Introduction to Topology

[ride1157]

This video was not very helpful and to those people below me that copied and pasted the video description and said it was good are full of poop. I think those comments are spam.

[melisantika]

I am very happy to see the vidoe This first lecture of the series Comically Small Lectures On Point Set Topology from you, hopefully the others also are happy for You

[Onepissite]

I am very happy to see the vidoe after you give this This first lecture of the series Comically Small Lectures On Point Set Topolog

[Ondelendo]

I Love The Video It Can Increase My Knowledge This first lecture of the series Comically Small Lectures On Point Set Topology. We will give: the definition of a topology,

[bebeheuy]

Steady I Really Like This Video This first lecture of the series Comically Small Lectures On Point Set Topology. We will give: the definition of a topology, open and closed sets, and the basis for a topology

[willamricard]

Nice Video That You Share , So Very Nice Thanks You This first lecture of the series Comically Small Lectures On Point Set Topology

[imegatrone]

I Really Like The Video From Your This first lecture of the series Comically Small Lectures On Point Set Topology. We will give: the definition of a topology, open and closed sets, and the basis for a topology. Examples of topologies, including the trivial topology, the discrete topology

[anakmudajaman]

after i watched this video This first lecture of the series Comically Small Lectures On Point Set Topology., my insight is very open because the video is very good to give information

[identification21]

i agree with @gr33nman, these "comically small lectures" are comical in that they do not help the viewer to understand anything new -- rather, they serve as a good reminder for those who have already been exposed to this material.

[TheBossCoder]

Sounds a lot like boolean algebra.

[gr33nman]

This is not an introduction. You've merely listed a number of formulas, assuming your audience already has a working knowledge of your algorithmic grammar. You have explained nothing.

[nicknack175]

he keeps sayin oout...canadians.......

[youngllac]

@nicknack175 this is so true, I was just talking about this the other day. They say "oot" and "ridic". lol

[tagerdinmoedom]

????

[McFro95]

wtf?

[namejune]

Ha, Parker. Hows the grad school? If you are in Wateroo, might be not such a bad idea to go and work with B.D Park.

[subfrozenfury]

Omg....he is so cute.....And not for a mathematician but just in general.

[DumBitchXXX4LifeRoxZ]

Awesomeness! Keep up the great work! =)

[SlashSkull]

i began freaking out once you started teaching a new set of foreign letters there dude O_O

[TheODEProject]

the video is nice, but its a bit too superficial. Its more for people who are already have been studied topology i think...

greets :)

[FallofDarkness55]

string theory math.

[yyttr4]

WHY, WHY MUST THERE BE A SET THAT IS BOTH OPEN AND CLOSED?!

[TheODEProject]

@yyttr4

you just have to prove it! It works when you take a look for example at the empty set. on one hand its closed, because it hasnt any open subset. On the other hand its open, because it contains no closed subset or a single point (wich already is a closed set...).

[Landofjello]

So clear??? Is this some bizarre satire? I cant understand anything....

[rumpranger65]

Thanks for the introduction. So clear!

[XiTaLiAnRaVeX]

u need to have a good understand of mathematics to understand topology, for all of you who are saying this isnt helpful is because if you are trying to learn how to walk before you crawl(learning topology before set theory) your gonna struggle. His presentation is sound and accurate while being easy to follow.

[DavidMTRutten]

Is it just me or is this stuff only comprehensible to people who already understand what it's about?

[whoppix]

@DavidMTRutten Well, you'd definitely want to have some set-theory basics in place first, as well as a good foundation in calculus, algebra, etc.

[rumpranger65]

@DavidMTRutten Nah just need to know sets.

[ThoughtSpaceZero]

For those who are looking for a long series on point-set topology, I have started an ongoing series of videos which can be found at my user page.

The series will ultimately be approximately 200 videos in length.

[peskyslobbers]

@ThoughtSpaceZero wow those are amazing, really easy to follow! I always struggled with analysis but you explain it so simply!

[jonnyfied]

dammmmmm I know I seen u somewhere around.....how was peterborough thanksgiving?

[carlo4528]

im on lsd tonight and this really chilled me out

[pikkefar]

noninformative, this geek is not learing me anything

[TheBrnadon]

@pikkefar maybe you should learn English first

[pikkefar]

noinformative, this geek is not learing me anything

[jerzkid87]

it made me sad that i didnt understand any of this

[davidrmh]

is there a relation between a sigma field and a topology?

[Ahamarou]

A couple small errors in the definition of a base.

First, property 2 should be "For each x ∈ I = b1 ∩ b2, where b1, b2 ∈ B, there is a b3 ∈ B st. b3 ⊆ B."

In other words the intersection of any two sets in the base can be written as the union of sets in the base. This gives us the finite intersection property in the base's union-closure.

Finally, B must be a collection of subsets of X. Else B's topological closure isn't a topology on X.

Aside from this, great lecture! Hope to see more.

[rmhism]

@Ahamarou "For each x ∈ I = b1 ∩ b2, where b1, b2 ∈ B, there is a b3 ∈ B st. b3 ⊆ B."

Small correction: it would be ".... there is a b3∈B s.t. x∈b3⊆(b1∩b2)".

[kittywaymo]

thank you for your videos:) kitty

[ayarportugal]

thank you for this introduction! keep doing videos.

[mathproof]

Boring!

[32BIT]

@forestfeanor

well that's just the discrete topology; it ain't really that fun....

what's really fun is the topology on Z used in Furstenberg's proof of the infinitude of primes. that's a really fun one! xD

[sarahemify]

so helpful!

[wintroller]

You know what, I think I will get drunk so I can understand this nonsense a little better.

[MrEinsteinz]

Probably...but I thought the guy made it clear enough.

[apoptosis11656]

This is a very nice overview, thanks for this.

It's difficult to learn from by itself but it supplements book studying very nicely.

[davidkleinthefamousp]

doesn't he know the difference between "wye" and a "tee"?

why does he not explain anything? is it because that there is no useful information in his presentation?

[mathproof]

How is it that you think that the definition is a topology is not useful?

[pumangokin]

@mathproof Well it's not useful if you consider that this is an "introduction" to topology - the definition of most mathematical concepts is useless until you understand what they actually mean.

[mathproof]

Why don't you understand what "it" means?

[pumangokin]

@mathproof I personally do understand because I study maths at university, but if this were, say, a Physics video, then I'd like to have a grasp of the subject matter before I were given a formal definition.

[mathproof]

I think motivating ideas prior to beginning the formal course is a great idea. That approach helps people to avoid getting lost in the details. IAs an example, in the documentary "Fermat's Last Theorem" on Youtube, Dr. Weil used concept boxes to illustrate the flow of the proof. Having said that, Topology is a course in abstract mathematics--at least at my university, and not easily surveyed by people not interested in mathematics beyond pure recreation.

[ghostriderrrrrrrrrr]

that all was some what quite useful to me.

[man4528]

u can find this in every introuction in the topology book

kinda useless

[animecloudman]

please speak english

[Haffi88112]

Please make more topology videos! This is very useful.

[apatternforu]

please stop saying omega as Amega! But thank for the prep... Maybe you should post a video on algebraic topology

[Arycke]

Lol, it's almost as bothersome as saying "Ewe-ler" for Euler :-)

[TheDarkMoon666]

@apatternforu Or you know you lazy shit, go get a book?

[tprdfh51]

Yes Lesley - he is definately a math whiz. Carry on Parker!