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15921441 No.15921441 [Reply] [Original]

Could someone recommend me a topology book, ideally dover because they are cheap.
With respect to quality, somethin akin "A book of astract algebra" by Pinter. Many thanks in advance

>> No.15921455
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15921455

>>15921441
Pic related was my textbook in undergrad. The professor did heavily supplement with other material but it's a good starting point and very inexpensive.

>> No.15921468

>>15921455
By the table of contents and amazon reviews it seems like the book lacks important stuff. Would prefer not to requiere to supplement with additional material. Still if you could tell me about the paper and print quality of that particular book. Thanks.

>> No.15921478

>>15921441
>>15921455
Anything that isn't fucking dover

>> No.15921482

>>15921478
Your argument being?

>> No.15921496

If you want it cheap, get on amazon and just filter for a used cheap hardcover and you'll find plenty of them starting bei probably 1 bucks. Why waste money on an inferior dover paperback?

>> No.15921504
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15921504

>> No.15921508

General Topology by Kelley
Yes it is a Dover
https://www.amazon.com/General-Topology-Dover-Books-Mathematics/dp/0486815447

>> No.15921514
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15921514

>>15921468
Example of the print quality. I am not sure how to rate paper quality, it's not glossy or anything.

>> No.15921532

>>15921441
Munkres has been the canonical textbook for Topology in American Universities since ages. Why bother going for something else when Munkres has proven itself? Another popular book used to be Dugundji but probably not suitable for a first course.

>> No.15921552
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15921552

Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
>https://vixra.org/abs/2111.0072
>http://gg762.net/d0cs/papers/Fractional_Distance_v8-20230808.pdf
Recent analysis has uncovered a broad swath of rarely considered real numbers called real numbers in the neighborhood of infinity. Here we extend the catalog of the rudimentary analytical properties of all real numbers by defining a set of fractional distance functions on the real number line and studying their behavior. The main results of are (1) to prove with modest axioms that some real numbers are greater than any natural number, (2) to develop a technique for taking a limit at infinity via the ordinary Cauchy definition reliant on the classical epsilon-delta formalism, and (3) to demonstrate an infinite number of non-trivial zeros of the Riemann zeta function in the neighborhood of infinity. We define numbers in the neighborhood of infinity as Cartesian products of Cauchy equivalence classes of rationals. We axiomatize the arithmetic of such numbers, prove all the operations are well-defined, and then make comparisons to the similar axioms of a complete ordered field. After developing the many underlying foundations, we present a basis for a topology.

>> No.15921554
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15921554

>>15921552

>> No.15921555
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15921555

>>15921552
>>15921552

>> No.15921570

>>15921514
Looks good. For paper quality, have you seen those pearson idian with very thin pages, i would call that bad paper quality.

>> No.15921571

>>15921532
Too expensive.

>> No.15921572

>>15921508
How Kelley's book compare to Gamelin or Mendelson? Sorry for being so obnoxious but i'm poor, if i had the money honestly would buy them all.

>> No.15921613
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15921613

Sutherland's "Introduction to Metric and Topological Spaces" is a very good starting point and is not too expensive

>> No.15921628

>>15921570
Oh yeah it's definitely heavier paper than those International Edition textbooks.

>> No.15921634

>>15921628
>date] [Auto] 2
i was reading the index he introduces categories and functors a the end of the topological space chapter. Does the author keeps using this definitions for the rest of the book?

>> No.15921642

>>15921634
I don't think so, but it's been 15+ years.

>> No.15921652

>>15921642
thanks man, you've been really helpfull. Will think this a litle bit more but i'm sure i'm buying either Mendelson or Gamelin book.

>> No.15921681

>>15921571
Geez what a moron.

>> No.15921726

>>15921572
you can get it at libgen DOT rs
no experience with those books