Topology Definitions: Connected and Path-Connected

preview_player
Показать описание
Connectedness is a key idea in topology and metric spaces that describes whether a topological space can be separated into two components. This video explains the open set definition of connectedness and describes the topologist's sine curve as a non-example that motivates the definition of path-connectedness.

Timestamps:
0:00 connectedness
9:59 path-connectedness

Subscribe to see more new math videos!

Music: OcularNebula - The Lopez
  1. Mu Prime Math
  2. math
Рекомендации по теме
Topology Definitions: Connected 0:15:06

Topology Definitions: Connected and Path-Connected

Weird Topological Spaces 0:13:07

Weird Topological Spaces // Connected vs Path Connected vs Simply Connected

Path Connected Space 0:16:01

Path Connected Space / Topology

Path connected subsets 0:07:35

Path connected subsets -- definition and examples

Topology Lecture 18: 1:19:41

Topology Lecture 18: Connectedness

Path Connected Space 0:01:05

Path Connected Space is Connected: Math Notes for the Curious

Topology Lecture 19: 0:43:49

Topology Lecture 19: Path-Connectedness

Connected sets - 0:06:43

Connected sets - Definition and Examples | Topology

Path Connectedness 0:21:20

Path Connectedness

Topology Lecture 18 0:22:07

Topology Lecture 18 (Connected, Locally connected, Path connected)

Connectedness 0:27:03

Connectedness

path connected space 0:08:44

path connected space is connected

Is the ordered 0:07:34

Is the ordered square path connected? | Path Connected spaces | Topology

Topology I: Unit 0:09:59

Topology I: Unit IV: Arcwise or Path Connected Spaces

Lec 12. Path 0:23:39

Lec 12. Path connected spaces

path connected space 0:05:12

path connected space

Pathwise connected topological 0:08:21

Pathwise connected topological space

Path connectedness 1 0:48:47

Path connectedness 1 (Topology - Connectedness)

M2201 - Metric 0:27:11

M2201 - Metric Topology - Section 4.2 - Path connectedness

#40 Topology || 0:13:22

#40 Topology || Path Connected Spaces || Definition

Topology & Analysis: 0:59:51

Topology & Analysis: connected and path connected, 2-8-19 part 1

Connectedness - Lecture 0:02:45

Connectedness - Lecture 29 - Path Connected Metric Space

Paths 0:12:23

Paths

mod06lec37 - Connected 0:32:16

mod06lec37 - Connected and Path-connected Components

Комментарии
Автор

thank you for content . I hope you will continue make such content, especially about abstract theories (Group theory, Topology, Abstract Algebra etc)

daniiltonkonog
Автор

your explanations are so intuitive and your videos feel friendly and comfortable!! thank you for producing content, i will keep watching!! i especially love topology and algebraic geometry and groups and rings and whatnot. your video was wonderful, my friend!!

lexinwonderland
Автор

Just turned in a homework set on this last night 😅

Iponamann