Все публикации

0:02:24

Closed subspace of compact space is compact | Topology | Compactness

0:01:53

Compactness | Finite intersection property | Topology | Theorem

0:03:44

Compactness | Finite intersection property | Topology | Theorem

0:03:52

Compactness | Open cover | Finite subcover | Topology

0:04:34

Local connectedness | Topology | Components

0:02:36

Path components | Equivalence relation | Topology

0:02:24

Topologist's sine curve | Topology

0:03:00

Path connected spaces | Topologist Sine Curve | Connectedness

0:02:41

Least upper bound property and linear continuum | Topology | Definition and examples

0:03:54

Lemma and Examples of Connected Space | Connectedness | Topology

0:08:16

Theorem regarding quotient map | Topology

0:03:05

Example of quotient map | Closed map | Continuous function

0:02:33

Quotient map | Saturated open set | Topology

0:06:13

Theorem regarding continuous function | Continuity of function| Topology | Closed set | Limit point

0:02:22

Local formulation of continuity | Topology | Continuous function

0:01:54

Pasting Lemma | Continuous Function | Topology

0:02:42

Dense and nowhere dense set with examples | Topology | Z is nowhere dense in R and Q is dense in R.

0:02:32

Restriction of continuous function is continuous | Topology | Open set in subspace

0:03:36

Limit points and closed set | Topology | Metric space

0:01:45

Interior and closure of a set | Interior of set | Topology | Metric space | Subspace topology

0:02:09

Continuous function in topology | Topology | Metric space | Open set | Hausdorff space

0:02:03

Every simply ordered set is Hausdorff space in order topology | Simply ordered set

0:02:22

Product of Hausdorff spaces is Hausdorff space | Topology | Regular Space | Separation Axioms

0:02:17

Product Space | Product Topology | Basis for product topology | Topology | Regular space