claim: continuous iff continuous at every point
- Cover
- Covering
- Covering space
- Differentiation
- Discrete metric
- Discrete metric and topology
- Discrete metric and topology/Metric space definition
- Discrete metric and topology/Summary
- Discrete topology
- Every map from a space with the discrete topology is continuous
- Fundamental group
- Hausdorff space
- Homeomorphism
- Homotopic paths
- Homotopy class
- Indiscrete topology
- Template:Inner product and Hilbert spaces navbox
- Interior
- Interior point
- Limit (sequence)
- Limit point
- Lingering sequence
- Mertric subspace
- Metric
- Metric space
- Template:Metric spaces navbox
- Motivation for quotient topology
- Motivation for topology
- Natural projection
- Neighbourhood
- Norm
- Template:Normed and Banach spaces navbox
- Null sequence
- Open and closed maps
- Open ball
- Open balls
- Open cover
- Open covering
- Open set
- Open sets
- Orientable surface
- Paths and loops in a topological space
- Product topology
- Projection
- Projection map
- Quotient topology
- Relatively closed
- Relatively open
- Sequential compactness
- Sphere
- Subspace topology
- Topological property theorems
- Topology induced by a metric
- Template:Topology navbox
- Topology theorems
- Totally bounded
- Trivial topology
- Types of set algebras