Weakly and Nearly Countably Compactness in Generalized Topology

Round 1

Reviewer 1 Report

Comments for author File: Comments.pdf

Author Response

Yes, I am attaching the reply.

Author Response File: Author Response.pdf

Reviewer 2 Report

The paper, after minor revision according to the attached report, deserve to be publishd. Best regards.

Comments for author File: Comments.pdf

Author Response

YEes, we replied the second report

Author Response File: Author Response.pdf

Reviewer 3 Report

The authors introduced the notions of weakly µ-countably compact space, and nearly µ-countably compact space. We study the effect of hereditary class on weakly µ-countably compact space and nearly µ-countably compact space. Moreover, we use properties of functions to investigate the effects of some types of continuity on weakly µ-countably compact spaces and nearly µ-countably compact spaces. Furthermore, differences between these two new spaces and the other known spaces are investigated.

The following are the specific comments that I suggest the authors to revise:

There are many typos errors.

Abstract should be revised in a scientific view. 

The similarity of the paper is seems to be high. 

In section 4, the line 394 “Y is Wβf(H)-CC” instead of “Y is Wβ(H)-CC”.

In section 4, the line 403 “Y is Nβf(H)-CC” instead of “Y is Nβ(H)-CC”.

Although authors provided many examples, they are not practical examples. It is recommended that authors concretize the parameters and universe in the examples to improve readability.

The authors only presented a mathematical framework, but there is no specific application to illustrate applicable.

 

Author Response

Yes, we reply the third report.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

Dear the authores,

    I have checked your revised paper. All are OK.

   

Reviewer 3 Report

Can be accepted, now.