# Questions tagged [nets]

A net is a generalization of a sequence where a directed set is used as the index set instead of positive integers. Convergence of nets can be defined in a similar way as convergence of sequences. Convergent nets in a topological space uniquely determine its topology.

**3**

**2**answers

### Relative compactness in topological spaces (reference request)

**6**

**1**answer

### Do multiplicative Banach limits exist?

**0**

**1**answer

### Lower semicontinuity of a multi-valued map $F:X\to 2^Y$ in term of net

**1**

**0**answers

### Quantification over Nets

**0**

**0**answers

### Reference Request: Egoroff Theorem for nets

**4**

**1**answer

### Convergent net in a quasi-uniform space which is not Cauchy

**2**

**1**answer

### Characterization of nets with no convergent subnets in Banach spaces

**5**

**1**answer

### The need for nets in topology

**4**

**2**answers

### What is a generalized limit?

**-2**

**1**answer

### How one can use a real math function on transaction in Hybrid Petri Net fundamental equation?

**1**

**1**answer

### Why is the doubling dimension of any net of a metric space at most half of that of the metric space?

**2**

**1**answer

### How does “inhibitor arc” fit into fundamental equation of Hybrid Petri Nets?

**2**

**1**answer

### A quasicompact space with a net that contains no convergent strict subnet

**7**

**1**answer

### What should the morphisms in the Category of Directed Sets be?

**5**

**1**answer

### Connection between subnet and superfilter

**1**

**0**answers