Tomorrow I will register for the summer semester and I should take the topology subject but the problem is all the students whom I asked about it they told me that topology is the hardest subject in the math is that true or not ??

and what topology talk about I have a small information about it I think it talk about sets and spaces right ??

is there a relation between topology and real analysis ??

Thanks ..

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Your question is almost impossible to answer in the absence of knowing the description of the course. I studied topology for three years straight, Point Set Topology; we never once saw a theorem with a number of any sort in it. So I will say the better one is at set theory the easier topology will be.

I think there's no universal harder subject in math. (Some people can find very easy what most people find hard, and vice-versa)
That said, if this is of any help I show you the Topology's assignments my University gives to math majors : topología (click on the clickeable links of the page). Unfortunately it's all in Spanish, but I don't think it differs that much from English. There are also some online translator if you're really interested in the page.

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Isaac

The course talk about the

1)topology spaces

2)open sets and closed sets

3)the boundaries of the set

4)aciniform(bunch) points for the set

5)isolated points

6)partial relative spaces

7)spaces To , T1 , T2

8)compact spaces and connected spaces

9)rules and partial rules

10)continuous functions

11)open and closed functions

12)inside , outside and boundaries of the set

this from the syllabus I translated it since it was written in Arabic not English but we take the course in English
I wish I translated them correctly

Thanks

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Well, perhaps you'll need similar reasonings as in real analysis... stuff with quantifiers, continuities... in which it may be an extension of real analysis.
Your course looks interesting

The hardest.. ? It depends on people. If you ask someone who hates probability and loves analysis which will be the hardest between the two, he may answer probability.
This is all subjective.

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In my experience Topology is not a overly difficult course when it comes to the lectures and key ideas/theorems, but the exams can be a right ***** sometimes (but this is all obviously subjective)

I prefer topology infinitely more than I do probability, and find the topology lectures easier to follow and more interesting, but when it comes to exams probability questions are so much easier.

The course you described looks similar to the first part of the course I took. A lot of real analysis-ey stuff at first but persevere!

I definitely recommend topology, it was one of my overall favourite courses and has some really interesting ideas.

That would be me.

Same here...

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Just because a subject is hard doesn't mean you shouldn't do it - I find real analysis impossible, and yet I am in love with the subject! Also, last semester I took what was supposed to be the hardest pure module my uni did - "Group Rings". It was hard, but it was actually quite a nice module.

Challenges are good. Also, if a course is challenging it can often lead to a much deeper understanding of the subject area.

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